nonlinear pricing to produce information we investigate the firm s dynamic nonlinear pricing problem when facing consumers whose tastes vary according to a scalar index we relax the standard assumption that the firm knows the distribution of this index in general the firm should determine its marginal price schedule as if it were myopic and produce information by lowering the price schedule bunching consumers at positive purchase levels should be avoided as a special case we also consider a market characterized by homogeneous consumers with a static but unknown demand curve we show that when there are repeat purchases the forward looking firm should tend towards penetration pricing otherwise its strategy should tend towards skimming we extend our insights to more general settings and discuss implications for pricing product lines

inventory and sales effort management under unobservable lost sales a retailer needs to make decisions regarding how much to order and how much sales effort to exert in an environment with uncertain demand one intrinsic complexity in a typical retail environment is caused by the fact that the retailer can obtain information about demand only based on sales as demand itself is unobservable taking a bayesian approach lariviere and porteus 1999 show that in such a setting a retailer should stock more to increase the probability of an exact demand observation in this article we extend their work by allowing the retailer to control both the stocking quantity and sales effort which can be used to affect demand we show that their insights with respect to information stalking carry over to this setting in addition our model allows gaining a better understanding of optimal sales effort strategies we find that demand management has a dual role in supporting information gathering while at the beginning of a product life cycle it is optimal to support learning effects by sharply reducing sales effort at later stages of the product life cycle an aggressive strategy of increased promotional activities can be used to harvest the information gathered in earlier periods

single period multiproduct inventory models with substitution we study a single period multiproduct inventory problem with substitution and proportional costs and revenues we consider n products and n demand classes with full downward substitution i e excess demand for class i can be satisfied using product j for i j we first discuss a two stage profit maximization formulation for the multiproduct substitution problem we show that a greedy allocation policy is optimal we use this to write the expected profits and its first partials explicitly this in turn enables us to prove additional properties of the profit function and several interesting properties of the optimal solution in a limited computational study using two products we illustrate the benefits of solving for the optimal quantities when substitution is considered at the ordering stage over similar computations without considering substitution while ordering specifically we show that the benefits are higher with high demand variability low substitution cost low profit margins or low price to cost ratio high salvage values and similarity of products in terms of prices and costs

inventory competition for newsvendors under the objective of profit satisficing abstract inventory competition for newsvendors nvs has been studied extensively under the objective of expected profit maximization which is based on risk neutrality in this paper we study this classic problem under the objective of profit satisficing which is based on downside risk aversion consistent with prior literature we consider two possible scenarios in the first scenario each nv s demand depends on the stocking levels of all nvs other than herself in this scenario we show that there is a unique nash equilibrium where all nvs optimally order as if they were independent in the second scenario each nv s demand depends on the stocking levels of all nvs including herself we prove the existence of nash equilibrium for both additive and multiplicative forms of demands as a special case we also study symmetrical nvs under the proportional allocation model we show that at equilibrium if the number of nvs exceeds a threshold the market becomes highly competitive

on the causal links between fdi and growth in developing countries we analyse the granger causal relationships between foreign direct investment fdi and gdp in a sample of 31 developing countries covering 31 years using estimators for heterogeneous panel data we find bi directional causality between the fdi to gdp ratio and the level of gdp fdi has a lasting impact on gdp while gdp has no longrun impact on the fdi to gdp ratio in that sense fdi causes growth furthermore in a model for gdp and fdi as a fraction of gross capital formation gcf we also find long run effects from fdi to gdp this finding may be interpreted as evidence in favour of the hypotheses that fdi has an impact on gdp via knowledge transfers and adoption of new technology

public versus private investment in human capital endogenous growth and income inequality in this paper we present an overlapping generations model with heterogeneous agents in which human capital investment through formal schooling is the engine of growth we use simple functional forms for preferences technologies and income distribution to highlight the distinction between economies with public education and those with private education we find that income inequality declines more quickly under public education on the other hand private education yields greater per capita incomes unless the initial income inequality is sufficiently high we also find that societies will choose public education if a majority of agents have incomes below average

impact of loss aversion on the newsvendor game with product substitution abstract this paper studies a newsvendor game in which two substitutable products are sold by two different retailers newsvendors with loss averse preferences each loss averse retailer facing stochastic customer demand and deterministic substitution rate will make an order quantity decision to maximize his expected utility since product substitution causes two retailers to make decisions in a competitive environment game theory is used to find the retailers optimal order quantities it is shown that under certain conditions there exists a unique nash equilibrium in the newsvendor game under a symmetry assumption each retailer s equilibrium order quantity is decreasing in the loss aversion coefficient and increasing in the substitution rate further if the effect of loss aversion on the order quantity is strong enough to dominate the effect of competition the total inventory level of a decentralized supply chain will be lower than that of a centralized supply chain numerical experiments are conducted to illustrate our results

the spatial interdependence of fdi in latin america summary using a sample of 17 latin american countries with observations during 1986 2006 two forms of spatial interdependence of foreign direct investment fdi are explored 1 surrounding market potential and 2 spatial autocorrelation we find that surrounding market potential has a positive significant effect on net fdi but there is no evidence that fdi is spatially autocorrelated other factors that show a significant positive effect on fdi include control of corruption and exports of raw materials when considering only fdi inflows from the us we find that fdi is spatially autocorrelated and that surrounding market potential is not significant

pricing and the news vendor problem a review with extensions in the newsvendor problem a decision maker facing random demand for a perishable product decides how much of it to stock for a single selling period this simple problem with its intuitively appealing solution is a crucial building block of stochastic inventory theory which comprises a vast literature focusing on operational efficiency typically in this literature market parameters such as demand and selling price are exogenous however incorporating these factors into the mode l can provide an excellent vehicle for examining how operational problems interact with marketing issues to influence decision making at the firm level in this paper we examine an extension of the newsvendor problem in which stocking quantity and selling price are set simultaneously we provide a comprehensive review that synthesizes existing results for the single period problem and develop additional results to enrich the existing knowledge base we also review and develop insight into a dynamic inventory extension of this problem and motivate the applicability of such models

confidence based optimisation for the newsvendor problem under binomial poisson and exponential demand abstract we introduce a novel strategy to address the issue of demand estimation in single item single period stochastic inventory optimisation problems our strategy analytically combines confidence interval analysis and inventory optimisation we assume that the decision maker is given a set of past demand samples and we employ confidence interval analysis in order to identify a range of candidate order quantities that with prescribed confidence probability includes the real optimal order quantity for the underlying stochastic demand process with unknown stationary parameter s in addition for each candidate order quantity that is identified our approach produces an upper and a lower bound for the associated cost we apply this approach to three demand distributions in the exponential family binomial poisson and exponential for two of these distributions we also discuss the extension to the case of unobserved lost sales numerical examples are presented in which we show how our approach complements existing frequentist e g based on maximum likelihood estimators or bayesian strategies

