Experientia Docet: Professionals Play Minimax in Laboratory Experiments

We study how professional players and college students play zero‐sum two‐person strategic games in a laboratory setting. We first ask professionals to play a 2 × 2 game that is formally identical to a strategic interaction situation that they face in their natural environment. Consistent with their behavior in the field, they play very close to the equilibrium of the game. In particular, (i) they equate their strategies' payoffs to the equilibrium ones and (ii) they generate sequences of choices that are serially independent. In sharp contrast, however, we find that college students play the game far from the equilibrium predictions. We then study the behavior of professional players and college students in the classic O'Neill 4 × 4 zero‐sum game, a game that none of the subjects has encountered previously, and find the same differences in the behavior of these two pools of subjects. The transfer of skills and experience from the familiar field to the unfamiliar laboratory observed for professional players is relevant to evaluate the circumstances under which behavior in a laboratory setting may be a reliable indicator of behavior in a naturally occurring setting. From a cognitive perspective, it is useful for research on recognition processes, intuition, and similarity as a basis for inductive reasoning.     

Experimental Evidence Against the Paradigm of Mortality Risk Aversion

This article deals with the question of how societal impacts of fatal accidents can be integrated into the management of natural or man‐made hazards. Today, many governmental agencies give additional weight to the number of potential fatalities in their risk assessments to reflect society's aversion to large accidents. Although mortality risk aversion has been proposed in numerous risk management guidelines, there has been no evidence that lay people want public decisionmakers to overweight infrequent accidents of large societal consequences against more frequent ones of smaller societal consequences. Furthermore, it is not known whether public decisionmakers actually do such overweighting when they decide upon the mitigation of natural or technical hazards. In this article, we report on two experimental tasks that required participants to evaluate negative prospects involving 1–100 potential fatalities. Our results show that neither lay people nor hazard experts exhibit risk‐averse behavior in decisions on mortality risks.     

Preferences for One‐Shot Resolution of Uncertainty and Allais‐Type Behavior

Experimental evidence suggests that individuals are more risk averse when they perceive risk that is gradually resolved over time. We address these findings by studying a decision maker who has recursive, nonexpected utility preferences over compound lotteries. The decision maker has preferences for one‐shot resolution of uncertainty if he always prefers any compound lottery to be resolved in a single stage. We establish an equivalence between dynamic preferences for one‐shot resolution of uncertainty and static preferences that are identified with commonly observed behavior in Allais‐type experiments. The implications of this equivalence on preferences over information systems are examined. We define the gradual resolution premium and demonstrate its magnifying effect when combined with the usual risk premium.     

Consistency of Higher Order Risk Preferences

Risk aversion (a second‐order risk preference) is a time‐proven concept in economic models of choice under risk. More recently, the higher order risk preferences of prudence (third‐order) and temperance (fourth‐order) also have been shown to be quite important. While a majority of the population seems to exhibit both risk aversion and these higher order risk preferences, a significant minority does not. We show how both risk‐averse and risk‐loving behaviors might be generated by a simple type of basic lottery preference for either (1) combining “good” outcomes with “bad” ones, or (2) combining “good with good” and “bad with bad,” respectively. We further show that this dichotomy is fairly robust at explaining higher order risk attitudes in the laboratory. In addition to our own experimental evidence, we take a second look at the extant laboratory experiments that measure higher order risk preferences and we find a fair amount of support for this dichotomy. Our own experiment also is the first to look beyond fourth‐order risk preferences, and we examine risk attitudes at even higher orders.     

供需不确定条件下基于CVaR的零售商库存鲁棒优化模型

在经典报童模型下考虑供应和需求不确定性,研究了具有风险厌恶的零售商库存优化问题。采用条件风险值（CVaR）对库存绩效进行度量,构建了基于CVaR的零售商库存运作模型;在此基础上,考虑上游供应商供货能力和下游市场需求不确定性,并采用一系列未知概率的离散情景进行描述,给出了供需不确定条件下基于CVaR的零售商库存鲁棒优化模型。进一步,采用区间不确定集对未知情景概率进行建模,给出了基于最大最小准则的鲁棒对应模型。针对同时考虑供需不确定性导致的模型非凸性,采用标准对偶理论将其转化为易于求解的数学规划问题。最后,通过数值计算分析了不同风险厌恶程度和不确定性程度对零售商库存决策以及库存绩效的影响。结果表明,供需不确定性的存在虽然会导致零售商库存绩效损失,但损失值较小。特别地,依据文中模型得到的鲁棒库存策略在多数情况下能够保证零售商获得更优的库存绩效。此外,不确定性和风险厌恶程度的增加虽然会影响零售商库存决策和运作绩效,但在同等风险厌恶态度下,随着不确定性程度的增加,基于文中方法得到的鲁棒库存策略仍能确保零售商获得理想的库存绩效,表明文中所建模型在应对供需不确定性方面具有良好的鲁棒性。     

