behavioral demand effects when buyers anticipate inventory shortages abstract firms often worry about how buyers will react when there is an inventory shortage but the anticipation of facing a shortage may also impact buyer behavior in this paper we use a combination of theoretical modeling computational methods and laboratory experiments to understand buyers search behavior in markets where there is potential for either a costly or costless inventory shortage when inventory shortages are costly to buyers we find their equilibrium purchasing strategy generates a newsvendor problem among the firms in turn experimental data suggests buyer behavior can be explained by prospect theory better than by standard assumptions of fully rational expected utility maximizing agents indicating that potential inventory shortages generate loss aversion among buyers and there is systematic mis identification of the probability with which they will be able to procure an item using computational methods we find firms are able to extract more surplus from behavioral buyers via higher prices than would be predicted by the standard model on the other hand when inventory shortages are not costly to buyers the effect of behavioral biases on the part of buyers is not relevant but in this case there can be a benefit to reducing inventory via a reduction in price competition

pricing and lot sizing decisions for perishable goods when demand depends on selling price reference price product freshness and displayed stocks abstract price is an important factor affecting demand rate based on economic and marketing theory in addition today s health conscious consumers prefer a product further from its expiration date because it is fresher and can be stored longer furthermore a large display of goods in a supermarket induces customers to buy more due to its visibility variety and seasonality as a result we develop a joint pricing and lot sizing model for retailers selling perishable products in which the demand depends on not only the selling price and reference price but also the product freshness linked to expiration date and displayed stock level we then formulate the problem as a deterministic model in which the retailer determines the optimal selling prices and ending inventory levels to maximize the discounted total profit furthermore we discuss the retailer s optimal decisions under two scenarios of demand behavior loss neutrality and loss aversion our theoretical analysis shows that the optimal pricing and ending inventory level strategies are both monotonic in time and the equilibrium of the system is unique for these two scenarios of demand behavior finally a set of structural properties and sensitivity analysis is also developed to characterize the impacts of model parameters on the optimal decisions

optimal ordering and pricing policies in a single period environment with multivariate demand and markdowns this paper investigates a single period inventory model in which the demand of the product is a deterministic multivariate function of price time and level of inventory models are formulated for the basic pricing case and the case with a price markdown during the season solution methodologies are presented for each case when the pricing decisions are predetermined and when they are decision variables comments on the practical use of this model are presented and sensitivity analysis is conducted on the decision variables and demand parameters

optimal dynamic pricing for deteriorating items with reference price effects when inventories stimulate demand abstract in this paper we incorporate reference price effects into a deteriorating inventory problem when the demand rate depends on displayed stock level and selling price simultaneously reference price effects are formed empirically by customers to adjust current price perception on the basis of past purchases the market demand is assumed to be responsive to the difference between the current selling price and the reference price which is perceived as a loss or a gain we consider three scenarios of market demand loss neutrality loss aversion and loss seeking an optimal dynamic pricing model is established to determine a pricing strategy maximizing the discounted total profit over an infinite time horizon theoretical results are derived to demonstrate the existence of the optimal solutions and to explore the relationships between optimal pricing decisions and an initial reference price based on mild assumptions numerical example and sensitivity analysis are presented to illustrate the theoretical results and managerial insights finally concluding remarks are offered

ranking contingent monitoring systems this paper seeks to provide a ranking of information systems in a setting of contingent monitoring control strategies that make the acquisition of additional information conditional on observing certain outcomes largely elude the existing ranking criteria we show that this happens because contingent monitoring involves more than the classical trade off between risk sharing and incentives it also requires a balancing of incentives and downside risk we then develop a refinement of the most common information system orderings that conveys this feature this allows us to reinterpret and generalize some of the literature s key results concerning for instance auditing policies with independent or with correlated signals and monitoring systems where the precision of an added signal is endogenous