the competitive newsboy we consider a competitive version of the classical newsboy problem in which a firm must choose an inventory or production level for a perishable good with random demand and the optimal solution is a fractile of the demand distribution and investigate the impact of competition upon industry inventory a splitting rule specifies how initial industry demand is allocated among competing firms and how any excess demand is allocated among firms with remaining inventory we examine the relation between equilibrium inventory levels and the splitting rule and provide conditions under which there is a unique equilibrium our most general result is that if all excess demand is reallocated i e there is perfect substitutability then competition never leads to a decrease in industry inventory

on markov equilibria in dynamic inventory competition we provide a review of the types of equilibria typically found in operations management inventory papers and a discussion on when the commonly used stationary infinite horizon open loop equilibrium may be sufficient for study we focus particularly on order up to and basestock equilibria in the context of inventory duopolies we give conditions under which the stationary infinite horizon equilibrium is also a markov perfect closed loop equilibrium these conditions are then applied to three specific duopolies the first application is one with stockout based substitution where the firms face independent direct demand but some fraction of a firm s lost sales will switch to the other firm the second application is one where shelf space display stimulates primary demand and reduces demand for the other firm s product the final application is one where the state variables represent goodwill rather than inventory these specific problems have been previously studied in both the single period and or stationary infinite horizon open loop settings but not in markov perfect closed loop settings under the markov perfect setting a variety of interesting dynamics may occur including that there may be a so called commitment value to inventory

learning experimentation and the optimal output decisions of a competitive firm this paper considers the effect of learning from experience on the output decisions of a perfectly competitive firm faced with the demand uncertainty specifically a bayesian framework for expectations formation and demand forecasting by a perfectly competitive firm is presented focusing the analysis on the determination of optimal sequential output decisions it is shown that through output experimentation the experimenting firm will select a non myopic sequential policy and will tend to overproduce the exact magnitude of the overproduction and the economic value of experimentation are contingent upon model parameters and the length of the planning horizon

growth effects of flat rate taxes recent estimates of the potential growth effects of tax reform vary wildly ranging from zero to eight percentage points using an endogenous growth model we assess which model features and parameter values are important for determining the quantitative impact of tax reform we find that the critical parameters are factor shares depreciation rates the elasticity of intertemporal substitution and the elasticity of labor supply the elasticities of substitution in production on the other hand are relatively unimportant the quantitative estimates in several recent papers are compared with each other and with some of the evidence from u s experience we find that robert lucas s conclusion that tax reform would have little or no effect on the u s growth rate is theoretically robust and consistent with the evidence

optimal inventory decisions for a risk averse retailer when offering layaway abstract layaway allows economically disadvantaged budget constrained consumers to purchase expensive items through amortized payments and nominal program fees as opposed to using high interest financing options such as credit cards and payday loans we consider a risk averse retailer s ordering decisions when offering a layaway program we use the net loss and total loss functions found in the literature to determine a risk averse retailer s optimal order quantity under conditional value at risk cvar we next analyze the effects of the model parameters retailer s risk aversion the market default rate enrollment fee cancellation fee and so on on the optimal order quantity decisions we show that the optimal order quantity depends on different loss functions and different demand distribution functions further we show that as market default rate increases or the retailer becomes more risk averse then a rational retailer will not offer a layaway program

on sales effort and pricing decisions under alternative risk criteria abstract in the literature different risk criteria are proposed for risk averse decision making but it is often unclear which risk criteria should be used and what their differences may be this study investigates this problem when a risk averse make to order firm decides its pricing and sales effort two factors affecting demand we consider alternative risk criteria commonly used in the literature namely expected utility theory eut mean variance mv mean semideviation ms value at risk var conditional value at risk cvar and loss aversion la we find that all of these criteria lead to similar qualitative behaviors regarding how risk loss averse decisions deviate from risk neutral ones a particularly interesting result is that the form of demand randomness i e additive or multiplicative can completely reverse the effect of risk loss aversion in certain cases we also find that the risk aversion models i e eut mv ms var and cvar are essentially equivalent in inducing the same set of optimal solutions under adverse market states however loss aversion is a mild version of risk aversion in that the la model can only lead to a subset of the solutions generated by other models these results may not be valid for other applications such as the newsvendor pricing problem so we can conclude that the relationship between alternative risk criteria is case sensitive and should be evaluated more carefully

forecasting and inventory management of short life cycle products in this paper we provide an integrated framework for forecasting and inventory management of short life cycle products the literature on forecasting and inventory management does not adequately address issues relating to short life cycle products we first propose a growth model that can be used to obtain accurate monthly forecasts for the entire life cycle of the product the model avoids limiting data requirements of traditional methods instead it extracts relevant information from past product histories and utilizes the information on total life cycle sales and the peak sales timing using disguised demand data from a personal computer pc manufacturer we validate the model next we model the inventory management problem for the short life cycle environment the uncertainty in demand is modeled through the uncertainty in the realized values of the parameters of the forecasting model the high cost of terminal inventory shortages and rapidly changing procurement costs are all included in the model extensions to the basic model are also developed using optimal control theory we derive a solution that provides valuable information on procurement cutoff time and terminal service levels a detailed example explains the characteristics of the policy and its relevance in decision making many of the issues covered in the models were brought to our attention while implementing a forecasting model at a pc manufacturer the benchmark monthly forecasts and the associated inventory levels provide information that can be very helpful in planning and controlling marketing sales and production

newsvendor solutions via conditional value at risk minimization abstract in this paper we consider the minimization of the conditional value at risk cvar a most preferable risk measure in financial risk management in the context of the well known single period newsvendor problem which is originally formulated as the maximization of the expected profit or the minimization of the expected cost we show that downside risk measures including the cvar are tractable in the problem due to their convexity and consequently under mild assumptions on the probability distribution of products demand we provide analytical solutions or linear programming lp formulation of the minimization of the cvar measures defined with two different loss functions numerical examples are also exhibited clarifying the difference among the models analyzed in this paper and demonstrating the efficiency of the lp solutions

repeated newsvendor game with transshipments under dual allocations abstract we study a repeated newsvendor game with transshipments in every period n retailers face a stochastic demand for an identical product and independently place their inventory orders before demand realization after observing the actual demand each retailer decides how much of her leftover inventory or unsatisfied demand she wants to share with the other retailers residual inventories are then transshipped in order to meet residual demands and dual allocations are used to distribute residual profit unsold inventories are salvaged at the end of the period while in a single shot game retailers in an equilibrium withhold their residuals we show that it is a subgame perfect nash equilibrium for the retailers to share all of the residuals when the discount factor is large enough and the game is repeated infinitely many times we also study asymptotic behavior of the retailers order quantities and discount factors when n is large finally we provide conditions under which a system optimal solution can be achieved in a game with n retailers and develop a contract for achieving a system optimal outcome when these conditions are not satisfied

