customer and retailer rebates under risk aversion abstract in a supply chain setting we analyze a manufacturer s customer and retailer rebates which are sales incentives offered to the end buyers and retailers respectively the performance of both rebates is influenced by the retailer s objective and response to the promotion due to his intermediary position in the channel earlier studies investigating rebates in distribution channels have traditionally assumed that the retailer is risk neutral with the objective of maximizing expected profits in our paper we consider a risk averse retailer we formally model risk aversion by adopting the conditional value at risk cvar decision criterion using a stochastic and effective price dependent demand we analyze the manufacturer s rebate amount decisions and the retailer s joint inventory and pricing decisions in a game theoretical framework we provide several structural properties of the objective functions and show monotonicity of the retailer s decisions in the degree of risk aversion for the case of retailer rebates we characterize the unique equilibrium and for the case of customer rebates we prove the existence of an equilibrium using numerical examples we provide further insights on the impact of risk aversion for example given an exogenous wholesale price we observe a threshold value on the retailer s risk aversion parameter below above which the manufacturer is better off with retailer rebates customer rebates implying that the manufacturer s preferred rebate type can be different depending on whether the retailer is risk neutral or sufficiently risk averse

optimal pricing and return policies for perishable commodities this paper considers the pricing decision faced by a producer of a commodity with a short shelf or demand life a hierarchical model is developed and the results of the single period inventory model are used to examine possible pricing and return policies the paper shows that several such policies currently in effect are suboptimal these include those where the manufacturer offers retailers full credit for all unsold goods or where no returns of unsold goods are permitted the paper also demonstrates that a policy whereby a manufacturer offers retailers full credit for a partial return of goods may achieve channel coordination but that the optimal return allowance will be a function of retailer demand therefore such a policy cannot be optimal in a multi retailer environment it is proven however that a pricing and return policy in which a manufacturer offers retailers a partial credit for all unsold goods can achieve channel coordination in a multi retailer environment this article was originally published in marketing science volume 4 issue 2 pages 166 176 in 1985

the impact of sharing customer returns information in a supply chain with and without a buyback policy in this paper we examine a single period problem in a supply chain in which a stackelberg manufacturer supplies a product to a retailer who faces customer returns and demand uncertainty we show that the manufacturer incurs a significant profit loss with and without a buyback policy if it fails to account for customer returns in the wholesale price decision under the assumption that the retailer is better informed than the manufacturer on customer returns information we show that without a buyback policy the retailer prefers not to share if the manufacturer overestimates while it prefers to share customer returns information if the manufacturer underestimates this information if the manufacturer offers a buyback policy we have the opposite results we also discuss incentives to share the customer returns information and some of the issues that are raised in sharing this information

assessing monetary policies in the eurozone u s u k and japan new evidence from the post crisis period abstractthe global financial crisis of 2007 changed the way central banks implement monetary policies this article examines the transmission of both conventional and unconventional monetary polici

a survey on risk averse and robust revenue management abstract many industries use revenue management to balance uncertain stochastic demand and inflexible capacity popular examples include airlines hotels car rentals retailing and manufacturing the classical revenue management approaches considered in theory and practice are based on two assumptions first demand as the only uncertain variable follows a known distribution and second risk neutrality justifies the maximization of expected revenue recently two related streams of literature emerged that do not need these assumptions research on risk averse revenue management acknowledges that in practice many decision makers are risk averse research on robust revenue management focuses worst case scenarios without a known demand distribution which is especially relevant for new and extremely unstable businesses this paper motivates the consideration of risk averse and robust revenue management we briefly introduce revenue managements two main methods capacity control and dynamic pricing in the classical risk neutral setting then we provide an exhaustive review of the literature on risk averse and robust capacity control and dynamic pricing in doing so the relevant decision criteria are briefly introduced finally possible avenues for future research are outlined

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

optimal acquisition and remanufacturing policies for multi product remanufacturing systems abstract this paper studies an acquisition and remanufacturing problem in a market driven multi product remanufacturing system where the remanufacturer acquires multiple used products cores of highly variable quality under independently uncertain demand and carbon emissions regulation in order to balance between the environmental and economic benefit the problem is formulated as a nonlinear programming model in presence of the quality variability of cores and carbon tax scheme subject to budget and risk constraints since the average cost of the remanufactured products is independent of the remanufacturing quantity the model is then decomposed into two separated sub problems namely the remanufacturing problem and the acquisition problem in the remanufacturing problem the optimal remanufacturing policies including the optimal remanufacturing cost thresholds and the optimal remanufacturing rate are derived in the acquisition problem the optimal policies of core portfolio acquisition quantities and remanufacturing quantities can be derived the acquisition problem viewed as an extended multi product newsvendor problem mpnp is a convex optimization problem furthermore a two tier bisection method with polynomial computational complexity can be developed to obtain the optimal policies based on the karush kuhn tucker kkt conditions finally numerical experiments are provided to show the application of the model and the effect of the quality variability