dynamic pricing strategies with reference effects we consider the dynamic pricing problem of a monopolist firm in a market with repeated interactions where demand is sensitive to the firm s pricing history consumers have memory and are prone to human decision making biases and cognitive limitations as the firm manipulates prices consumers form a reference price that adjusts as an anchoring standard based on price perceptions purchase decisions are made by assessing prices as discounts or surcharges relative to the reference price in the spirit of prospect theory we prove that optimal pricing policies induce a perception of monotonic prices whereby consumers always perceive a discount respectively surcharge relative to their expectations the effect is that of a skimming or penetration strategy the firm s optimal pricing path is monotonic on the long run but not necessarily at the introductory stage if consumers are loss averse we show that optimal prices converge to a constant steady state price characterized by a simple implicit equation otherwise the optimal policy cycles the range of steady states is wider the more loss averse consumers are steady state prices decrease with the strength of the reference effect and with customers memory all else equal offering lower prices to frequent customers may be suboptimal however if these are less sensitive to price changes than occasional buyers if managers ignore such long term implications of their pricing strategy the model indicates that they will systematically price too low and lose revenue our results hold under very general reference dependent demand models

the economics of career concerns part i comparing information structures many incentives in organizations arise not through explicit formal incentive contracts but rather implicitly through career concerns this paper models career concerns through agents trying to manipulate the market assessment of their future productivity the information flow from current actions to market assessment is therefore crucial in determining the nature of these incentives improved information may either increase or reduce incentives the impact of information provides a major distinction between the explicit and implicit incentives model the paper derives general results on comparisons of information structures which serve as counterparts to the standard results on information structures in the principal agent model sufficient statistic impact of a blackwell garbling comparison of inclusive information structures 1999 the review of economic studies limited

information risk sharing and incentives in agency problems this paper studies the use of information for incentives and risk sharing in agency problems when the principal is risk neutral or the outcome is contractible risk sharing is unnecessary or dealt with by a contract on the outcome in this case information systems are ranked only according to their informativeness about the agent s action when the outcome is noncontractible however the principal has to rely on imperfect information not only for incentives but also for risk sharing under the rst order approach this paper characterizes a problem independent ranking of information systems relaxing gjesdal s 1982 criterion we also nd sucient conditions justifying the rst order approach when output is noncontractible

an inventory model under inflation for deteriorating items with stock dependent consumption rate and partial backlogging shortages abstract in this paper we extend teng j t chang h j dye c y hung c h 2002 an optimal replenishment policy for deteriorating items with time varying demand and partial backlogging operations research letters 30 6 387 393 and hou k l 2006 an inventory model for deteriorating items with stock dependent consumption rate and shortages under inflation and time discounting european journal of operational research 168 2 463 474 by considering an inventory lot size model under inflation for deteriorating items with stock dependent consumption rate when shortages are partial backlogging the proposed model allows for 1 partial backlogging 2 time varying replenishment cycles and 3 time varying shortage intervals consequently the proposed model is in a general framework that includes numerous previous models as special cases we then prove that the optimal replenishment schedule exists uniquely and provide a good estimate for finding the optimal replenishment number furthermore we briefly discuss some special cases of the proposed model related to previous models finally numerical examples to illustrate the solution process and some managerial implications are provided

greater prudence and greater downside risk aversion abstract variation in the degree of downside risk aversion across decision makers has implications for efficient risk sharing however except for small differences in risk preferences there is no index analogous to the arrow pratt index of risk aversion that depends only on local properties of the utility function and indicates the degree of aversion to downside risk a measure that does depend only on local properties of the utility function u the index of prudence p u u is related to downside risk aversion which is indicated by a positive value for u although we show that the degree of prudence is not an accurate indicator of the degree of downside risk aversion we nonetheless demonstrate that a uniform increase in prudence accompanied by a uniform increase decrease in risk aversion is sufficient to indicate greater downside risk aversion provided prudence is greater less than three times the degree of risk aversion

an eoq model for perishable items under stock dependent selling rate and time dependent partial backlogging in the present paper we extend padmanabhan and vrat s model by proposing a time proportional backlogging rate to make the theory more applicable in practice the existence and uniqueness of the solutions of the relevant systems are examined subsequently a numerical example is presented to illustrate the application of developed model

