optimal dynamic pricing of inventories with stochastic demand over finite horizons in many industries managers face the problem of selling a given stock of items by a deadline we investigate the problem of dynamically pricing such inventories when demand is price sensitive and stochastic and the firm s objective is to maximize expected revenues examples that fit this framework include retailers selling fashion and seasonal goods and the travel and leisure industry which markets space such as seats on airline flights cabins on vacation cruises and rooms in hotels that become worthless if not sold by a specific time we formulate this problem using intensity control and obtain structural monotonicity results for the optimal intensity resp price as a function of the stock level and the length of the horizon for a particular exponential family of demand functions we find the optimal pricing policy in closed form for general demand functions we find an upper bound on the expected revenue based on analyzing the deterministic version of the problem and use this bound to prove that simple fixed price policies are asymptotically optimal as the volume of expected sales tends to infinity finally we extend our results to the case where demand is compound poisson only a finite number of prices is allowed the demand rate is time varying holding costs are incurred and cash flows are discounted the initial stock is a decision variable and reordering overbooking and random cancellations are allowed

who ll stop lying under oath empirical evidence from tax evasion games using two earned income tax declaration experimental designs we show that only partial liars are affected by a truth telling oath a non price commitment device under oath we see no change in the number of chronic liars and fewer partial liars rather than smoothly increasing their compliance we also observe that partial liars who respond to the oath respond by becoming fully honest under oath based on both response times data and the consistency of subjects when several compliance decisions are made in a row we show that partial lying arises as the result of weak preferences towards profitable honesty the oath only transforms people with weak preferences for lying into being committed to the truth

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 discounting and replenishment policies for perishable products abstract we consider a retailer selling a perishable product with short shelf life and uncertain demand facing these key decisions a whether to discount old er items b how much discount to offer and c what should be the replenishment policy in order to better understand the impact of consumer behavior and shelf life on these decisions we consider four models in model a the product has a shelf life of two periods and the retailer decides whether or not to offer a discount the amount of discount is exogenous and assumed to be large enough so that all the customers prefer the old product to the new one when a discount is offered based on several numerical examples we find that a threshold discounting policy in which a discount is offered if and only if the inventory of old product is below a threshold is optimal in model b the retailer also decides how much discount to offer model c extends model b and considers a new pool of customers who are willing to purchase from the retailer when a discount is offered in both models b and c the product has a shelf life of two periods while model d explores what happens with longer shelf life we analyze and compare these models to present different managerial insights

the dual process drift diffusion model evidence from response times we introduce a model of response time and choice that borrows from two distinct psychological traditions as in dual process models rapid automatic decisions are qualitatively different from considered decisions as in the drift diffusion model delayed considered decisions occur when confidence hits a threshold level we conduct a simple experiment in which our hybrid model matches key properties of the data as our model predicts decision times are bimodal automatic decisions are of far lower quality than considered decisions and automatic decisions are more prevalent when prior information improves thereby raising their quality jel d83 d87 c91

benefits of neuroeconomic modeling new policy interventions and predictors of preference neuroeconomics strives to use knowledge from neuroscience to improve models of decisionmaking here we introduce a biologically plausible drift diffusion model that is able to jointly predict choice behavior and response times across different choice environments the model has both normative and positive implications for economics first we consistently observe that decisionmakers inefficiently allocate their time to choices for which they are close to indifference we demonstrate that we can improve subjects welfare using a simple intervention that puts a time limit on their choices second response times can be used to predict indifference points and the strength of preferences

technical note preservation of quasi k concavity and its applications in this paper we establish a new preservation property of quasi k concavity under certain optimization operations one important application of the result is to analyze joint inventory pricing models for single product periodic review inventory systems with concave ordering costs at each period an ordering quantity and a selling price of the product are determined simultaneously demand is random but sensitive to the price the objective is to maximize the total expected discounted profit over a finite planning horizon assuming that demand is a deterministic function of the selling price plus a random perturbation with a positive polya or uniform distribution we show that a generalized s s p policy is optimal

the allocation of time in decision making we study the allocation of time across decision problems if a decision maker 1 has noisy estimates of value 2 improves those estimates the longer he or she analyzes a choice problem and 3 allocates time optimally then the decision maker should spend less time choosing when the difference in value between two options is relatively large to test this prediction we ask subjects to make 27 binary incentive compatible intertemporal choices and measure response time for each decision our time allocation model explains 54 of the variance in average decision time these results support the view that decision making is a cognitively costly activity that uses time as an input allocated according to cost benefit principles