long run competition in capacity short run competition in price and the cournot model in this article we investigate the nature of equilibrium in markets in which firms choose the scale of operation before they make pricing decisions we analyze a duopoly model in which firms choose their capacities before engaging in bertrand like price competition we demonstrate that the cournot outcome is unlikely to emerge in such markets and that the equilibrium tends to be more competitive than the cournot model would predict in addition our results indicate a tendency toward asymmetric firm sizes and price dispersion that results from the mixed strategies firms use in equilibrium

the risk averse newsvendor problem under spectral risk measures a classification with extensions abstract we study the risk averse newsvendor problem by defining the objective function as a spectral risk measure we analyze the problem under different types of return formulations focusing on the impact of risk aversion and cost parameters on the optimal ordering decision we show that the monotonicity of the return function with respect to random demand determines the structural properties of the problem when the return function is monotone in demand realization optimal order quantity does not depend on the return margin but only on the overage and underage costs and it has a monotone relation to risk aversion however if return is non monotone in demand impact of risk aversion depends on the specific setting and it can also be non monotone additionally it is non increasing in the margin which leads to varying impact of selling price under distinct settings

dollar vs percentage markup pricing schemes under a dominant retailer abstract we investigate two very common pricing schemes for a stackelberg dominant retailer percentage markup and dollar markup we show that when a dominant retailer switches from dollar to percentage markup the channel s overall pie and the retailer s pie piece are both enlarged in contrast the manufacturer will be forced to levy a lower wholesale price thus receiving a smaller pie piece despite the larger pie the preceding statements hold regardless of whether the demand is deterministic or stochastic however the effects of switching to percentage markup on the retail price and sales volume will depend not only on whether the demand is stochastic but also on the assumed demand curve shape and on whether demand stochasticity is additive or multiplicative besides presenting a comprehensive set of answers on the comparative performance of dollar and percentagemarkups our results also highlight the often overlooked importance of choosing between i dollar and percentage markup and ii the formats of the assumed stochasticity and demand curves

stochastic linear programming games with concave preferences abstract we study stochastic linear programming games a class of stochastic cooperative games whose payoffs under any realization of uncertainty are determined by a specially structured linear program these games can model a variety of settings including inventory centralization and cooperative network fortification we focus on the core of these games under an allocation scheme that determines how payoffs are distributed before the uncertainty is realized and allows for arbitrarily different distributions for each realization of the uncertainty assuming that each player s preferences over random payoffs are represented by a concave monetary utility functional we prove that these games have a nonempty core furthermore by establishing a connection between stochastic linear programming games linear programming games and linear semi infinite programming games we show that an allocation in the core can be computed efficiently under some circumstances

outsourcing and capacity planning in an uncertain global environment firms employing offshore outsourcing strategies may face both exchange rate and demand uncertainties in this paper we show that the firms may benefit from operational option to switch production by keeping capacities with both domestic and foreign suppliers the value of the operational option increases as the exchange rate uncertainty or demand uncertainty increases in addition when the firms become risk averse they may use domestic capacity to hedge against offshore capacity as a result the firms may choose to hold local capacity even if it exhibits negative marginal contribution to the profit furthermore risk averse firms may keep more total capacity than risk neutral firms

analysis of the impact of price sensitivity factors on the returns policy in coordinating supply chain this paper analyzes the impact of price sensitivity factors on characteristics of returns policy contracts in a single period product supply chain the contract considers stochastic and price dependent demand we present an analytical model and then use numerical methods with the stackelberg game to identify the contract properties we numerically show that a returns policy indeed improves supply chain performance however the benefits earned from the returns policy under price sensitive and variable demand are different for different supply chain partners first when price sensitivity is high profit of the manufacturer decreases with increase in demand variability second when price sensitivity is sufficiently high and demand variability increases the manufacturer has to surrender part of the profits to the retailer in order to continue sales however even after surrendering part of the profits to the retailer the manufacturer still earns profits that are higher than those available in a wholesale price contract last from the perspective of division of channel profits the retailer is always worse off in case of returns policies than in a wholesale price contract therefore to apply this form of incentive in practice managements should consider the impact of price sensitivity on the returns policy and its performance

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

financial management in inventory problems risk averse vs risk neutral policies abstract in this work we discuss the effect of risk measure selection in the determination of inventory policies we consider an inventory system characterized by the loss function of luciano et al 2003 var as a risk measure for multi period static inventory models international journal of production economics 81 82 375 384 we derive the optimization problems faced by risk neutral quadratic utility mean absolute and cvar decision makers results show that while the global nature of the optimal policy is assured for risk coherent and risk neutral decision makers the convexity of the quadratic utility problem depends on the stochastic properties of demand we investigate the economic and stochastic determinants of the different policies this allows us to establish the conditions under which each type of decision maker is indifferent to imprecision in the distribution families finally we discuss the numerical impact of the choice of the risk measure by means of a multi item inventory the introduction of an approach based on savage scores allows us to offer a quantitative measurement of the similarity discrepancy of policies reflecting different risk attitudes