observation bias the impact of demand censoring on newsvendor level and adjustment behavior in an experimental newsvendor setting we investigate three phenomena level behavior the decision maker s average ordering tendency adjustment behavior the tendency to adjust period to period order quantities and observation bias the tendency to let the degree of demand feedback influence order quantities we find that in three of four conditions the portion of mismatch cost that results from adjustment behavior exceeds the portion of mismatch cost caused by level behavior observation bias is studied through censored demand feedback a situation that arguably represents most newsvendor settings when demands are uncensored subjects tend to order below the normative quantity when they face high margin and above the normative quantity when they face low margin but in neither case do they order beyond mean demand the pull to center effect censoring in general leads to lower quantities magnifying the below normative level behavior when they face high margin but partially counterbalancing the above normative level behavior when they face low margin violating the pull to center effect in both cases data as supplemental material are available at http dx doi org 10 1287 mnsc 2013 1825 this paper was accepted by christian terwiesch operations management

statistical learning of service dependent demand in a multiperiod newsvendor setting we study an inventory system wherein a customer may leave the seller s market after experiencing an inventory stockout traditionally researchers and practitioners assume a single penalty cost to model this customer behavior of stockout aversion recently a stream of researchers explicitly model this customer behavior and support the traditional penalty cost approach we enrich this literature by studying the statistical learning of service dependent demand we build and solve four models a baseline model where the seller can observe the demand distribution a second model where the seller cannot observe the demand distribution but statistically learns the demand distribution a third model where the seller can learn or pay to obtain the exact information of the demand distribution and a fourth model where demand in excess of available inventory is lost and unobserved interestingly we find that all four models support the traditional penalty cost approach this result confirms the use of a state independent stockout penalty cost in the presence of demand learning more strikingly the first three models imply the same stockout penalty cost which is larger than the stockout penalty cost implied by the last model

management of a periodic review inventory system using bayesian model averaging when new marketing efforts are made abstract many companies invest in various marketing efforts such as price promotion and advertising in order to attract new customers and build customer loyalty this paper examines the problem of setting efficient inventory levels when new marketing efforts are made and product demand is autocorrelated we assume that the inventory manager operates with a base stock policy based on a critical fractile if marketing has a temporary effect the underlying demand tends to revert to a long term equilibrium trend and the inventory manager needs to use a stationary demand model e g autoregressive model to determine the required inventory level in contrast if the effect is permanent demand shocks contain an element that represents a permanent departure from previous levels and a non stationary demand model e g random walk needs to be used instead we show that the required inventory behaves much differently for the case of using a stationary demand model as opposed to a non stationary model but it is difficult in practice to identify a correct demand model in the absence of a long sampling span in this paper we propose an inventory model that explicitly acknowledges uncertainty over stationary and non stationary demand models in response to new marketing efforts the proposed model averages the inventory policies of the two demand models weighted by each model s posterior probability this is an extension of bayesian model averaging simulation results demonstrate that the bayesian model averaging inventory model improves the inventory system

political equilibrium income distribution and growth this paper analyzes the impact of income distribution on growth when investment in human capital is the source of growth and individuals vote over the degree of redistribution in the economy the model has three main features first very different patterns of income distribution are conducive to high growth at different levels of per capita income second growth is associated with an externality whereby investment in human capital by one group increases the productivity of other groups thus potentially enabling them to invest in human capital third the initial pattern of income distribution and the resulting political equilibrium are crucial in determining whether the transmission of this externality is promoted in which case growth is enhanced or prevented in which case growth is stopped using a non overlapping generations model with voting i derive several empirical implications in particular the model implies an inverted u relation between levels of inequality and levels of income in cross sections but not necessarily in time series a result that seems consistent with a number of empirical studies

the effect of risk aversion on distribution channel contracts implications for return policies the return policy is often used in retailing supply chains however it is controversial in judging their practical value in the literature various theoretical and modeling explanations of why the return policy is used in practice and is preferred by the retailer and manufacturer have been put forth the literature focusing on the channel agents risk attitudes to explain the adoption seems to have led to the conclusion that the two agents preferences for adopting the full return policy over the no return policy are always in conflict and thus the risk attitudes do not explain the adoption of return policy in practice in this paper we reinvestigate this issue we first identify two distinct phases of risk averseness high or low for each of the two agents we show distinct behaviors of how the wholesale price and order size are set in each phase then we show that the full return policy can be preferred over the no return policy by both the agents if both of them are high risk averse this implies that the agents risk attitudes can explain the adoption of return policy this is a new theoretical result which is contrary to the existing understanding in the literature our result highlights the importance and intricacy of channel policies especially when the risk attitudes of agents are considered

bayes solution to dynamic inventory models under unknown demand distribution this paper considers the periodic review inventory problem for which one or more parameters of the demand distribution are unknown with a known prior distribution chosen from the natural conjugate

the risk averse newsvendor problem with random capacity abstract we study the effect of capacity uncertainty on the inventory decisions of a risk averse newsvendor we consider two well known risk criteria namely value at risk var included as a constraint and conditional value at risk cvar for the risk neutral newsvendor we find that the optimal order quantity is not affected by the capacity uncertainty however this result does not hold for the risk averse newsvendor problem specifically we find that capacity uncertainty decreases the order quantity under the cvar criterion under the var constraint capacity uncertainty leads to an order decrease for low confidence levels but to an order increase for high confidence levels this implies that the risk criterion should be carefully selected as it has an important effect on inventory decisions this is shown for the newsvendor problem but is also likely to hold for other inventory control problems that future research can address

policy reforms and growth in computable olg economies we build a computable general equilibrium model with overlapping generations of agents and an endogenous growth specification a la lucas two main issues are addressed i to what extent does endogenous growth play a significant role in the face of policy reforms and ii are the simulation results robust to various calibrations of the production function of human capital in this purpose we simulate four large policy changes and compare the predictions with endogenous growth under various parameter sets to those with exogenous growth if endogenous growth is important when examining the effects of education reform it does not really matter with pension reforms and plays a minor role in the debt repayment scenario these results are very robust to calibration

technical note a risk averse newsvendor model under the cvar criterion the classical risk neutral newsvendor problem is to decide the order quantity that maximizes the one period expected profit in this note we consider a risk averse newsvendor with stochastic price dependent demand we adopt conditional value at risk cvar a risk measure commonly used in finance as the decision criterion the aim of our study is to investigate the optimal pricing and ordering decisions in such a setting for both additive and multiplicative demand models we provide sufficient conditions for the uniqueness and existence of the optimal policy comparative statics show the monotonicity properties and other characteristics of the optimal pricing and ordering decisions we also compare our results with those of the newsvendor with a risk neutral attitude and a general utility function