decision time consideration time and status quo bias economists increasingly appreciate the value of studying the time taken to make decisions in order to provide insights into decision makers choices this article shows that studying how time is allocated among individual options is also valuable in helping researchers to understand the impact default options have on decision makers attention allocation as approximated by how the time is allocated the study of this impact generates new insights into the well known choice phenomenon of status quo bias which typically refers to decision makers tendency to stick to a default option by designing a series of novel experiments i find that this bias arises even when the choice is among prizes of fixed monetary value expressed in arithmetic form i also find asymmetric attention i e more time devoted to default options and strikingly asymmetric choice errors specifically decision makers fail to select an alternative better than the default 28 of the time while they incorrectly select an alternative worse than the default only 11 of the time and provide evidence supporting a causal relationship between asymmetric attention and asymmetric errors jel d03 d12 d83

costly information acquisition experimental analysis of a boundedly rational model the directed cognition model assumes that agents use partially myopic option value calculations to select their next cognitive operation the current paper tests this model by studying information acquisition in two experiments in the first experiment information acquisition has an explicit financial cost in the second experiment information acquisition is costly because time is scarce the directed cognition model successfully predicts aggregate information acquisition patterns in these experiments when the directed cognition model and the fully rational model make demonstrably different predictions the directed cognition model better matches the laboratory evidence jel d83

conditions of reverse bullwhip effect in pricing under joint decision of replenishment and pricing abstract a reverse bullwhip effect in pricing rbp occurs when an amplification of price variability takes place moving from the upstream suppliers to the downstream customers in a supply chain in this study we investigate rbp conditions for supply chains where joint replenishment and pricing decisions are made commencing with a single stage supply chain in which a retailer faces a random and price sensitive demand we extend the results to a multi stage supply chain using a leader follower game theoretical framework we discuss rbp conditions for supply chains where newsvendor and continuous review inventory policies are employed and present numerical examples for commonly used demand functions

combined pricing and inventory control under uncertainty this paper addresses the simultaneous determination of pricing and inventory replenishment strategies in the face of demand uncertainty more specifically we analyze the following single item periodic review model demands in consecutive periods are independent but their distributions depend on the item s price in accordance with general stochastic demand functions the price charged in any given period can be specified dynamically as a function of the state of the system a replenishment order may be placed at the beginning of some or all of the periods stockouts are fully backlogged we address both finite and infinite horizon models with the objective of maximizing total expected discounted profit or its time average value assuming that prices can either be adjusted arbitrarily upward or downward or that they can only be decreased we characterize the structure of an optimal combined pricing and inventory strategy for all of the above types of models we also develop an efficient value iteration method to compute these optimal strategies finally we report on an extensive numerical study that characterizes various qualitative properties of the optimal strategies and corresponding optimal profit values

optimal procurement policies under price dependent demand abstract we study a periodic review inventory model where in addition to the procurement quantity price is also a decision variable we develop a model where demand in each period is a random variable having a price and possibly period dependent probability distribution with the expected demand decreasing in price the model includes price limits and fixed ordering costs in addition to unit procurement holding and shortage costs we study the optimal policies which jointly maximize the discounted expected profit over a finite planning horizon we characterize the form of the optimal procurement policy under a general price demand relationship and give a sufficient condition for it to be s n s n type we also discuss some special cases and extensions to the basic model including the infinite horizon problem

s s optimality in joint inventory pricing control an alternate approach we study a stationary single stage inventory system under periodic review with fixed ordering costs and multiple sales levers such as pricing advertising etc we show the optimality of s s type policies in these settings under both the backordering and lost sales assumptions our analysis is constructive and is based on a condition that we identify as being key to proving the s s structure this condition is entirely based on the single period profit function and the demand model our optimality results complement the existing results in this area

performance of ethical mutual funds in spain sacrifice or premium there is currently much debate in the economic literature about whether ethical investment involves a financial sacrifice or premium one of the most common methods of testing this compares the financial performance of ethical investment funds with that of other funds not considered socially responsible or ethical the majority of these research studies evaluate the performance of the ethical funds according to classic measures whereby different financial markets in different countries and for different periods of time serve as reference for evaluation the ultimate conclusion of all of these studies is that there are no significant differences between the performance results of one type of funds and the other in spain ethical investment funds are still an incipient sector of investment to date the spanish market has not been included in any type of analysis of these characteristics therefore the main objective of this article is to compare the financial performance of ethical investment funds to that of other funds in the spanish retail market we propose the aggregate type of analysis as the spanish ethical investment funds have experienced a weaker development in comparison to those of other developed countries in the first step we suggest the financial performance to be compared by style analysis since the asset distribution of the spanish social return investment sri funds differs from the european trend in particular we use the multifactor regression model with style benchmarks we found that their financial performance is in all cases superior or similar to that achieved by the rest of the funds in the second step to achieve a more robust and homogeneous comparison we used the bootstrap method comparing ethical and non ethical fund subsamples by homogeneous groups no significant differences between these two types of funds have been found thus if we assume the positive o neutral effect of ethical investment on investor utility in the retail spanish market the financial and social performance fsp of ethical funds will be in aggregate superior to the fsp achieved by conventional funds in conclusion the financial performance of ethical mutual funds in spain is no sacrifice