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

demand uncertainty and supplier s returns policies for a multi store style good retailer abstract as demand uncertainty grows in the marketplace a critical issue today in most purchase contract negotiations between an independent retailer of a style good and its supplier is the provision of a returns policy i e a commitment by the supplier to buy back unsold inventory of the good at the end of its selling season management science research on the strategic role and optimal design of returns policies has grown in recent years but so far offers little treatment of how exactly the retailer s optimal order quantity decisions are affected by demand uncertainty and how a supplier s returns policy can influence these decisions employing the traditional newsboy problem modeling framework the authors investigate these issues considering a supplier who faces a retailer with two or more store outlets with normally distributed and possibly correlated demands to facilitate their analyses the authors employ a methodology based on special error function representations of the highly nonlinear objective functions of the retailer and supplier utilizing this approach the authors are able to provide explicit insights into how a the buyer s total order quantity decision is affected by the variability in demand b buyback prices in combination with wholesale prices can influence the buyer s order quantity response to demand uncertainty c demand uncertainty moderates the effects of the buyback and wholesale prices d supplier s optimal combination of actions are affected by demand variability e retailer s and supplier s expected profits behave in response to changes in the supplier s actions under different levels of demand variability

minimizing cvar and var for a portfolio of derivatives value at risk var and conditional value at risk cvar are the most frequently used risk measures in current risk management practice as an alternative to var cvar is attractive since it is a coherent risk measure we analyze the problem of computing the optimal var and cvar portfolios in particular we illustrate that var and cvar minimization problems for derivatives portfolios are typically ill posed for example the var and cvar minimizations based on delta gamma approximations of the derivative values typically have an infinite number of solutions in this paper we focus on the portfolio selection problem which yields a portfolio of the minimum cvar with a specified rate of return we propose to include cost as an additional preference criterion for the cvar optimiza tion problem we demonstrate that with the addition of a proportional cost it is possible to compute an optimal cvar derivative investment portfolio with significantly fewer instru ments and comparable cvar and var a computational method based on a smoothing technique is proposed to solve a simulation based cvar optimization problem efficiently comparison is made with the linear programming approach for solving the simulation based cvar optimization problem

integrated operational and financial hedging with capacity reshoring abstract we consider a multinational corporation that employs capacity reshoring production switching and financial hedging to manage supply demand mismatches and currency risk we optimize mean conditional value at risk cvar by decomposing operations and finance operational flexibility maximizes expected profit subject to a cvar constraint whereas financial hedging minimizes cvar subject to a minimum expected profit we report three main findings first operational flexibility and financial hedging can be complements operational flexibility enhances profitability and reduces downside risk while financial hedging minimizes downside risk and can affect the feasible set of capacity portfolios albeit indirectly by relaxing a cvar constraint second operational flexibility and financial hedging are substitutes in risk reduction though the latter has greater risk reduction effects in cvar when used alone third coordinating operations and finance is crucial for minimizing substitution effects efficient financial hedging depends on rigorous estimation of cash flow distribution as shaped by operational flexibility and a capacity portfolio s feasibility relies on financial hedging because of the cvar constraint

the risk averse and prudent newsboy the effects of risk and risk aversion in the single period inventory newsboy problem are examined comparative static effects of changes in the various price and cost parameters are determined and related to the newsboy s risk aversion the addition of a random background wealth and of an increase in the riskiness of newspaper demand are also examined although many of the comparative effects generally are ambiguous some fairly simple restrictions on preferences and or risk increases are shown to lead to qualitatively deterministic results

ordering policy and coordination of a supply chain with two period demand uncertainty abstract we develop a two period game model of a one manufacturer and one retailer supply chain to investigate the optimal decisions of the players where stock out and holding costs are incorporated into the model the demand at each period is stochastic and price sharply drops in mid life we assume the retailer has a single order opportunity and decides how much inventory to keep in the middle of selling season we show that both the price protection mid life and end of life returns pme scheme and the only mid life and end of life returns me scheme may achieve channel coordination and access a win win situation under some conditions the larger the lowest expected profit of the retailer the lower the possibility of win win situation will be combined with the analysis of feasible regions for coordination policies we find that pme scheme is not always better than me scheme from the perspective of implementable mechanism finally we find that adopting the dispose down to ddt policy can bring a larger improvement of the expected channel profit in the centralized setting and it is interesting that by using ddt policy double marginalization occurs only at period 1 and however does not plague the retailer in period 2

the option value of returns theory and empirical evidence when a firm allows the return of previously purchased merchandise it provides customers with an option that has measurable value whereas the option to return merchandise leads to an increase in gross revenue it also creates additional costs selecting an optimal return policy requires balancing both demand and cost implications in this paper we develop a structural model of a consumer s decision to purchase and return an item that nests extant choice models as a special case the model enables a firm to both measure the value to consumers of the return option and balance the costs and benefits of different return policies we apply the model to a sample of data provided by a mail order catalog company we find considerable variation in the value of returns across customers and categories when the option value is large there are large increases in demand for example the option to return women s footwear is worth an average of more than 15 per purchase to customers and increases average purchase rates by more than 50 we illustrate how the model can be used by a retailer to optimize his return policies across categories and customers