technical note robust newsvendor competition under asymmetric information we generalize analysis of competition among newsvendors to a setting in which competitors possess asymmetric information about future demand realizations and this information is limited to knowledge of the support of demand distribution in such a setting traditional expectation based optimization criteria are not adequate and therefore we focus on the alternative criterion used in the robust optimization literature the absolute regret minimization we show existence and derive closed form expressions for the robust optimization nash equilibrium solution for a game with an arbitrary number of players this solution allows us to gain insight into the nature of robust asymmetric newsvendor competition we show that the competitive solution in the presence of information asymmetry is an intuitive extension of the robust solution for the monopolistic newsvendor problem which allows us to distill the impact of both competition and information asymmetry in addition we show that contrary to the intuition a competing newsvendor does not necessarily benefit from having better information about its own demand distribution than its competitor has

large newsvendor games we consider a game called newsvendor game where several retailers who face a random demand can pool their resources and build a centralized inventory that stocks a single item on their behalf profits have to be allocated in a way that is advantageous to all the retailers a game in characteristic form is obtained by assigning to each coalition its optimal expected profit we consider newsvendor games with possibly an infinite number of newsvendors we prove in great generality results about balancedness of the game and we show that in a game with a continuum of players under a nonatomic condition on the demand the core is a singleton for a particular class of demands we show how the core shrinks to a singleton when the number of players increases

the censored newsvendor and the optimal acquisition of information this paper investigates the effect of demand censoring on the optimal policy in newsvendor inventory models with general parametric demand distributions and unknown parameter values we show that the newsvendor problem withobservable lost sales reduces to a sequence of single period problems while the newsvendor problem withunobservable lost sales requires a dynamic analysis using a bayesian markov decision process approach we show that the optimalin ventory level in the presence of censored demand ishigher than would be determined using a bayesian myopic policy we explore the economic rationality for this observation and illustrate it with numerical examples

a three person game theory model arising in stochastic inventory control theory abstract in this paper we build a game theory model for a single period inventory problem where each of three retailers tries to determine his optimal order quantity their products are substitutable and have random demands therefore multiple direction demand transfers occur when one or more retailers are sold out it is shown that by using nash equilibrium optimal decision exists for each retailer when they work independently the optimal order quantity in this case is larger than that under the newsboy problem model this is because substitution can be a source of sales and hence a justification for inventory in situations where some retailer may act irrationally to inflict a damage on the others the defensive strategy for the latter is to totally ignore the existence of the irrational player we also study the cooperation of retailers by switching excess inventory to those who have excess demand both when side payments are and are not allowed if side payments are not allowed secure nash strategies always exist for each retailer and cooperation will reduce inventory the latter is especially true when the depreciation of value of the item and or inventory carrying cost are large we give conditions for cooperation in both cases and show that although all player cooperation is often feasible it may not always be obtainable even if side payments are allowed

on the censored newsvendor and the optimal acquisition of information we have read ding et al 2002 referred to hereafter as dpb with great interest dpb con ains two main results theorem a claims that the myopic inventory level is a lower bound on the optimal inventory level and theo rem b attempts to quantify the marginal expected value of information however there are mistakes in the proof of theorem a the result itself is correct a proof is given in lu et al 2004 furthermore one of the erroneous expressions in dpb s proof leads to an error in the marginal expected value of information in theorem b we now provide more details the equation numbers unless specified otherwise refer to the appendix of dpb available at the operations research home page http or pubs informs org the main error in the proof of theorem a is the follow ing if a x and b x are two functions of the variable jc then the derivative of a x b x with respect to x is d r x m da x db x a x b x b x a x dpb s mistake in essence is to omit the second term more specifically a key step in proving theorem a is inequality 35

the loss averse newsvendor model with backordering abstract in this paper we study the optimal order quantity in the loss averse newsvendor model with backordering we first obtain the optimal order quantity to maximize the expected utility to hedge against the risk arising from the uncertainty of market demand we introduce the conditional value at risk cvar measure and derive the optimal order quantity to maximize the cvar objective about utility it is found that the optimal order quantity with the cvar objective is decreasing in the confidence level and thus is smaller than the optimal order quantity to maximize the expected utility it is proved that under the optimal order quantity with the cvar objective the loss averse newsvendor s expected utility is decreasing in the confidence level it further confirms that high risk implies high return and low risk comes with low return

risk aversion in inventory management traditional inventory models focus on risk neutral decision makers i e characterizing replenishment strategies that maximize expected total profit or equivalently minimize expected total cost over a planning horizon in this paper we propose a framework for incorporating risk aversion in multiperiod inventory models as well as multiperiod models that coordinate inventory and pricing strategies we show that the structure of the optimal policy for a decision maker with exponential utility functions is almost identical to the structure of the optimal risk neutral inventory and pricing policies these structural results are extended to models in which the decision maker has access to a partially complete financial market and can hedge its operational risk through trading financial securities computational results demonstrate that the optimal policy is relatively insensitive to small changes in the decision maker s level of risk aversion

the loss averse newsvendor game abstract this paper extends the standard newsvendor problem based upon risk neutrality to a game setting where multiple newsvendors with loss aversion preferences are competing for inventory from a risk neutral supplier we show that if the supplier allocates the total demand among the newsvendors proportional to their order quantities then there exists a unique nash equilibrium order quantity in this newsvendor game we also find that while the demand stealing effect increases the total order quantity of the newsvendors the loss aversion effect decreases the newsvendors total order quantity and if strong enough may lead to a lower total inventory level of the decentralized supply chain than that of an integrated supply chain

an efficient algorithm for capacitated assortment planning with stochastic demand and substitution abstract the ever increasing product variety in grocery retailing is in conflict with the limited shelf space managing the assortment and regular order quantity for perishable and non perishable products is therefore a core task for retailers retailers want to maximize profit by considering potential revenues purchase costs diminishing profits for products and opportunity costs for unfulfilled demand when determining assortment sizes and order volume to meet stochastic consumer demand we considered a newsvendor based decision model that jointly optimizes assortment size and the associated order volumes for listed items the model considers out of assortment ooa and out of stock oos substitution effects the model is a structural equivalent to the model described in kok and fisher 2007 and solved there via a heuristic procedure we develop an optimal solution procedure and a time efficient heuristic that solves the model the heuristic suggested is applicable for practically relevant large scale problem instances numerical tests reveal that the heuristic procedure produces close to optimal solutions and outperforms the kok and fisher heuristic with regard to both computational time and solution quality a simulation study with discrete demand justifies our approach with using continuous demand distributions the numerical analyses show that considering substitution effects in a decision based model has a significant impact on the total profit and solution structure further managerial insights are presented with regard to assortment heterogeneity when shelf size substitution and demand variability are varied

scarf s state reduction method flexibility and a dependent demand inventory model we consider a finite horizon inventory model with linear holding shortage and ordering costs the demand random variables are dependent and average demand is described by an exponential smoothing formula this model can be formulated as a two state variable inventory level weighted past demands dynamic program using a procedure first developed by scarf for a bayesian inventory model we are able to reformulate the model as a one state variable dynamic program resulting in a considerable computational saving over the two state variable formulation we also show that this dependent demand model orders less than or equal the amount ordered by a comparable independent demand model we establish this result under the assumption that demand represents failures that are repaired by the beginning of the next period