Leadership,information, and risk attitude: A game theoretic approach

This paper experimentally investigates how risk attitudes mitigate leadership effectiveness in a collective setting with projects that exhibit both free riding and coordination problems. We take two novel approaches: 1) the introduction of economic game theory to psychological studies of leadership, and 2) the application of the leadership ontology of Drath et al. (2008) as a cross-disciplinary integrative framework. Leadership here is focused on the presence or absence of direction, alignment, and commitment as well as antecedent beliefs and practices that are held within a collective (for us, our experimental participants). Our leadership context is stripped down to very minimal conditions: three group members, an investment decision, and the introduction of information regarding group members' attitudes toward risk. We find that the mere mention of risk attitude (whether risky or risk averse) undermines leadership effectiveness in mitigating free riding for our 420 experimental participants. Our study's primary implications lie in the application of game theory methodology to the psychological study of leadership, the introduction of relevant individual difference constructs to economic studies of leadership, and the advocation of the Drath et al. (2008) framework as a helpful integrative mechanism for interdisciplinary leadership research.     

Precautionary Bidding in Auctions

We analyze bidding behavior in auctions when risk‐averse buyers bid for a good whose value is risky. We show that when the risk in the valuations increases, DARA bidders will reduce their bids by more than the appropriate increase in the risk premium. Ceteris paribus, buyers will be better off bidding for a more risky object in first price, second price, and English auctions with affiliated common (interdependent) values. This “precautionary bidding” effect arises because the expected marginal utility of income increases with risk, so buyers are reluctant to bid so highly. We also show that precautionary bidding behavior can make DARA bidders prefer bidding in a common values setting to bidding in a private values one when risk‐neutral or CARA bidders would be indifferent. Thus the potential for a “winner's curse” can be a blessing for rational DARA bidders.     

RISK AVERSION AND EXPECTED UTILITY THEORY: AN EXPERIMENT WITH LARGE AND SMALL STAKES

We employ a novel data set to estimate a structural econometric model of the decisions under risk of players in a game show where lotteries present payoffs in excess of half a million dollars. The decisions under risk of players in the presence of large payoffs allow us to estimate the parameters of the curvature of the von Neumann–Morgenstern utility function—not only locally, as in previous studies in the literature, but also globally. Our estimates of relative risk aversion indicate that a constant relative risk aversion parameter of about 1 captures the average of the sample population. We also find that individuals are practically risk neutral at small stakes and risk averse at large stakes—a necessary condition, according to Rabin’s calibration theorem, for expected utility to provide a unified account of individuals’ attitudes toward risk. Finally, we show that for lotteries characterized by substantial stakes, nonexpected utility theories fit the data equally as well as expected utility theory.     

RISK AVERSION,WEALTH, AND BACKGROUND RISK

We use household survey data to construct a direct measure of absolute risk aversion based on the maximum price a consumer is willing to pay for a risky security. We relate this measure to consumer's endowments and attributes and to measures of background risk and liquidity constraints. We find that risk aversion is a decreasing function of the endowment—thus rejecting CARA preferences. We estimate the elasticity of risk aversion to consumption at about 0.7, below the unitary value predicted by CRRA utility. We also find that households' attributes are of little help in predicting their degree of risk aversion, which is characterized by massive unexplained heterogeneity. We show that the consumer's environment affects risk aversion. Individuals who are more likely to face income uncertainty or to become liquidity constrained exhibit a higher degree of absolute risk aversion, consistent with recent theories of attitudes toward risk in the presence of uninsurable risks. (JEL: D1, D8)     

Channel coordination in supply chains with agents having mean-variance objectives

This paper investigates the issues of channel coordination in a supply chain when the individual supply chain decision makers take mean-variance (MV) objectives. We propose an MV formulation to capture the risk preference of each individual supply chain agent. Through the studies of a wholesale pricing policy, we find that the incorporation of risk concerns into the setting of supply chain coordinating policy is very important because it can substantially affect the achievability of channel coordination. It is also interesting to find that channel coordination depends on how big the net difference between the risk preferences of the supply chain coordinator and the retailer is. Thus, a slightly risk averse supply chain coordinator can successfully coordinate with a slightly risk prone retailer but not a very risk averse retailer. Numerical analyses are included and managerial insights are developed.     