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

beyond expected utility subjective risk aversion and optimal portfolio choice under convex shortfall risk measures abstract we conduct a decision theoretic analysis of convex shortfall risk measures regarding their flexibility to represent subjective risk aversion and discuss the implications for the choice of optimal portfolios as convex shortfall risk measures are closely related to the expected utility functional we draw upon the expected utility framework as our benchmark first we show that unlike expected utility convex shortfall risk measures do always represent constant absolute risk aversion this constitutes a significant limitation when changing initial wealth of e g investors is relevant interestingly though it is exactly this limitation that provides additional degrees of freedom in representing subjective risk aversion beyond expected utility when initial wealth is fixed as e g in returned based portfolio selection models in the tradition of markowitz 1952 second we apply convex shortfall risk measures to the standard portfolio problem between a riskless and a risky asset we provide a procedure that allows inferring the optimal portfolios under convex shortfall risk measures from certain optimal expected utility portfolios the procedure incorporates the additional degrees of freedom in modeling subjective risk aversion and thus allows more flexible and realistic portfolios compared to expected utility third we address the optimal portfolio choice between a riskless and a risky asset in the presence of an additional background risk again we prove a correspondence result between optimal portfolios under convex shortfall risk measures and expected utility and obtain more flexible and realistic portfolios compared to expected utility we also compare the optimal risky investments without and with background risk and provide a necessary and sufficient condition for a reduction of the risky investment

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

manufacturer s return policy in a two stage supply chain with two risk averse retailers and random demand abstract this paper studies the manufacturer s return policy and the retailers decisions in a supply chain consisting of one manufacturer and two risk averse retailers under a single period setting with price sensitive random demand we characterize each retailer s risk embedded objective via conditional value at risk and construct manufacturer stackelberg games with and without horizontal price competition between the retailers we explore through numerical studies the effects of the retailers aversion to risk and other parameters on the manufacturer s return policy and profit and the retailers decisions we further investigate the effect of distribution asymmetry by comparing the results with normal and lognormal demand

improving channel coordination through franchising in this paper we explore the role of franchising arrangements in improving coordination between channel members in particular we focus on two elements of the franchising contract namely the royalty structure and the monitoring technology we begin with a simple analysis where a manufacturer distributes its product through a retailer and the retail demand is affected by the retail price and the service provided by the retailer in this context we show that neither royalty payments nor monitoring are needed for full coordination we then extend the model to allow for free riding by franchisees and show that although monitoring helps affect the behavior of the franchisees royalty payments are still unnecessary to coordinate the activities of the franchisor and the franchisees finally we show that in environments where factors affecting retail sales are controlled by both the franchisor and the franchisee royalty payments provide the necessary incentives for the franchisor while monitoring systems are used to ensure that franchisees also behave in the best interest of the channel our general results are found to be consistent with those in brickley and dark 1987 and norton 1988 who conclude that franchising is affected by principal agent problems our theory finds special support in the work of lafontaine 1988 where it is concluded that the incidence of franchising is related to cost of monitoring and the importance of franchisor investments

effects of higher order moments on the newsvendor problem abstract in this paper we propose a stochastic programming model for the well known single period newsvendor problem by adopting the conditional value at risk cvar as the risk metric in the objective function the demand uncertainty is modeled in terms of discrete scenarios that reflect the empirical distributions implied by market demand data our numerical results demonstrate that the higher order moments skewness and kurtosis of demand have obvious effects on the newsvendor problem and the stochastic programming framework provides a flexible and effective decision support tool for the newsvendor problem

