Naturally Occurring Preferences and Exogenous Laboratory Experiments: A Case Study of Risk Aversion

Does individual behavior in a laboratory setting provide a reliable indicator of behavior in a naturally occurring setting? We consider this general methodological question in the context of eliciting risk attitudes. The controls that are typically employed in laboratory settings, such as the use of abstract lotteries, could lead subjects to employ behavioral rules that differ from the ones they employ in the field. Because it is field behavior that we are interested in understanding, those controls might be a confound in themselves if they result in differences in behavior. We find that the use of artificial monetary prizes provides a reliable measure of risk attitudes when the natural counterpart outcome has minimal uncertainty, but that it can provide an unreliable measure when the natural counterpart outcome has background risk. Behavior tended to be moderately risk averse when artificial monetary prizes were used or when there was minimal uncertainty in the natural nonmonetary outcome, but subjects drawn from the same population were much more risk averse when their attitudes were elicited using the natural nonmonetary outcome that had some background risk. These results are consistent with conventional expected utility theory for the effects of background risk on attitudes to risk.     

THE JOINT DESIGN OF UNEMPLOYMENT INSURANCE AND EMPLOYMENT PROTECTION: A FIRST PASS

Unemployment insurance and employment protection are typically discussed and studied in isolation. In this paper, we argue that they are tightly linked, and we focus on their joint optimal design in a simple model, with risk‐averse workers, risk‐neutral firms, and random shocks to productivity. We show that, in the “first best,”unemployment insurance comes with employment protection—in the form of layoff taxes; indeed, optimality requires that layoff taxes be equal to unemployment benefits. We then explore the implications of four broad categories of deviations from first best: limits on insurance, limits on layoff taxes, ex post wage bargaining, and ex ante heterogeneity of firms or workers. We show how the design must be modified in each case. Finally, we draw out the implications of our analysis for current policy debates and reform proposals, from the financing of unemployment insurance, to the respective roles of severance payments and unemployment benefits.     

Capacity Planning with Financial and Operational Hedging in Low‐Cost Countries

The authors of this article outline a capacity planning problem in which a risk‐averse firm reserves capacities with potential suppliers that are located in multiple low‐cost countries. While demand is uncertain, the firm also faces multi‐country foreign currency exposures. This study develops a mean‐variance model that maximizes the firm's optimal utility and derives optimal utility and optimal decisions in capacity and financial hedging size. The authors show that when demand and exchange rate risks are perfectly correlated, a risk‐averse firm, by using financial hedging, will achieve the same optimal utility as a risk‐neutral firm. In this study as well, a special case is examined regarding two suppliers in China and Vietnam. The results show that if a single supplier is contracted, financial hedging most benefits the highly risk‐averse firm when the demand and exchange rate are highly negatively related. When only one hedge is used, financial hedging dominates operational hedging only when the firm is very risk averse and the correlation between the two exchange rates have become positive. With both theoretical and numerical results, this study concludes that the two hedges are strategic tools and interact each other to maximize the optimal utility.     

Persistent Private Information

This paper studies the design of optimal contracts in dynamic environments where agents have private information that is persistent. In particular, I focus on a continuous‐time version of a benchmark insurance problem where a risk‐averse agent would like to borrow from a risk‐neutral lender to stabilize his utility. The agent privately observes a persistent state variable, typically either income or a taste shock, and he makes reports to the principal. I give verifiable sufficient conditions showing that incentive‐compatible contracts can be written recursively, conditioning on the report and two additional state variables: the agent's promised utility and promised marginal utility of the private state. I then study two examples where the optimal contracts can be solved in closed form, showing how persistence alters the nature of the contract. Unlike the previous discrete‐time models with independent and identically distributed (i.i.d.) private information, the agent's consumption under the contract may grow over time. Furthermore, in my setting the efficiency losses due to private information increase with the persistence of the private information, and the distortions vanish as I approximate an i.i.d. environment.     

TWO-PIECE VON NEUMANN-MORGENSTERN UTILITY FUNCTIONS*

Thirty empirically assessed utility functions on changes in wealth or return on investment were examined for general features and susceptability to fits by linear, power, and exponential functions. Separate fits were made to below-target data and above-target data. The usual “target” was the no-change point. The majority of below-target functions were risk seeking; the majority of above-target functions were risk averse; and the most common composite shape was convex-concave, or risk seeking in losses and risk averse in gains. The least common composite was concave-concave. Below-target utility was generally steeper than above-target utility with a median below-to-above slope ratio of about 4.8. The power and exponential fits were substantially better than the linear fits. Power functions gave the best fits in the majority of convex below-target and concave above-target cases, and exponential functions gave the best fits in the majority of concave below-target and convex above-target cases. Several implications of these results for decision making under risk are mentioned.     