资金紧缺型企业规避风险时的决策行为分析

现实中许多企业（尤其中小企业）往往需要通过各种融资手段获取资金以支持其日常运作。融资在为企业带来运作资金的同时,也增加了企业的财务风险。通过在经典报童模型中引入企业的财务状态,综合分析了企业的最优运作决策与财务决策,以及企业决策者对待风险的态度（风险中性、损失规避等）对其决策行为的影响。研究发现,与风险中性型零售商相比,在一定条件下,损失规避型零售商能够在不降低企业期望收益的前提下降低企业的财务风险。     

Technical Note – Pricing Below Cost Under Exchange‐Rate Risk

Pricing below cost is often classified as “dumping” in international trade and as “predatory pricing” in local markets. It is legally prohibited from practice because of earlier findings that it leads to predatory behavior by either eliminating competition or stealing market share. This study shows that a stochastic exchange rate can create incentives for a profit‐minded monopoly firm to set price below marginal cost. Our result departs from earlier findings because the optimal pricing decision is based on a rational behavior that does not exhibit any malicious intent against the competition to be considered as violating anti‐trust laws. The finding is a robust result, because our analysis demonstrates that this behavior occurs under various settings such as when the firm (i) is risk‐averse, (ii) can postpone prices until after exchange rates are realized, (iii) is capable of manufacturing in multiple countries, and (iv) operates under demand uncertainty in addition to the random exchange rate.     

Testing and Characterizing Properties of Nonadditive Measures Through Violations of the Sure‐Thing Principle

In expected utility theory, risk attitudes are modeled entirely in terms of utility. In the rank‐dependent theories, a new dimension is added: chance attitude, modeled in terms of nonadditive measures or nonlinear probability transformations that are independent of utility. Most empirical studies of chance attitude assume probabilities given and adopt parametric fitting for estimating the probability transformation. Only a few qualitative conditions have been proposed or tested as yet, usually quasi‐concavity or quasi‐convexity in the case of given probabilities. This paper presents a general method of studying qualitative properties of chance attitude such as optimism, pessimism, and the “inverse‐S shape” pattern, both for risk and for uncertainty. These qualitative properties can be characterized by permitting appropriate, relatively simple, violations of the sure‐thing principle. In particular, this paper solves a hitherto open problem: the preference axiomatization of convex (“pessimistic” or “uncertainty averse”) nonadditive measures under uncertainty. The axioms of this paper preserve the central feature of rank‐dependent theories, i.e. the separation of chance attitude and utility.     

Fairness in Selling to the Newsvendor

This paper studies the impact of fairness concerns on supply chain performance (SCP) in the two‐party newsvendor setting. We extend prior fairness analysis to a wide range of demand distributions, and also allow the degree and definition of fairness to assume a broader range of preferences than those in prior literature. Contrary to prior literature, we find that if the retailer's ideal allocation to the supplier is not sufficiently large, regardless of demand variability, a fair‐minded retailer makes no difference to system efficiency when facing a traditional profit‐maximizing supplier. Only when the retailer's ideal allocation to the supplier is above a threshold can the retailer's fairness concern improve the system efficiency for sufficiently high demand uncertainty. In order for the retailer's fairness concern to improve expected profits of both parties compared to the traditional supply chain case (win–win), the demand uncertainty cannot be too low, the retailer is not very averse to disadvantageous inequity, and his ideal allocation to the supplier is within a specific range. If only the supplier is concerned for fairness, the results range from worsening to improving (but not coordinating) the system and a win–win situation is impossible. Finally, when both the supplier and retailer are fair‐minded, SCP is improved unless both parties prefer to allocate small portions of system profit to the other. Again, win–win will be achieved only when the demand uncertainty is sufficiently high, the retailer's ideal allocation is within a certain range, and he is not very averse to disadvantageous inequity.     