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

effects of the bank of japan s current quantitative and qualitative easing abstract this paper examines how the bank of japan s current quantitative and qualitative easing affects the japanese economy by using a markov switching vector autoregression model on daily economic data during january 2012 august 2014 the results reveal that quantitative easing by expanding the monetary base significantly lowers short term interest rates and raises inflation rates in addition the lowered interest rates positively affect inflation rates qualitative easing through purchases of long term government bonds and exchange traded funds increases economic activity purchases of exchange traded funds stimulate the stock and foreign exchange markets in japan while purchases of japan real estate investment trusts do not have any effect

risk shaping in production planning problem with pricing under random yield abstract in this paper we address a basic production planning problem with price dependent demand and stochastic yield of production we use price and target quantity as decision variables to control the risk of low production yield the value of risk control becomes more important especially for products with short life cycle where high losses are unbearable in the short run in this cases optimization of a solely scalar function of profit is not sufficient to control the risk we apply conditional value at risk cvar measure to model the risk preferences of the producer the producer is interested in shaping the risk by bounding from below the means of tail distributions of profit for different values of the resulting model is nonconvex we propose an efficient solution algorithm and present a sufficient optimality condition

the right to return this article studies the allocation of responsibility for unsold inventory provision for which is made in practically every distribution contract the two extreme cases are the consignment contract which allocates all the burden to the manufacturer and the no return contract in which retailers purchase the merchandise outright and assume responsibility for unsold inventory contract choices are shown to vary across countries industries products and types of transactions the article identifies six main factors affecting this choice optimal inventory policy in a stochastic retail demand environment relative advantage in disposing of the unsold inventory optimal risk allocation incentives to invest in promotions and provide services to increase consumer demand information asymmetry and costs associated with the consignment contract per se several testable implications are presented and the choice of contracts in the publishing industry is shown to be consistent with the predictions of the model

robust inventory decision under distribution uncertainty a cvar based optimization approach abstract we study the robust inventory decision making problem faced by risk averse managers with incomplete demand information in a newsvendor setting three basic models are developed expected profit maximization cvar based profit maximization and a combination of the two each model is robustly formulated under the assumption of ellipsoid discrete distribution and again under the box discrete distribution each robust model can be mathematically transformed into a second order cone program for ellipsoid uncertainty or into a general convex optimization problem for box uncertainty both transformed problems can be optimally solved directly we offer propositions with proof to show the equivalence of the transformed problems with the original ones numerical examples are given to validate the proposed approach we find that the performances under both ellipsoid and box uncertain distributions are robust finally sensitivity analysis with respect to risk averse levels and trade off coefficients is conducted to validate the proposed models and solution approaches

the effectiveness of quantitative easing evidence from japan abstract this study contributes to current research on quantitative easing we provide a novel analysis of the quantitative easing effectiveness as an unconventional monetary policy tool in japan over the last two decades the paper advances current research on quantitative easing by exploring quantitative easing through the prism of the monetary transmission mechanism we examine the response of japanese regional banks to the quantitative easing operations conducted by the bank of japan from the early 2000s till 2015 the analysis is performed within the framework of the bank lending channel under the unconventional monetary policy strategies we find that small sized regional banks underline the significant positive effect of quantitative easing on gross domestic product and inflation that works through the securities holdings and leverage preferences monetary authorities should pay particular attention to policies for such banks and banks with a high level of non performing loans deposit growth after a quantitative easing shock is only present in large sized banks with low npls holdings

accurate response by postponement abstract accurate response and postponement are two strategies for a firm to deal with demand uncertainty and better match supply with demand under accurate response reactive capacity could be used for customized make to order mto production according to customer demands on the other hand using postponement a firm could perform the non postponed activities speculatively and use reactive capacity only to customize the final product thereby enhancing the profitability of accurate response surprisingly existing research in the areas of accurate response and postponement does not address this potential in this paper we aim to fill this gap by proposing a stylized model for accurate response by postponement specifically we analyze a situation where a manufacturer is faced with uncertain demand for a product during a short selling season the manufacturer has three supply options first it can manufacture and offer a standardized version of the product second it can use postponement by manufacturing a standard component speculatively and customizing it once demands are revealed at the beginning of the selling season third it can produce customized products in a pure make to order fashion during the selling season this situation is modeled as an extension of a newsvendor problem our main research question is then to analyze specifically under which conditions postponement is part of the optimal supply strategy and more generally what kinds of supply strategies will arise in different model settings

finite change comparative statics for risk coherent inventories abstract this work introduces a comprehensive approach to the sensitivity analysis sa of risk coherent inventory models we address the issues posed by i the piecewise defined nature of risk coherent objective functions and ii by the need of multiple model evaluations the solutions of these issues are found by introducing the extended finite change sensitivity indices fcsi s we obtain properties and invariance conditions for the sensitivity of risk coherent optimization problems an inventory management case study involving risk neutral and conditional value at risk cvar objective function illustrates our methodology three sa settings are formulated to obtain managerial insights numerical findings show that risk neutral decision makers are more exposed to variations in exogenous variables than cvar decision makers