stocking retail assortments under dynamic consumer substitution we analyze a single period stochastic inventory model newsboy like model in which a sequence of heterogeneous customers dynamically substitute among product variants within a retail assortment when inventory is depleted the customer choice decisions are based on a natural and classical utility maximization criterion faced with such substitution behavior the retailer must choose initial inventory levels for the assortment to maximize expected profits using a sample path analysis we analyze structural properties of the expected profit function we show that under very general assumptions on the demand process total sales of each product are concave in their own inventory levels and possess the so calleddecreasing differences property meaning that the marginal value of an additional unit of the given product is decreasing in the inventory levels of all other products for a continuous relaxation of the problem we then show via counterexamples that the expected profit function is in general not even quasiconcave thus global optimization may be difficult however we propose and analyze a stochastic gradient algorithm for the problem and prove that it converges to a stationary point of the expected profit function under mild conditions finally we apply the algorithm to a set of numerical examples and compare the resulting inventory decisions to those of some simpler naive heuristics the examples show that substitution effects can have a significant impact on an assortment s gross profits the examples also illustrate some systematic distortions in inventory decisions if substitution effects are ignored in particular under substitution one should stock relatively more of popular variants and relatively less of unpopular variants than a traditional newsboy analysis indicates

experimentation and optimal output decisions the cooperative versus the entrepreneurial firm this paper studies and contrasts the experimental inclinations of entrepreneurial and cooperative firms supplying a perishable good under uncertain demand when larger stocks might yield additional information about the demand generating process while these firms might react differently and in the case of the cooperative not unambiguously to environmental change neither variant will find the higher output possibly more informative option especially attractive

optimal accumulation in an endogenous growth setting with human capital this paper considers a three overlapping generations model of endogenous growth wherein human capital is the engine of growth it first contrasts the laissez faire and the optimal solutions three possible accumulation regimes are distinguished then it discusses a standard set of tax transfer instruments that allow for decentralization of the social optimum within the limits of our model the rationale for the standard pattern of intergenerational transfers the working aged financing the education of the young and the pension of the old is seriously questioned on pure efficiency grounds the case for generous public pensions is rather weak

capital controls and foreign direct investment abstract this paper examines the effect of three types of capital control policies on fdi a the existence of multiple exchange rates b restrictions on capital account and c restrictions on the repatriation of export proceeds we find that the impact of capital controls on fdi varies by region and has changed over time in the 1970s and 1980s none of the policies had a significant impact on fdi in the 1990s all three were significant furthermore capital controls have no effect on fdi to sub saharan africa and the middle east but affects fdi to east asia and latin america adversely

reversal of fortunes democratic institutions and foreign direct investment inflows to developing countries does increased democracy promote or jeopardize foreign direct investment fdi inflows to less developed countries we argue that democratic institutions have conflicting effects on fdi inflows on the one hand democratic institutions hinder fdi inflows by limiting the oligopolistic or monopolistic behaviors of multinational enterprises facilitating indigenous businesses pursuit of protection from foreign capital and constraining host governments ability to offer generous financial and fiscal incentives to foreign investors on the other hand democratic institutions promote fdi inflows because they tend to ensure more credible property rights protection reducing risks and transaction costs for foreign investors hence the net effect of democracy on fdi inflows is contingent on the relative strength of these two competing forces our argument reconciles conflicting theoretical expectations in the existing literature empirical analyses of fifty three developing countries from 1982 to 1995 substantiate our claims we find that both property rights protection and democracy related property rights protection encourage fdi inflows after controlling for their positive effect through property rights protection democratic institutions reduce fdi inflows these results are robust against alternative model specifications statistical estimators and variable measurements

robust inventory management with stock out substitution abstract stock out substitution is a well documented phenomenon that occurs when customers seek a different product as a substitute for their first choice item if it runs out of stock we consider a single period inventory model with limited information regarding the external demands i e mean variance and covariance and focus on identifying the inventory levels that maximize the worst case expected profit we formulate a two stage optimization model the second stage characterizes the worst case joint demand distribution by treating the inventory levels as input parameters and the first stage identifies the optimal inventory levels based on the results of the second stage the closed form solution of the second stage problem is analytically intractable except for two special cases we develop closed form solutions for these two special cases and use them to develop a heuristic for the general case an extensive numerical study over a wide range of parameters indicates that the performance of the heuristic that we develop is nearly optimal we also provide insights into the effects of demand correlation substitution rate and other parameters on the optimal worst case expected profit of the system

public information and performance the role of spatial dependence in the worldwide governance indicators among african countries summary the worldwide governance indicators wgi provide transparent and comparable country statistics for different dimensions of governance linked to under development yet does the public availability of governance data actually enhance performance if investors donor agencies and citizens are made aware of relative governance performance competition for inward investment such as fdi and oda and domestic legitimacy become plausible mechanisms for diffusion of good governance we test whether such mechanisms operate using the wgi for africa and find evidence for spatial diffusion of democracy rule of law and corruption control there is no evidence for diffusion of regulatory quality and government effectiveness

inventory decisions for substitutable products with stock dependent demand abstract we study a retailer s inventory policy for two products the products are substitutable and have inventory dependent demand so a higher inventory level of a product increases its sales we model the joint effect of demand stimulation and product substitution on inventory decisions by considering a single period stochastic demand setting we provide the first order optimality conditions for the profit maximizing order quantities and interpret them using marginal analysis we also consider two heuristic solutions that separately account for either demand stimulation or product substitution our numerical analysis reveals that the optimal policy by appropriately using sales information that quantifies substitution and demand stimulation can produce significantly higher profits the profit benefits are lessened under certain circumstances such as when the two products have similar critical fractile values suggesting that in such instances the heuristics may be used effectively

newsvendor problem with clearance pricing abstract the newsvendor nv problem assumes that the salvage clearance price at which the leftover inventory is disposed of is a given parameter of the problem in this paper we relax this assumption and consider the nv problem with the salvage clearance price as a decision variable we have drawn from the literatures on the nv problem and clearance markdown dynamic pricing to develop three stochastic models in this paper in the first model we assume that while the seasonal demand is exogenous and stochastic the end of season demand is endogenous and deterministic the second model extends the first model by assuming that the end of season demand is endogenous and stochastic finally the third model considers that both the seasonal and end of season demands are endogenous and stochastic we have provided solution procedures for solving the stochastic optimization problems we have also performed sensitivity analyses to assess the sensitivity of the optimal expected profit and order quantity to different problem parameters specifically we have found that the optimal expected profit is most sensitive to the variable cost per unit mean seasonal demand and market potential of end of season demand our models will be useful for retailers of products with a short selling season and a short end of season period for clearance sale of leftover inventory such that there is a single replenishment opportunity at the beginning of the season and a single opportunity for setting the salvage price for clearance sale based on the leftover inventory and end of season demand pattern the paper is concluded with possible directions for future research