an inventory model with both stock dependent demand rate and stock dependent holding cost rate abstract in this paper we develop an inventory model under a stock dependent demand rate and stock dependent holding cost rate with relaxed terminal conditions shortages are allowed and partially backlogged in the model the purpose of this study is to determine the optimal order quantity and the ending inventory level such that the total profit per unit time is maximized for the retailer we first establish a proper model for a mathematical formulation then we develop several theoretical results and provide the decision maker with an algorithm to determine the optimal solution finally numerical examples are provided to illustrate the solution procedure and a sensitivity analysis of the optimal solution with respect to major parameters is carried out

putting risk in its proper place this paper examines preferences toward particular classes of lottery pairs we show how such concepts as prudence and temperance can be fully characterized by a preference relation over these lotteries if preferences are defined in an expected utility framework with differentiable utility the direction of preference for a particular class of lottery pairs is equivalent to signing the nth derivative of the utility function what makes our characterization appealing is its simplicity which seems particularly amenable to experimentation

liability insurance under the negligence rule we analyze the e ciency properties of the negligence rule with liability insurance when the tort feasor s behavior is imperfectly observable both by the insurer and the court e ciency is shown to depend on the extent to which the evidence is informative on the evidentiary standard for nding negligence and on whether insurance contracts can condition directly on the same evidence as used by courts to assess behavior when evidence is not directly contractible the negligence rule with compensatory damages is generally ine cient

empirical generalizations from reference price research considerable theoretical justification for consumers use of psychological reference points exists from the research literature from a managerial perspective one of the most important applications of this concept is reference price an internal standard against which observed prices are compared in this paper we propose three empirical generalizations that are well supported in the marketing literature first there is ample evidence that consumers use reference prices in making brand choices second the empirical results on reference pricing also support the generalization that consumers rely on past prices as part of the reference price formation process third consistent with other research on loss aversion consumers have been found to be more sensitive to losses i e observed prices higher than reference prices than gains we also propose topics for further research on reference prices

optimal monitoring policies in agencies this article considers a principal agent problem in which the principal has access to a costly monitoring technology that can be used to acquire additional information about the agent s actions subsequent to observing the agent s output although randomized monitoring policies are feasible we show that in a variety of contexts optimal monitoring policies are deterministic and lower tailed that is there exists some critical level of output such that further investigation of the agent s actions occurs if and only if output falls below this critical level

a note on economically optimal performance evaluation and control systems the optimality of two tailed investigations the cost variance investigation problem has been modeled in a multiperson setting by baiman and demski bd 1980a 1980b their results include the pareto optimality of one tailed investigations of costs wherein either very large or very small variances but not both should be investigated by the principal one of the sufficient conditions for their result was that the agent have a utility function that belongs to the hyperbolic absolute risk aversion hara class while this class is rich incorporating power exponential and logarithm utility functions different functional forms may imply the optimality of two tailed investigations the purpose of this paper is to derive conditions under which two tailed investigations are optimal within their model assuming two non hara utility functions for the agent in the next section i provide a brief description of the bd 1980b model the hara assumption the optimal investigation rule and the optimal investigation region this provides a basis for comparing results derived when a specific non hara utility function is assumed in section 3 i substitute two non hara agent utility functions for the hara form

a model for optimizing retail space allocations the allocation of scarce shelf space among competing products is a central problem in retailing space allocation affects store profitability through both the demand function where both main and cross space elasticities have to be considered and through the cost function procurement carrying and out of stock costs a model is developed which uniquely incorporates both effects a case study is used to estimate the parameters and the problem is solved within a geometrical programming framework an extensive comparison with alternative procedures suggests this general model leads to significantly different allocation rules and superior profit performance

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

conditional monitoring policy under moral hazard this paper extends the previous research on conditional monitoring by allowing the principal to choose the level of monitoring investment and by finding the properties of an interior optimal monitoring policy which is not of a bang bang nature we show that under a concave monitoring technology the optimal monitoring investment is decreasing in the observed outcome and lower tailed in a variety of contexts