manufacturer s return policies and retail competition manufacturers returns policies are a common feature in the distribution of many products the obvious rationale for returns policies is insurance practitioners not surprisingly have a different perspective and view returns as a cost of doing business in this paper we study the strategic effect of returns policies on retail competition and highlight its profitability implications for a manufacturer the setting for our research is the distribution of products with uncertain demand limited shelf lives and retail competition our objective is to provide a better understanding of when manufacturers should adopt returns policies the insights are obtained with a model based on the economics of strategy and decision making under uncertainty we show that when retailing is competitive and there is no uncertainty in demand a returns policy subtly induces retailers to compete more intensely the provision of a returns policy reduces retail prices without affecting wholesale prices thereby reducing retailer margins and improving manufacturer profitability the intuition is that with a returns policy cournot like levels of retail stocks cannot be sustained each retailer will order stocks so that it will not be constrained by stocks and so intensifying retail competition when however demand is uncertain and there is a single retailer a returns policy encourages the retailer to over stock and so decreases upstream manufacturer profits while the provision of a returns policy leads to lower retail margins the optimality of returns policy depends on the overall uncertainty and marginal cost a returns policy reduces the dispersion in retail prices between the high and low states of demand and the range of retail prices in the returns case is contained within the range of retail prices for the no returns case in the general setting when there are competing retailers and demand is uncertain there is a trade off for the manufacturer between the benefits more intense retail competition and the costs excessive stocking of a returns policy we find that a manufacturer should accept returns when the marginal production cost is sufficiently low and demand uncertainty is not too great to validate the results of our theory we conduct an empirical test with data from a major u s retailer the tests confirm our prediction that a returns policy intensifies retail competition and reduces retailer margins our theory and empirical test should interest practitioners and researchers in distribution especially those concerned with managing retail competition

rational actors tit for tat types and the evolution of cooperation abstract evolutionary models in economics have often been criticized for failing to allow for rational maximizing behavior the present paper represents a step toward correcting this deficiency by introducing rational actors into an evolutionary model of the finitely repeated prisoners dilemma at the same time the model endogenizes the uncertainty postulated in the classic model of kreps et al 1982 thus explaining cooperation by rational actors in the finitely repeated prisoners dilemma a testable implication of the model is that the level of voluntary cooperation in a society will be relatively high where geographical mobility is relatively low

conducting monetary policy at very low short term interest rates can monetary policy committees accustomed to describing their plans and actions in terms of the level of a short term nominal interest rate find effective means of conducting and communicating their policies when that rate is zero or close to zero the very low levels of interest rates in japan switzerland and the united states in recent years have stimulated much interesting research on this question and have led some central banks to make changes in their operating procedures and communications strategies in this paper we will give a brief overview of current thinking on the conduct of monetary policy when short term interest rates are very low or even zero monetary policy works for the most part by influencing the prices and yields of financial assets which in turn affect economic decisions and thus the evolution of the economy when the short term policy rate is at or near zero the conventional means of effecting monetary ease lowering the target for the policy rate is no longer feasible however it would be a mistake to think that monetary policy was impotent we discuss three strategies for stimulating the economy at an unchanged level of the policy rate these involve i providing assurance to investors that short rates will be kept lower in the future than they currently expect ii changing the relative supplies of securities in the marketplace by altering the composition of the central bank s balance sheet and iii increasing the size of the central bank s balance sheet beyond the level needed to set the short term policy rate at zero quantitative easing we also discuss the costs and benefits of very low interest rates an issue that bears on the question of whether the central bank should take the policy rate all the way to zero before undertaking alternative policies

mean variance analysis of a single supplier and retailer supply chain under a returns policy abstract in the literature most of the supply chain coordinating policies target at improving the supply chain s efficiency in terms of expected cost reduction or expected profit improvement however optimizing the expected performance alone cannot guarantee that the realized performance measure will fall within a small neighborhood of its expected value when the corresponding variance is high moreover it ignores the risk aversion of supply chain members which may affect the achievability of channel coordination as a result we carry out in this paper a mean variance mv analysis of supply chains under a returns policy we first propose an mv formulation for a single supplier single retailer supply chain with a newsvendor type of product the objective of each supply chain decision maker is to maximize the expected profit such that the standard deviation of profit is under the decision maker s control we study both the cases with centralized and decentralized supply chains we illustrate how a returns policy can be applied for managing the supply chains to address the issues such as channel coordination and risk control extensive numerical studies are conducted and managerial findings are proposed

the impact of the prechoice process on product returns abstract this article introduces a framework to help researchers understand the mechanisms underlying product returns the framework draws on research in consumer choice consumer memory and attitude stability to predict how the process that consumers go through at a predecisional stage affects their postpurchase behavior the likelihood of product returns is considered contingent on the amount and nature of cognitive responses generated during the choice process in study 1 the authors focus on the impact of the nature of cognitive responses and show that the generation of responses of a different nature while choosing directly affects the likelihood of choice reversal the comparative versus noncomparative nature of thoughts generated influences their diagnosticity and accordingly their impact on product returns when consumers are exposed to disconfirming information in study 2 the authors draw on the inoculation theory to manipulate the number of prechoice thoughts they find that when faced with

evolution in economic games abstract this paper examines the conditions under which evolutionary processes select equilibrium strategies of agents or firms under plausible dynamics optimal selection takes place provided that economic agents are small relative to the environment that is each such agent has a negligible effect on others payoffs however when this assumption is not met survival need not imply optimality examples in the contexts of bargaining bidding and market competition are presented