optimal inventory decisions in a multiperiod newsvendor problem with partially observed markovian supply capacities abstract this paper considers a multi period news vendor problem with partially observed supply capacity information which evolves as a markovian process the supply capacity is fully observed by the buyer when the capacity is smaller than the buyer s ordering quantity otherwise the buyer knows that the current period supply capacity is greater than its ordering quantity based on these two observations the buyer updates the future supply capacity forecasting accordingly with a dynamic programming formulation we prove the existence of an optimal ordering policy we also prove that the optimal order quantity is greater than the myopic order quantity

demand estimation and ordering under censoring stock out timing is almost all you need retailers facing uncertain demand can use observed sales to update demand estimates however such learning is limited by the amount of inventory carried when demand exceeds inventory i e when a stock out event occurs a retailer in general cannot observe actual demand we propose using observations on the timing of sales occurrences in a bayesian fashion to learn about demand and we analyze this learning method for a multiperiod newsvendor setting we find that as previously shown with the use of only stock out event observations the optimal order quantity with timing observations is greater than the optimal order quantity with full demand observations we prove this result using a novel methodology from the statistics literature on comparison of experiments although the optimal over ordering with timing observations tends to be less than that with only stock out event observations in most cases we do observe cases where the opposite is true such cases correspond to high demand uncertainty and low margins where marginal learning from timing observations is significantly higher than using only a stock out event in an extensive numerical study we find that on average and with respect to uncensored demand observations the use of timing observations eliminates 76 1 of the loss in expected profit from using only stock out event observations we show that for poisson and normal demand with unknown mean the proposed learning method is tractable as well as intuitively appealing the information contained in the timing of sales occurrences is fully captured by a single number the timing of stock out we also investigate checkpoint models in which the newsvendor can make observations only at predetermined times in a period and illustrate its convergence to the models with timing and stock out event observations

education subsidies social security and growth the implications of a demographic shock we develop a three period overlapping generations model in which individual decisions about education are the engine of growth in this setting we investigate the normative role of education subsidies and old age pensions calibrating this model on empirical data it is shown that the case for positive pension benefits is rather weak on the optimal path an important part of education subsidies should be financed by lump sum taxes on retirees we also examine how these transfers should be adjusted in the presence of a baby boom baby bust demographic shock it turns out that an appropriate policy could be to increase education when the baby boom generation is at work labor productivity will then be higher when aging peaks so that the pension bill can be financed without reducing welfare for the baby bust generations

coping with risk management and fill rate in the loss averse newsvendor model abstract in this paper we introduce the cvar conditional value at risk measure to hedge against the risks for the loss averse newsvendor we derive the optimal order quantities for the loss averse newsvendor to maximize the cvar objective of utility with and without the shortage cost respectively it is shown that when shortage cost is not considered an increase in the degree of loss aversion leads to a decrease in the fill rate therefore the newsvendor should strike a balance between the two conflicting targets in selecting the optimal order quantity when the shortage cost is taken into account and sufficiently large it is proved that an increase in the degree of loss aversion leads to an increase in the fill rate to manage both of the two targets the newsvendor should order more items in this case our sensitivity analysis further verifies that high risk implies high return and low risk comes with low return based on the analysis some management insights for the risk management of the loss averse newsvendor are presented

optimal decisions for the loss averse newsvendor problem under cvar abstract most of the existing literature about the newsvendor problem mainly focused on choosing an optimal order quantity to maximize the expected profit of a risk neutral newsvendor however some studies pointed out that in practice managers decisions as to order quantities always deviate from the profit maximization order quantity which is referred to as decision bias in the newsvendor problem then many studies introduced other preferences rather than risk neutrality of the newsvendor to explain such a decision bias this paper thus introduces loss aversion to the research of the newsvendor decision bias we propose a new definition to the loss averse newsvendor problem legacy loss which is defined either as the loss for excess order or the shortage penalty for lost sales when sales time is due the optimal decisions of a loss averse newsvendor are obtained through the following three ways i minimizing the expected legacy loss ii minimizing cvar of legacy loss by combining the cvar measure in risk management iii minimizing the combination of expected legacy loss and cvar of legacy loss and are compared with other existing results besides we present some properties of the optimal decisions as well as relations among them some numerical examples are given to illustrate the obtained results

adaptive data driven inventory control with censored demand based on kaplan meier estimator using the well known product limit form of the kaplan meier estimator from statistics we propose a new class of nonparametric adaptive data driven policies for stochastic inventory control problems we focus on the distribution free newsvendor model with censored demands the assumption is that the demand distribution is not known and there are only sales data available we study the theoretical performance of the new policies and show that for discrete demand distributions they converge almost surely to the set of optimal solutions computational experiments suggest that the new policies converge for general demand distributions not necessarily discrete and demonstrate that they are significantly more robust than previously known policies as a by product of the theoretical analysis we obtain new results on the asymptotic consistency of the kaplan meier estimator for discrete random variables that extend existing work in statistics to the best of our knowledge this is the first application of the kaplan meier estimator within an adaptive optimization algorithm in particular the first application to stochastic inventory control models we believe that this work will lead to additional applications in other domains

learning consumer tastes through dynamic assortments how should a firm modify its product assortment over time when learning about consumer tastes in this paper we study dynamic assortment decisions in a horizontally differentiated product category for which consumers diverse tastes can be represented as locations on a hotelling line we presume that the firm knows all possible consumer locations comprising a finite set but does not know their probability distribution we model this problem as a discrete time dynamic program each period the firm chooses an assortment and sets prices to maximize the total expected profit over a finite horizon given its subjective beliefs over consumer tastes the consumers then choose a product from the assortment that maximizes their own utility the firm observes sales which provide censored information on consumer tastes and it updates beliefs in a bayesian fashion there is a recurring trade off between the immediate profits from sales in the current period exploitation and the informational gains to be exploited in all future periods exploration we show that one can partially order assortments based on their information content and that in any given period the optimal assortment cannot be less informative than the myopically optimal assortment this result is akin to the well known stock more result in censored newsvendor problems with the newsvendor learning about demand through sales when lost sales are not observable we demonstrate that it can be optimal for the firm to alternate between exploration and exploitation and even offer assortments that lead to losses in the current period in order to gain information on consumer tastes we also develop a bayesian conjugate model that reduces the state space of the dynamic program and study value of learning using this conjugate model