Worry and Risk Perception

Risk perception is sometimes measured by means of judgments about worry, sometimes as perceived risk more directly. However, perceived level of risk calls for a more intellectual judgment and worry tends to refer to emotional reactions. These two are therefore not the same and need not be strongly correlated. Results reported here show that perceived risk and worry are indeed weakly correlated, both for generalized worry and for more specific measures of worry matched with the same hazard as risk ratings. A distinction is suggested between cognitive, abstract hazards and concrete, sensory hazards, with implications for the worry-perceived risk relationship. It was furthermore found by means of cluster analysis that there were groups of subject displaying different dynamics of risk and worry.     

Modeling auditor utility functions

Utility functions for profits and losses are obtained on 14 practicing auditors. Data were elicited through personal interviews with audit partners and seniors. The appropriate utility functions that describe the risk characteristics of the auditors and fit the certainty equivalent responses are found using a general summed exponential function and nonlinear programming to obtain its parameters. The richness of the summed exponential in assuming a variety of utility shapes and its mathematical tractability, for example, in manipulating models makes it attractive for expressing an individual's utility function. Use of the summed exponential mitigates the difficulties in assessing a utility function by simplifying the assessments and circumvents the need for the analyst to decide on the appropriate functional form. The empirical results show, for example, that a firm's seniors are less averse to losses than its partners. With respect to gains, a variety of utility shapes/risk preferences are exhibited with most being risk averse for large sums of money. The implications for an auditing firm are then discussed.     

Ellsberg Revisited: An Experimental Study

An extension to Ellsberg's experiment demonstrates that attitudes to ambiguity and compound objective lotteries are tightly associated. The sample is decomposed into three main groups: subjective expected utility subjects, who reduce compound objective lotteries and are ambiguity neutral, and two groups that exhibit different forms of association between preferences over compound lotteries and ambiguity, corresponding to alternative theoretical models that account for ambiguity averse or seeking behavior.     

Is time consistency compatible with risk aversion?

Managerial decision models applied in operations research, finance, information management, and many other disciplines are typically both dynamic and stochastic. When decisions at different points in time are allowed, the question arises what conditions guarantee the absence of incentives to deviate from the ex ante optimal policy at later dates. We term such a policy time consistent. A well-known result states that additively separable objective functions ensure time consistency under risk neutrality. Unfortunately, this is no longer true when decision makers are risk averse. Then, (much) more restrictive assumptions are needed. The aim of this paper is to provide clear-cut conditions that ensure time consistency in an expected utility framework. Our main findings are twofold: on the one hand, constant absolute risk aversion can guarantee time consistency when final values are under consideration. On the other hand, time consistency and risk aversion are incompatible when intertemporal payments are aggregated by means of net present values.     

LEARNING TO REOPTIMIZE CONSUMPTION AT NEW INCOME LEVELS: A RATIONALE FOR PROSPECT THEORY

This paper provides a theoretical rationale for three experimental results of Prospect Theory: risk preferences are over gains and losses, loss aversion, and diminishing sensitivity. We consider a (boundedly rational) decision maker who does not find her new optimal consumption bundle with certainty when she is faced with a new income level. This alters her indirect utility function and makes her more risk averse at her current reference income level and less risk averse for a range of incomes below her reference income level. (JEL: D11)     

Eliciting Risk and Time Preferences

We design experiments to jointly elicit risk and time preferences for the adult Danish population. Since subjects are generally risk averse, we find that joint elicitation provides estimates of discount rates that are significantly lower than those found in previous studies and more in line with what would be considered as a priori reasonable rates. The statistical specification relies on a theoretical framework that involves a latent trade‐off between long‐run optimization and short‐run temptation. Estimation of this specification is undertaken using structural, maximum likelihood methods. Our main results based on exponential discounting are robust to alternative specifications such as hyperbolic discounting. These results have direct implications for attempts to elicit time preferences, as well as debates over the appropriate domain of the utility function when characterizing risk aversion and time consistency.     

Investigating Heterogeneity in the Characterization of Risks Using Best Worst Scaling

This research proposes and implements a new approach to the elicitation and analysis of perceptions of risk. We use best worst scaling (BWS) to elicit the levels of control respondents believe they have over risks and the level of concern those risks prompt. The approach seeks perceptions of control and concern over a large risk set and the elicitation method is structured so as to reduce the cognitive burden typically associated with ranking over large sets. The BWS approach is designed to yield strong discrimination over items. Further, the approach permits derivation of individual‐level values, in this case of perceptions of control and worry, and analysis of how these vary over observable characteristics, through estimation of random parameter logit models. The approach is implemented for a set of 20 food and nonfood risks. The results show considerable heterogeneity in perceptions of control and worry, that the degree of heterogeneity varies across the risks, and that women systematically consider themselves to have less control over the risks than men.     