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

hope springs eternal learning and the stability of cooperation in short horizon repeated games abstract this paper considers learning rates in finitely repeated prisoners dilemmas if players think their opponents might be relatively cooperative e g tit for tat or grim types they will cooperate in finitely repeated prisoners dilemmas see kreps et al j econom theory 27 1982 245 however if there are actually no cooperative types players will eventually learn this and cooperation will break down this paper shows that this learning is extremely slow so it will take an extremely long time for cooperation to break down thus suppose the world is either good or bad the probability of a grim type is 0 if the world is good and zero if the world is bad successive generations pair up to play finitely repeated prisoners dilemmas players observe play in previous generations and use bayes rule to update their prior that the world is good we show that if the world is really bad then falls o 2 log 1 per generation on average thus if is small there is less cooperation if the world is good but cooperation may become more stable for a representative 19 period repeated prisoners dilemma beliefs fall one percentage point on average after a thousand generations to derive these learning rates we must refine existing results on the sensitivity of repeated games to kreps et al 1982 type perturbations specifically we show cooperation is possible in perturbed prisoners dilemmas repeated o log 1 times this improves significantly on the o 1 results in previous work the paper thus provides two new reasons why cooperation tends to be stable even in short horizon repeated games

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

impact of risk aversion on optimal decisions in supply contracts abstract we introduce the concept of conditional value at risk as the evaluation criterion in a supply contract model we first derive the manufacturer s optimal decisions and then analyze the impact of risk aversion on the manufacturer s decisions we follow by conducting numerical experiments to observe how the manufacturer s risk attitude affects his decisions we obtain results that characterize the explicit relationship between the manufacturer s risk attitude and his optimal decisions we also show the dependence of the decision variables on the price and cost parameters which is seldom given in the literature

comment managing channel profits comment in a recent paper in this journal jeuland and shugan jeuland a s shugan 1983 managing channel profits marketing sci 2 summer 239 272 proposed a quantity discount schedule as a way of coordinating a channel as they put it on p 253 of their paper a quantity discount schedule which would fix the retailer s and hence the manufacturer s profits to some fixed linear function of total channel profits would lead the channel to maximize profits the purpose of this note is to show that a quantity discount schedule is not necessary for channel coordination

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

asymmetry and ambiguity in newsvendor models a basic assumption of the classical newsvendor model is that the probability distribution of the random demand is known but in most realistic settings only partial distribution information is available or reliably estimated the distributionally robust newsvendor model is often used in this case where the worst case expected profit is maximized over the set of distributions satisfying the known information which is usually the mean and covariance of demands however covariance does not capture information on asymmetry of the demand distribution in this paper we introduce a measure of distribution asymmetry using second order partitioned statistics semivariance is a special case with a single partition of the univariate demand with mean variance and semivariance information we show that a three point distribution achieves the worst case expected profit and derive a closed form expression for the distributionally robust order quantity for multivariate demand the distributionally robust problem

recent evolutionary theorizing about economic change this famous passage from marshall s principles of economics it first appeared in the fifth edition which came out in 1907 nicely brings out two issues which are as germane to economics today as they were when marshall wrote the first is the heavy reliance by economists in their formal theorizing on the notion of equilibrium the other is the appeal that biological conceptions3x201d have for many economists particularly when their focus is on economic change

evolution in the finitely repeated prisoner s dilemma abstract this paper examines some aspects of evolutionary dynamic behavior in the finitely repeated prisoner s dilemma the fitness of cooperation found in the best known simulation of this type that by robert axelrod stems from strategy set restrictions the game used for the simulation has a continuum of pure cooperation equilibria and no pure defection equilibrium some new simulations are presented here for the finitely repeated game although cooperation is ultimately exploited and extinguished dynamic paths can pseudo converge in ways that allow partial cooperation to flourish for extended periods of time

on returns policies with exogenous price we contribute to current research on single period returns policies by making a clear distinction between models in which transfer price is exogenous and models in which one dominant party unilaterally declares a price we compare the equilibrium contracts that result from these two approaches and derive conditions for the equilibrium returns policy to be pareto efficient when transfer price is exogenous our main result is distribution free but we make some interesting observations on channel performance when demand is uniformly distributed