explicit solutions of optimization models and differential games with nonsmooth asymmetric reference price effects models in marketing with asymmetric reference effects lead to nonsmooth optimization problems and differential games which cannot be solved using standard methods in this study we introduce a new method for calculating explicitly optimal strategies open loop equilibria and closed loop equilibria of such nonsmooth problems application of this method to the case of asymmetric reference price effects with loss aversive consumers leads to the following conclusions 1 when the planning horizon is infinite after an introductory stage the optimal price stabilizes at a steady state price which is slightly below the optimal price in the absence of reference price effects 2 the optimal strategy is the same as in the symmetric case but with the loss parameter determined by the initial reference price 3 competition does not change the qualitative behavior of the optimal strategy 4 adopting an appropriate constant price strategy results in a minute decline in profits

efficient algorithms for the dynamic pricing problem with reference price effect we analyze a finite horizon dynamic pricing model in which demand at each period depends on not only the current price but also past prices through reference prices a unique feature but also a significant challenge in this model is the asymmetry in reference price effect which implies that the underlying optimization problem is nonsmooth and no standard optimization methods can be applied we identify a few key structural properties of the problem which enable us to develop strongly polynomial time algorithms to compute the optimal prices for several plausible scenarios we complement our exact algorithms by proposing an approximation heuristic and provide an upper bound on the optimal objective value finally we conduct numerical experiments to study the optimal price path and demonstrate the value of dynamic pricing when demands are seasonal we further compare numerically one of the exact algorithms with the heuristic and offer managerial suggestions this paper was accepted by yinyu ye optimization

technical note dynamic pricing with gain seeking reference price effects we study a dynamic pricing problem of a firm facing reference price effects at an aggregate demand level where demand is more sensitive to gains than losses we find that even the myopic pricing strategy belongs to one type of discontinuous maps which can exhibit complex dynamics over time our numerical examples show that in general the optimal pricing strategies may not admit any simple characterizations and the resulting reference price price dynamics can be very complicated we then show for a special case that a cyclic skimming pricing strategy is optimal and we provide conditions to guarantee the optimality of high low pricing strategies

the impact of reference price effects on the profitability of price promotions this paper investigates the impact of reference price effects on retailer price promotions and describes why these effects can make promoting profitable first we analyze the profit impact of reference price effects generated by a single period of promotion the promotion can increase profit if the gain that these effects create in the promotion period outweighs the loss they create in future periods we then describe how retailers can estimate the optimal strategy of recurring promotions that maximizes profits from reference price effects over a time horizon examples of such strategies are presented for a retailer selling a national brand of peanut butter we obtain insights into how promotion prices timing and profits are affected by changes in costs interest rates consumers reactions to reference price effects and error in estimates used in the model the retailer s optimal reaction to a trade deal is also examined this strategy involves a phase of increased promotion activity sandwiched between phases of decreased activity we explain these results using the effects described in the single period model

eoq models for perishable items under stock dependent selling rate this paper presents inventory models for perishable items with stock dependent selling rate the selling rate is assumed to be a function of current inventory level and rate of deterioration is taken to be constant under instantaneous replenishment with zero lead time the model incorporates aspects such as complete partial and no backlogging eoq is determined for maximizing the total profit in each of the situations the models developed are illustrated through numerical examples and sensitivity analysis is reported

stack them high let em fly lot sizing policies when inventories stimulate demand in some retail contexts stocking large quantities of inventory may not only improve service levels but can also stimulate demand for products having demand rates that increase with inventory levels we analyze the effect of stocking decisions on firm profitability to develop managerial insights regarding the structure of the optimal inventory policy and to understand how this policy differs from traditional approaches when inventories stimulate demand iteratively applying the standard economic order quantity eoq model by setting the demand rate parameter equal to the observed average demand rate in prior cycles yields an equilibrium order quantity that is robust to demand parameter misestimation but is suboptimal the profit maximizing policy orders larger quantities and can replenish inventory even before on hand stock fully depletes using an extension of a standard inventory dependent demand model from the literature we first provide a convenient characterization of products that require early replenishment we demonstrate that the optimal cycle time is largely governed by the conventional trade off between ordering and holding costs whereas the reorder point relates to a promotions oriented cost benefit perspective we show that the optimal policy yields significantly higher profits than cost based inventory policies underscoring the importance of profit driven inventory management