in search of spatial interdependence of us outbound fdi in the mena region the paper investigates the spatial interdependence of us mne investments in the mena region given the variations in resource endowments governance structures and degree of infrastructure availability in mena countries one would expect these variables to affect an mne s choice of fdi location we do find that domestic non spatial factors such as own country inflation and governance measured by bureaucratic quality as well as infrastructure affect a host country s inward fdi we also found that only one measure of natural resource endowment that is oil and gas exports were instrumental in attracting fdi this non spatial result is generally robust and invariant to the two methodologies employed in this study that is the spatially autoregressive sar model and the spatial durbin model sdm we found that neighbouring countries infrastructure availability measured either by electricity used or energy used affected fdi inflows in a host country however this spatial impact was found only in the sdm model the spatial effects of neighbouring countries economic and political conditions and resource endowments were however not observed on a host country s inward fdi the insignificance of both the surrounding market potential and the spatially weighted fdi suggests a purely horizontal motive of mne investments in the mena region

inventory competition under dynamic consumer choice we analyze a model of inventory competition among n firms that provide competing substitutable goods each firm chooses initial inventory levels for their good in a single period newsboy like inventory model customers choose dynamically based on current availability so the inventory levels at one firm affect the demand of all competingfirms this creates a strategic interaction amongthe firms inventory decisions our work extends earlier work on variations of this problem by karjalainen 1992 lippman and mccardle 1997 and parlar 1988 specifically we model demand in a more realistic way as a stochastic sequence of heterogeneous consumers who choose dynamically from amongthe available goods or choose not to purchase based on a utility maximization criterion we also use a sample path analysis so minimal assumptions are imposed on this demand process we characterize the nash equilibrium of the resulting stocking game and prove it is unique in the symmetric case we show there is a bias toward overstocking caused by competition specifically reducing the quantity stocked at any equilibrium of the game increases total system profits and at any joint optimal set of stocking levels each firm has an individual incentive to increase its own stock for the symmetric case we show that as the number of competing firms increases the overstockingbecomes so severe that total system and individual firm profits approach zero finally we propose a stochastic gradient algorithm for computing equilibria and provide several numerical examples

a risk averse competitive newsvendor problem under the cvar criterion abstract we study a risk averse newsvendor problem with quantity competition and price competition under the conditional value at risk cvar criterion we characterize the optimal quantity and pricing decisions under both quantity and price competition for quantity competition we consider two demand splitting rules namely proportional demand allocation and demand reallocation although competition always leads to overstocking interestingly it does not necessarily lead to a profit loss in certain competitive environments such as demand reallocation by avoiding reducing overstocking that results from competition under the risk neutral criterion for price competition we consider both additive and multiplicative demand we find that the order quantity sale price and the expected profit decrease in the degree of risk aversion further both high price sensitivity and competition intensity force decision makers to lower their prices however high price sensitivity always reduces the order quantity while competition can have the opposite effect

stalking information bayesian inventory management with unobserved lost sales retailers are frequently uncertain about the underlying demand distribution of a new product when taking the empirical bayesian approach of scarf 1959 they simultaneously stock the product over time and learn about the distribution assuming that unmet demand is lost and unobserved this learning must be based on observing sales rather than demand which differs from sales in the event of a stockout using the framework and results of braden and freimer 1991 the cumulative learning about the underlying demand distribution is captured by two parameters a scale parameter that reflects the predicted size of the underlying market and a shape parameter that indicates both the size of the market and the precision with which the underlying distribution is known an important simplification result of scarf 1960 and azoury 1985 which allows the scale parameter to be removed from the optimization is shown to extend to this setting we present examples that reveal two interesting phenomena 1 a retailer may hope that compared to stocking out realized demand will be strictly less than the stock level even though stocking out would signal a stochastically larger demand distribution and 2 it can be optimal to drop a product after a period of successful sales we also present specific conditions under which the following results hold 1 investment in excess stocks to enhance learning will occur in every dynamic problem and 2 a product is never dropped after a period of poor sales the model is extended to multiple independent markets whose distributions depend proportionately on a single unknown parameter we argue that smaller markets should be given better service as an effective means of acquiring information

newsvendor competition under asymmetric cost information abstract we study the newsboy duopoly problem under asymmetric cost information we extend the lippman and mccardle 1997 of competitive newsboy to the case where the two firms are privately informed about their unit costs the market demand is initially split between two firms and the excess demand for each firm is reallocated to the rival firm we show the existence and uniqueness of a pure strategy equilibrium and characterize its structure the equilibrium conditions have an interesting recursive structure that enables an easy computation of the equilibrium order quantities presence of strategic interactions creates incentives to increase order quantities for all firm types except the type that has the highest possible unit cost consequently competition leads to higher total inventory in the industry however contrary to intuition this is only true when the firms are non identical a firm s equilibrium order quantity increases with a stochastic increase in the total industry demand or with an increase in his initial allocation of the total industry demand we demonstrate our model and results in an application in a dual sourcing procurement setting using data that obtained from a large manufacturing company finally we provide a full characterization of the equilibrium of the game for the special case of uniform demand and linear market shares

technical note a multiperiod model of inventory competition this paper explores when it is important for firms to consider stockout based substitution and competitor s inventory levels in making inventory decisions in the context of a duopoly model to address this question we consider a model where two newsvendors sell substitutable products in a market with aggregate market demand d the two firms get a proportion p and 1 p of this demand where p is random we characterize the equilibrium inventory levels of the two firms in a single period model and show the striking property that under certain reasonable conditions on the cost parameters the two firms ignore their competitor s inventory levels and potential substitution demand i e their inventory decisions are decoupled furthermore we show under slightly more restrictive conditions on the cost parameters that the single period results can be extended to the case where d is random finally we extend the decoupling property to a multiperiod periodic review scenario and show that the resulting nash equilibrium can be characterized simply as the solution to a single product dynamic newsvendor problem that ignores substitution demand

the impact of product substitution on retail merchandising abstract we analyze the impact of product substitution on two key aspects of retail merchandising order quantities and expected profits to perform this analysis we extend the basic news vendor model to include the possibility that a product with surplus inventory can be used as a substitute for out of stock products this extension requires a definition and an approximation for the resulting effective demand under substitution a service rate heuristic is developed to solve the extended problem the performance of this heuristic is evaluated using an upper bound generated by solving the associated lagrangian dual problem our analysis suggests that this heuristic provides a tractable and accurate method to determine order quantities and expected profits under substitution we apply this heuristic to examine how the level of demand uncertainty and correlation and the degree of substitution between products affect order quantities and expected profits under substitutable demand in addition we use the heuristic to better understand the mechanism by which substitution improves expected profits

a note on probability distributions with increasing generalized failure rates distributions with an increasing generalized failure rate igfr have useful applications in pricing and supply chain contracting problems we provide alternative characterizations of the igfr property that lead to simplify verifying whether the igfr condition holds we also relate the limit of the generalized failure rate and the moments of a distribution