inventory management with auctions and other sales channels optimality of s s policies we study periodic review inventory replenishment problems with fixed ordering costs and show the optimality of s s inventory replenishment policies inventory replenishment is instantaneous i e the lead time is zero we consider several sales mechanisms e g auction mechanisms name your own price mechanisms and multiple heterogeneous sales channels we prove this result by showing that these models satisfy a recently established sufficient condition for the optimality of s s policies thus this paper shows that the optimality of s s policies extends well beyond the traditional sales environments studied so far in the inventory literature

coordinating inventory control and pricing strategies with random demand and fixed ordering cost the finite horizon case we analyze a finite horizon single product periodic review model in which pricing and production inventory decisions are made simultaneously demands in different periods are random variables that are independent of each other and their distributions depend on the product price pricing and ordering decisions are made at the beginning of each period and all shortages are backlogged ordering cost includes both a fixed cost and a variable cost proportional to the amount ordered the objective is to find an inventory policy and a pricing strategy maximizing expected profit over the finite horizon we show that when the demand model is additive the profit to go functions arek concave and hence an s s p policy is optimal in such a policy the period inventory is managed based on the classical s s policy and price is determined based on the inventory position at the beginning of each period for more general demand functions i e multiplicative plus additive functions we demonstrate that the profit to go function is not necessarilyk concave and an s s p policy is not necessarily optimal we introduce a new concept the symmetrick concave functions and apply it to provide a characterization of the optimal policy

revenue management of a make to stock queue motivated by recent electronic marketplaces we consider a single product make to stock manufacturing system that uses two alternative selling channels long term contracts and a spot market of electronic orders at time 0 the risk averse manufacturer selects the long term contract price at which point buyers choose one of the two channels the resulting long term contract demand is a deterministic fluid while the spot market demand is modeled as a stochastic renewal process an exponential reflected random walk model is used to model the spot market price which is correlated with the spot market demand process the manufacturer accepts or rejects each electronic order and long term contracts and accepted electronic orders are backordered if necessary the manufacturer s control problem is to select the optimal long term contract price as well as the optimal production i e busy idle and electronic order admission policies to maximize revenue minus inventory holding and backorder costs under heavy traffic conditions the problem is approximated by a diffusion control problem and analytical approximations are used to derive a policy that is simple and reasonably accurate and robust

coordinating inventory control and pricing strategies under batch ordering in this paper we investigate joint pricing and inventory control problems in a finite horizon single product periodic review setting with certain uncertain supply capacities the demands in different periods are random variables whose distributions depend on the posted price exhibiting the additive form the order quantity in each period is required to be of integral multiples of a given specific batch size denoted by q inventory replenishment incurs a linear ordering cost referred to as the cost rate function the sum of holding and backorder costs can either be convex or quasi convex the objective is to determine a joint ordering and pricing decision that can maximize the total expected profit over the planning horizon we first consider the case in which the cost rate function is convex and show that the modifiedr q list price policy is optimal for the system with certain and limited capacities a special case of which is the r q list price policy when capacities become unlimited as supply capacities become random the optimal policy follows a new structure wherein the optimal order up to level and posted price must be coordinated to make the optimal safety stock level follow the r q policy we further consider the case of a quasi convex cost rate function which may arise when a service level constraint is used as a surrogate for the shortage cost we demonstrate that the r q list price policy is optimal for the system without supply capacity constraints in addition extensions to several other models are discussed the enabling technique is based on the notion of q jump convexity and its variants

dynamic replenishment production and pricing decisions in the face of supply disruption and random price sensitive demand abstract we study a joint decision problem for replenishment production pricing strategies in the face of both supply and demand uncertainties the supply of the raw material suffers from a potential supply disruption while the demand for the finished goods is price sensitive and random we assume that the raw material is storable and unfilled demands are fully backordered we characterize the optimal policies for raw material replenishment finished goods production and pricing we find that the optimal replenishment policy is an order up to type for a given finished goods stock level while it is a threshold type for a given raw material stock level for either a given finished goods stock level or a given raw material stock level the optimal production policy is a threshold type and the optimal pricing policy is a modified list price type respectively