Implied Preference for Seismic Design Level and Earthquake Insurance

Seismic risk can be reduced by implementing newly developed seismic provisions in design codes. Furthermore, financial protection or enhanced utility and happiness for stakeholders could be gained through the purchase of earthquake insurance. If this is not so, there would be no market for such insurance. However, perceived benefit associated with insurance is not universally shared by stakeholders partly due to their diverse risk attitudes. This study investigates the implied seismic design preference with insurance options for decisionmakers of bounded rationality whose preferences could be adequately represented by the cumulative prospect theory (CPT). The investigation is focused on assessing the sensitivity of the implied seismic design preference with insurance options to model parameters of the CPT and to fair and unfair insurance arrangements. Numerical results suggest that human cognitive limitation and risk perception can affect the implied seismic design preference by the CPT significantly. The mandatory purchase of fair insurance will lead the implied seismic design preference to the optimum design level that is dictated by the minimum expected lifecycle cost rule. Unfair insurance decreases the expected gain as well as its associated variability, which is preferred by risk-averse decisionmakers. The obtained results of the implied preference for the combination of the seismic design level and insurance option suggest that property owners, financial institutions, and municipalities can take advantage of affordable insurance to establish successful seismic risk management strategies.     

考虑风险总关联的项目风险应对策略选择方法

本文针对考虑风险总关联的项目风险应对策略选择问题,首先结合MACBETH方法以及DEMATEL方法分析项目风险总关联;然后,在考虑项目管理者风险态度的基础上,以最大化项目管理者期望效用为目标构建考虑风险总关联的项目风险应对策略选择优化模型;最后,通过实际案例分析验证所提方法和模型的可行性与有效性,并比较分析了不同关联作用对风险应对决策的影响。结果表明：1）存在使项目管理者期望效用达到最大的最优项目风险应对预算;2）项目管理者的风险态度和对风险关联的关注程度对风险应对策略的选择和项目管理者的期望效用均有影响,在实际项目风险应对决策中均应予以考虑;3）在项目风险应对策略选择过程中,项目管理者不仅要考虑风险之间的直接关联还要重视风险之间的间接关联,而风险之间的积极关联则可以忽略。     

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.     

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。     

MANAGED COMPETITION IN HEALTH INSURANCE

Rising healthcare costs have sparked debate about the best way to provide high‐quality affordable health insurance. We discuss the potential for regulated insurance markets to outperform single‐payer public insurance. We use as an example the private Medicare plans that now provide insurance to almost a third of seniors in the United States. The evidence suggests that private plans can limit costs and potentially appeal to enrollees, and that well‐designed risk adjustment can mitigate market failures due to adverse selection. However, fostering competition between insurers, especially in smaller markets, is difficult. We discuss how future research might illuminate the relative advantages of public and private health insurance.     

我国A股市场的模糊性溢价——基于日内高频数据的分析

基于Izhakian(2020)不确定性概率分布下的预期效用理论框架,本文实证研究了我国A股市场的模糊性溢价问题。利用上证综指的日内高频收益数据估计日收益率分布,以月度内日收益率分布的波动性衡量月度市场模糊性,并对模糊性-风险-收益的权衡关系进行实证检验。结果发现:(1)我国A股市场存在时变的模糊性,其模糊性溢价不总是正数,而是依赖于投资者对市场的预期;(2)模糊性溢价和风险溢价受到市场预期的影响,好的市场预期有正的模糊性溢价(模糊厌恶)和负的风险溢价(风险爱好),不好的市场预期有负的模糊性溢价(模糊爱好)和正的风险溢价(风险厌恶)。这些发现不同于当前文献中的许多结果,可以很好地解释市场中的"追涨杀跌"现象。     

Domain Effects and Financial Risk Attitudes

We investigated whether financial risk preferences are dependent on the financial domain (i.e., the context) in which the risky choice options are presented. Previous studies have demonstrated that risk attitudes change when gambles are framed as gains, losses, or as insurance. Our study explores this directly by offering choices between identical gambles, framed in terms of seven financial domains. Three factors were extracted, explaining 68.6% of the variance: Factor 1 (Positive)—opportunity to win, pension provision, and job salary change; Factor 2 (Positive‐Complex)—investments and mortgage buying; Factor 3 (Negative)—possibility of loss and insurance. Inspection of the solution revealed context effects on risk perceptions across the seven scenarios. We also found that the commonly accepted assumption that women are more risk averse cannot be confirmed with the context structure suggested in this research; however, it is acknowledged that in the students’ population the variance across genders might be considerably less. These results suggest that our financial risk attitude measures may be tapping into a stable aspect of “context dependence” of relevance to real‐world decision making.     

嵌入前景理论的动态风险厌恶套期保值比率模型研究

本文从前景理论视角出发,并考虑风险厌恶的动态性,推导出了嵌入前景理论的动态风险厌恶套期保值比率计算公式.然后以2004年8月20日至2010年6月4日的铜现货与期货交易均价为样本进行实证分析.实证结果表明:空头套保者与多头套保者的风险厌恶水平是不同的,而且在不同市场环境下的风险厌恶水平也不同;不同市场环境和动态风险厌恶对套期保值比率来说是很重要的影响因素,在计算套期保值比率时我们有必要把它们考虑进来.