竞争和风险规避对双渠道供应链决策的影响

针对具有风险规避特征的制造商和零售商组成的双渠道供应链,分析非竞争环境下双渠道供应链中产品在不同渠道的最优定价;研究存在替代产品竞争的市场环境下,原双渠道供应链中风险规避型参与者的定价决策以及替代产品决策者的最优定价;探讨双渠道中参与者的风险规避度对其定价决策的影响,分析表明随着参与者风险规避度的增大,供应链中各渠道的最优定价都减小,制造商和零售商的期望收益也随之减小;借助数值分析,研究竞争对风险规避型参与者决策的影响,并对模型中各关键参数进行敏感度分析。研究结果表明,一定程度的市场竞争会减弱参与者风险规避特征对其决策产生的影响,提高参与者的定价,增加参与者的收益。在参数的敏感度分析中,用来反映替代产品对双渠道上产品影响的交叉敏感度的增大会提高双渠道上产品的定价,也增加风险规避型参与者的收益。     

Risk,Ambiguity, and Decision Choice: Some Additional Evidence*

This paper extends prior research by jointly assessing the roles of risk attitude and tolerance for ambiguity in predicting choice. An experiment examined the effects of these variables on decisions made in four different scenarios. The four scenarios (treatment combinations) were generated by manipulating risk and ambiguity into two levels (high and low). The context was defined in terms of a sample size selection problem. The second issue explored was the effect of attitudes toward risk and ambiguity on decision confidence. The results indicate that (1) both risk attitude and ambiguity intolerance determined choice behavior, (2) the roles of these individual attitudes depend on the levels of the two treatment variables of risk and ambiguity, (3) the presence of ambiguity accentuates the perception of risk in individual subjects, and (4) decision makers who are less risk averse, and have more tolerance for ambiguity, display greater confidence in their choice. The paper discusses some of the managerial implications of the results.     

Risk Attitude,Ambiguity Intolerance and Decision Making: An Exploratory Investigation*

Although recent research has identified attitudes towards ambiguity and risk to be important determinants of choice behavior [8] [18], no prior work jointly assessed the roles of both attitudes. We conducted a laboratory experiment using a real decision scenario and conducted exploratory analyses of the relationship between attitudes towards risk and ambiguity and the decision taken by the subjects. The results support the prediction that attitudes towards both risk and ambiguity affect choice behavior. Our exploratory analyses indicate interesting avenues for future research, including an examination of the decision process itself.     

基于策略消费者行为和市场细分的联合定价库存策略

策略消费者的行为越来越受到厂商的重视,本文在假设消费者为风险规避型,对商品评价异质,考虑策略消费者和非策略消费者并存的细分市场上,比较两阶段定价和单一定价的优劣,研究限量策略实施的条件,进一步扩展至厂商能同时决定库存和价格的情况。研究表明消费者为风险规避型时,两阶段定价策略优于单一定价策略;策略消费者所占比例越大,消费者风险规避程度越高,第二阶段价格折扣越大,厂商越青睐限量的两阶段定价策略。此外,制定适度的价格折扣才会使厂商增加利润,过度的折扣竞争对厂商和消费者都没有好处。     

THE MYSTERY OF THE PRINTING PRESS: MONETARY POLICY AND SELF‐FULFILLING DEBT CRISES

We study the conditions under which unconventional (balance sheet) monetary policy can rule out self‐fulfilling sovereign default in a model with optimizing but discretionary fiscal and monetary policymakers. When purchasing sovereign debt, the central bank effectively swaps risky government paper for monetary liabilities only exposed to inflation risk, thus yielding a lower interest rate. As central bank purchases reduce the (ex ante) costs of debt, we characterize a critical threshold beyond which, absent fundamental fiscal stress, the government strictly prefers primary surplus adjustment to default. Because default may still occur for fundamental reasons, however, the central bank faces the risk of losses on sovereign debt holdings, which may generate inefficient inflation. We show that these losses do not necessarily undermine the credibility of a backstop, nor the monetary authorities' ability to pursue its inflation objectives. Backstops are credible if either the central bank enjoys fiscal backing or fiscal authorities are sufficiently averse to inflation. (JEL: E58, E63, H63)     

Tolerance for Failure and Incentives for Collaborative Innovation

Most organizations employ collaborative teams to manage innovation projects. Although the use of collaborative innovation teams is a good starting point, an organization's ability to innovate can be enhanced by managing risk‐taking behavior through monetary incentive schemes and through an organizational culture that tolerates failure. This article reports the results of two controlled experiments aimed at understanding how tolerance for failure and incentives impact the decisions of individuals engaged in a collaborative innovation initiative. A key element of our experiments is the notion of endogenous project risk, which we define as the explicit link between resources allocated to a project and the likelihood of project success. We observe that when penalties are low, the amount of risk an individual assumes is fairly insensitive to the rewards that are offered. In an analogous result, when individuals make decisions alone (rather than collaboratively), higher tolerance for failure does little to increase the amount of risk an individual is willing to take. Taken together, these results highlight the importance of implicit incentives that are created as a result of project and organizational characteristics.