coordinated decisions for substitutable products in a common retailer supply chain abstract this paper studies coordination mechanisms in a supply chain which consists of two suppliers with capacity uncertainties selling differential yet substitutable products through a common retailer who faces price sensitive random demand of these two products we develop in a noncompetitive setting three coordination models revenue sharing return policy and combination of revenue sharing and return policy and contrast them with a basic and uncoordinated model we are able to establish the ordinal relationship among the retailer s ordering and pricing decisions and analytically compare the performances between certain models when two suppliers are identical we find that the retailer s ordering and pricing decisions in the model with return policy in the case of identical suppliers are independent of demand or supply uncertainty our numerical results reveal that the performances of coordination models in the case of nonidentical suppliers resemble those in the case of identical suppliers we find that the retailer will place a larger order quantity in models where her average cost per unit sold is smaller we also find that product substitutability and uncertainties have different effects on chain performances

note the role of returns policies in pricing and inventory decisions for catalogue goods manufacturers often use returns policies to encourage retailers to stock and price items more aggressively we focus on the effect that such policies have on both a retailer s and a manufacturer s profits when the retailer must commit prior to the selling season to both a stocking quantity and a price at which to sell an item such a commitment is often necessary for retailers who sell primarily through catalogues

cooperation secret handshakes and imitation in the prisoners dilemma building on a j robson 1990 j theoret biol 144 379 396 we introduce into the repeated prisoners dilemma mutants who have the ability to send a costly signal i e the secret handshake before each round of the game and to condition their actions on whether or not they observe the same signal from their opponent we show that as mutation probabilities approach zero in the limit cooperation occurs a positive fraction of the time using simulations to study the behavior of the system with nonzero mutation probabilities we obtain similar results surprisingly in some cases an increased payoff to unilateral defection actually raises the level of cooperation journal of economic literature classification numbers c70 c72 d60

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

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

multi product newsvendor problem with value at risk considerations abstract we consider the single period stochastic inventory newsvendor problem with downside risk constraints the aim in the classical newsvendor problem is maximizing the expected profit this formulation does not take into account the risk of earning less than a desired target profit or losing more than an acceptable level due to the randomness of demand we utilize value at risk var as the risk measure in a newsvendor framework and investigate the multi product newsvendor problem under a var constraint to this end we first derive the exact distribution function for the two product newsvendor problem and develop an approximation method for the profit distribution of the n product case n 2 a mathematical programming approach is used to determine the solution of the newsvendor problem with a var constraint this approach allows us to handle a wide range of cases including the correlated demand case that yields new results and insights the accuracy of the approximation method and the effects of the system parameters on the solution are investigated numerically

demand uncertainty and returns policies manufacturers facing uncertain demand may induce distributors to carry ample stocks of their products by agreeing to accept returns of unsold goods for credit the authors model the manufacturer s decision to accept returns showing that this decision depends crucially on the nature of the demand uncertainty uncertainty over customer arrivals favors returns while uncertainty over consumers valuation of the manufacturer s product leads distributors to set retail prices too high from the manufacturer s standpoint when returns are allowed the authors show that returns can be expected to raise retail prices while maintaining shrinking distributor margins copyright 1995 by economics department of the university of pennsylvania and the osaka university institute of social and economic research association

risk analysis with contractual default does covenant breach matter abstract mergers and acquisitions m a private equity and leveraged buyouts securitization and project finance are characterized by the presence of contractual clauses covenants these covenants trigger the technical default of the borrower even in the absence of insolvency therefore borrowers may default on loans even when they have sufficient available cash to repay outstanding debt this condition is not captured by the net present value npv distribution obtained through a standard monte carlo simulation in this paper we present a methodology for including the consequences of covenant breach in a monte carlo simulation extending traditional risk analysis in investment planning we introduce a conceptual framework for modeling technical and material breaches from the standpoint of both lenders and shareholders we apply this framework to a real case study concerning the project financing of a 64 million euro biomass power plant the simulation is carried out on the actual model developed by the financial advisor of the project and made available to the authors results show that both technical and material breaches have a statistically significant impact on the net present value distribution and this impact is more relevant when leverage and cost of debt increase

manufacturer s revenue sharing contract and retail competition this paper investigates a revenue sharing contract for coordinating a supply chain comprising one manufacturer and two competing retailers the manufacturer as a stackelberg leader offers a revenue sharing contract to two competing retailers who face stochastic demand before the selling season under the offered contract terms the competing retailers are to determine the quantities to be ordered from the manufacturer prior to the season and the retail price at which to sell the items during the season the process of pricing and ordering is expected to result in an equilibrium as in the bayesian nash game on the basis of anticipated responses and actions of the retailers the manufacturer designs the revenue sharing contract adopting the classic newsvendor problem model framework and using numerical methods the study finds that the provision of revenue sharing in the contract can obtain better performance than a price only contract however the benefits earned under the revenue sharing contract by different supply chain partners differ because of the impact of demand variability and price sensitivity factors the paper also analyses the impact of demand variability on decisions about optimal retail price order quantity and profit sharing between the manufacturer and the retailers lastly it investigates how the competition between retailers factor influences the decision making of supply chain members in response to uncertain demand and profit variability