testing for prudence and skewness seeking numerous theoretical predictions such as precautionary saving or preventive behavior have been derived for prudent decision makers further prudence can be characterized as downside risk aversion and plays a key role in preference for skewness we use a simple experimental method to test for prudence and skewness preference in the laboratory and compare the two to this end we introduce a novel graphical representation of compound lotteries that is easily accessible to subjects and test it for robustness using a factorial design prudence is observed on the aggregate and individual level we find that prudence does not boil down to skewness seeking we further provide some theoretical explanations for this result this paper was accepted by peter wakker decision analysis

introducing convexity into optimal compensation contracts abstract we study when it is appropriate to add a convex component such as stock options to an optimal managerial compensation contract we show that convexity is introduced when managers have moderate levels of relative risk aversion and decreasing absolute risk aversion in addition we study how convexity is affected as the distribution of outcomes becomes more skewed toward low outcomes here we show that while convexity increases when skewness is increased without regard to the effect on mean stock price the opposite effect results when increases in skewness leave the mean stock price unchanged

optimal joint dynamic pricing advertising and inventory control model for perishable items with psychic stock effect abstract in this study a joint pricing advertising and inventory control problem will be investigated for a firm selling perishable products with psychic stock effect the proposed problem is analyzed in the deterministic multi period setting in which demand at each period depends on not only the amount of inventory displayed and advertising goodwill affected by the firm s current and past advertising efforts but also selling price and freshness index the objective is to determine the optimal pricing advertising and psychic stock strategies maximizing the discount total profit over the infinite planning horizon our theoretical results prove that the firm would adopt a static pricing strategy and then demonstrate that the optimal paths of the advertising goodwill and psychic stock can be determined uniquely we also show that the convergence of the advertising goodwill towards its equilibrium is from above or below depending on the relative location of the initial stock of advertising goodwill with respect to the unique equilibrium stock of advertising goodwill moreover a set of structural properties is developed to explore the relationships among the optimal decisions finally the concluding remarks and suggestions will be provided for future studies

an analysis of the principal agent problem most analyses of the principal agent problem assume that the principal chooses an incentive scheme to maximize expected utility subject to the agent s utility being at a stationary point an important paper of mirrlees has shown that this approach is generally invalid we present an alternative procedure if the agent s preferences over income lotteries are independent of action we show that the optimal way of implementing an action by the agent can be found by solving a convex programming problem we use this to characterize the optimal incentive scheme and to analyze the determinants of the seriousness of an incentive problem

dynamic pricing with loss averse consumers and peak end anchoring we study the dynamic pricing implications of a new behaviorally motivated reference price mechanism based on the peak end memory mode this model suggests that consumers anchor on a reference price that is a weighted average of the lowest and most recent prices loss averse consumers are more sensitive to perceived losses than gains relative to this reference price we find that a range of constant pricing policies is optimal for the corresponding dynamic pricing problem this range is wider the more consumers anchor on lowest prices and it persists when buyers are loss neutral in contrast with previous literature in a transient regime the optimal pricing policy is monotone and converges to a steady state price which is lower the more extreme and salient the low price anchor is our results suggest that behavioral regularities such as peak end anchoring and loss aversion limit the benefits of varying prices and caution that the adverse effects of deep discounts on the firm s optimal prices and profits might be more enduring than previous models predict

precautionary saving in the small and in the large the theory of precautionary saving is shown to be isomorphic to the arrow pratt theory of risk aversion making possible the application of a large body of knowledge about risk aversion to precautionary saving and more generally to the theory of optimal choice under risk in particular a measure of the strength of the precautionary saving motive analogous to the arrow pratt measure of risk aversion is used to establish a number of new propositions about precautionary saving and to give a new interpretation of the dreze modigliani substitution effect copyright 1990 by the econometric society

on the job search in a recession this paper is concerned with the behavious of one component of employee job search in one local labour market during a period of severe recession the paper focuses on the relationship between market conditions and the number of employees using the services of employment offices and jobcentres in analysing this relationship over time the paper stresses the need to adopt a flow approach in such empirical studies of the labour market often as in this case explanatory variables can affect inflows and outflows to labour market stocks in different directions and misleading conclusions may therefore be drawn if only the traditional stock analysis is conducted a further concern of the paper is to examine whether the relationship between market conditions and job search differs between male and female employees