fdi in space spatial autoregressive relationships in foreign direct investment abstract there are a number of theoretical reasons why foreign direct investment fdi into a host country may depend on the fdi in proximate countries such spatial interdependence has been largely ignored by the empirical fdi literature with only a couple recent papers accounting for such issues in their estimation this paper conducts a general examination of spatial interactions in empirical fdi models using data on us outbound fdi activity we find that estimated relationships of traditional determinants of fdi are surprisingly robust to inclusion of terms to capture spatial interdependence even though such interdependence is estimated to be significant however we find that both the traditional determinants of fdi and the estimated spatial interdependence are quite sensitive to the sample of countries one examines

a risk tolerance analysis for a joint price differentiation and inventory decisions problem with demand leakage effect abstract price differentiation is a commonly used practice in revenue management rm to improve a firm s profitability however most studies in the literature have considered a risk neutral firm to demonstrate the benefits of price differentiation the main contribution of this paper is in considering several important objectives while determining the optimal product prices and order production quantities for a risk adjusted firm with demand leakage effects in the presence of a price dependent stochastic demand the objectives considered include the maximization of a firm s expected profit and maximizing the probability of exceeding the risk adjusted expected revenue closed form expressions for optimal product prices and production quantities are derived for several of these objectives a numerical study is also presented to calibrate the impact of a firm s risk tolerance and other factors such as demand leakage market demand variability on the firm s profitability and its optimal decision

the newsvendor problem review and directions for future research in this paper we review the contributions to date for analyzing the newsvendor problem our focus is on examining the specific extensions for analyzing this problem in the context of modeling customer demand supplier costs and the buyer risk profile more specifically we analyze the impact of market price marketing effort and stocking quantity on customer demand how supplier prices can serve as a coordination mechanism in a supply chain setting integrating alternative supplier pricing policies within the newsvendor framework and how the buyer s risk profile moderates the newsvendor order quantity decision for each of these areas we summarize the current literature and develop extensions finally we also propose directions for future research

democracy foreign direct investment and natural resources abstract empirical studies that examine the impact of democracy on foreign direct investment fdi assume that the relationship between democracy and fdi is the same for resource exporting and non resource exporting countries this paper examines whether natural resources in host countries alter this relationship we estimate a linear dynamic panel data model using data from 112 developing countries over the period 1982 2007 we find that democracy promotes fdi if and only if the value of the share of minerals and oil in total exports is less than some critical value we identify 90 countries where an expansion of democracy may enhance fdi and 22 countries where an increase in democratization may reduce fdi we also find that the effect of democracy on fdi depends on the size and not the type of natural resources

a risk averse newsvendor model under marketing dependency and price dependency abstract in this paper we analyze a single period inventory model where a risk averse newsvendor makes a joint decision on ordering pricing and marketing under the cvar risk measure criterion the newsvendor can exert marketing effort to enhance market demand we assume that the newsvendor s marketing effort affects the scale of the demand distribution and hence to model the marketing dependent demand as a multiplicative form we characterize sufficient conditions that guarantee existence and uniqueness of the optimal solutions under some mild assumptions on demand distribution expected demand function and marketing effort cost which are widely used in the related literature we show that the optimal order quantity increases in the newsvendor s marketing effort but the optimal price remains unchanged whether the demand is marketing dependent or not additionally we explore impact of exogenous parameters such as unit order cost salvage value and the newsvendor s risk aversion coefficient on the optimal decision variables and find that the optimal marketing effort always keeps the same changing direction with the optimal marketing independent order quantity as the exogenous parameters change this suggests that impact of the parameters on the optimal order quantity gets strengthened in the case of marketing dependent demand

a multi product risk averse newsvendor with exponential utility function abstract we consider a multi product newsvendor using an exponential utility function we first establish a few basic properties for the newsvendor regarding the convexity of the model and monotonicity of the impact of risk aversion on the solution when the product demands are independent and the ratio of the degree of risk aversion to the number of products is sufficiently small we obtain closed form approximations of the optimal order quantities the approximations are as easy to compute as the risk neutral solution we prove that when this ratio approaches zero the risk averse solution converges to the corresponding risk neutral solution when the product demands are positively negatively correlated we show that risk aversion leads to lower higher optimal order quantities than the solution with independent demands using a numerical study we examine convergence rates of the approximations and thoroughly study the interplay of demand correlation and risk aversion the numerical study confirms our analytical results and further shows that an increased risk aversion does not always lead to lower order quantities when demands are strongly negatively correlated

decision bias in the newsvendor problem with a known demand distribution experimental evidence in the newsvendor problem a decision maker orders inventory before a one period selling season with stochastic demand if too much is ordered stock is left over at the end of the period whereas if too little is ordered sales are lost the expected profit maximizing order quantity is well known but little is known about how managers actually make these decisions we describe two experiments that investigate newsvendor decisions across different profit conditions results from these studies demonstrate that choices systematically deviate from those that maximize expected profit subjects order too few of high profit products and too many of low profit products these results are not consistent with risk aversion risk seeking preferences prospect theory preferences waste aversion stockout aversion or the consequences of underestimating opportunity costs two explanations are consistent with the data one subjects behave as if their utility function incorporates a preference to reduce ex post inventory error the absolute difference between the chosen quantity and realized demand two subjects suffer from the anchoring and insufficient adjustment bias feedback and training did not mitigate inventory order errors we suggest techniques to improve decision making

myopic policies for some inventory models with uncertain demand distributions the majority of papers on stochastic inventory theory make the assumption that the distribution of consumer demand in each time period is known with certainty while this assumption is unsupported in many applied contexts it is conventionally held that more realistic models are more difficult to solve and will not yield simple operational policies this paper shows that a simple inventory policy based upon a critical fractile can be optimal or near optimal in some inventory models with parameter adaptive demand processes in these some parameter of the demand distribution is not known with certainty and estimates of the parameter are updated in a statistical fashion as demand is observed through time examples include exponentially smoothed forecasts and bayesian updating of parameter estimates bounds on the value loss relative to optimal cost when using the critical fractile policy can be calculated directly from the problem data some numerical examples illustrate the technique

multi period inventory games with information update this paper addresses the multi period inventory game of two substitutable products with learning in which the demand distribution form in each period is known but one or more parameters are unknown in advance the retailers update the estimates of the unknown parameters using the historical demand information as the transaction proceeds at each period the retailers check the initial inventories and update the forecasts about their demands first then they place the orders which are delivered immediately finally the demands are realized and satisfied by the available inventories the unsatisfied demand of one retailer switches to another and is satisfied by the other s left inventory unsatisfied demand is lost and the excess inventories incur a holding cost all the information is common knowledge the objectives of the two retailers are to make proper ordering decisions to maximize their total expected discount profits respectively we model the problem as a dynamic bayesian game with multi dimension state space we give the conditions under which the state space can be reduced we prove the existence and uniqueness of nash equilibrium and show that the equilibrium ordering strategy is the base stock policy the computation of the base stock levels can be reduced to a game with one dimension state space moreover for the case with perishable product the computation of the base stock levels can be reduced to the newsboy game