
on Utility Models and Prospect Theory 
Issue of 2020‒09‒14
eighteen papers chosen by 
By:  Willy Kamdem (Université de Douala); Willy Domtchueng Kamdem (Université de Douala); David Kamdem (Université de Dschang); Louis Aimé Fono (Université de Douala) 
Abstract:  In this paper, our main objective is to show that the determination of the optimal hedge ratio for a raw material producer, who is submitted to income risk, depends on the type of its utility function. More precisely, we maximize the expected utility of wealth for the following four utility functions : quadratic, exponential, power and expopower. We then derive an explicit formula of the optimal hedge ratio when using the first two functions and an implicit function when the agent's preferences are modeled by power or expopower utility functions. The results obtained are then applied to data on quantity and prices collected from the NCCB and ICCO from 1980 to 2013. The implementation with some Matlab programs provides the estimated value of the optimal hedge ratio for a Cameroonian cocoa producer around 80% for quadratic and exponential utility functions, and 87.9% for power utility and between 50% and 65% for the expopower utility function. 
Date:  2020 
URL:  http://d.repec.org/n?u=RePEc:hal:journl:hal02922890&r=all 
By:  Faruk Gul (Princeton University); Wolfgang Pesendorfer (Princeton University) 
Abstract:  A collective choice problem is a finite set of social alternatives and a finite set of economic agents with vNM utility functions. We associate a public goods economy with each collective choice problem and establish the existence and efficiency of (equal income) Lindahl equilibrium allocations. We interpret collective choice problems as cooperative bargaining problems and define a setvalued solution concept, {\it the equitable solution} (ES). We provide axioms that characterize ES and show that ES contains the Nash bargaining solution. Our main result shows that the set of ES payoffs is the same a the set of Lindahl equilibrium payoffs. We consider two applications: in the first, we show that in a large class of matching problems without transfers the set of Lindahl equilibrium payoffs is the same as the set of (equal income) Walrasian equilibrium payoffs. In our second application, we show that in any discrete exchange economy without transfers every Walrasian equilibrium payoff is a Lindahl equilibrium payoff of the corresponding collective choice market. Moreover, for any cooperative bargaining problem, it is possible to define a set of commodities so that the resulting economy's utility possibility set is that bargaining problem {\it and} the resulting economy's set of Walrasian equilibrium payoffs is the same as the set of Lindahl equilibrium payoffs of the corresponding collective choice market. 
Date:  2020–08 
URL:  http://d.repec.org/n?u=RePEc:arx:papers:2008.09932&r=all 
By:  Hackethal, Andreas; Kirchler, Michael; Laudenbach, Christine; Razen, Michael; Weber, Annika 
Abstract:  Incentivized experiments in which individuals receive monetary rewards according to the outcomes of their decisions are regarded as the gold standard for preference elicitation in experimental economics. These taskrelated real payments are considered necessary to reveal subjects' "true preferences". Using a systematic, largesample approach with three subject pools of private investors, professional investors, and students, we test the effect of taskrelated monetary incentives on risk preferences elicited in four standard experimental tasks. We find no systematic differences in behavior between subjects in the incentivized and nonincentivized regimes. We discuss implications for academic research and for applications in the field. 
Keywords:  Experimental Economics,Incentives,Risk Aversion,Risk Preferences 
JEL:  C91 D01 D81 
Date:  2020 
URL:  http://d.repec.org/n?u=RePEc:zbw:safewp:286&r=all 
By:  Isager, Peder Mortvedt (Eindhoven University of Technology); van Aert, Robbie Cornelis Maria; Bahník, Štěpán (University of Economics, Prague); Brandt, Mark John (Tilburg University); DeSoto, Kurt Andrew (Association for Psychological Science); GinerSorolla, Roger; Krueger, Joachim; Perugini, Marco; Ropovik, Ivan (University of Presov); van 't Veer, Anna Elisabeth (Leiden University) 
Abstract:  Robust scientific knowledge is contingent upon replication of original findings. However, researchers who conduct replication studies face a difficult problem; there are many more studies in need of replication than there are funds available for replicating. To select studies for replication efficiently, we need to understand which studies are the most in need of replication. In other words, we need to understand which replication efforts have the highest expected utility. In this article we propose a general rule for study selection in replication research based on the replication value of the claims considered for replication. The replication value of a claim is defined as the maximum expected utility we could gain by replicating the claim, and is a function of (1) the value of being certain about the claim, and (2) uncertainty about the claim based on current evidence. We formalize this definition in terms of a causal decision model, utilizing concepts from decision theory and causal graph modeling. We discuss the validity of using replication value as a measure of expected utility gain, and we suggest approaches for deriving quantitative estimates of replication value. 
Date:  2020–09–02 
URL:  http://d.repec.org/n?u=RePEc:osf:metaar:2gurz&r=all 
By:  V. Filipe MartinsDaRocha (LEDa  Laboratoire d'Economie de Dauphine  CNRS  Centre National de la Recherche Scientifique  IRD  Institut de Recherche pour le Développement  Université Paris DauphinePSL, EESP  Sao Paulo School of Economics  FGV  Fundacao Getulio Vargas [Rio de Janeiro]); Rafael Mouallem (EESP  Sao Paulo School of Economics  FGV  Fundacao Getulio Vargas [Rio de Janeiro]) 
Abstract:  We present an axiomatization of the SecondOrder Expected Utility model in the environment of Anscombe and Aumann (1963) where the domain of the preference relation is the set of lotteries over all acts whose prize are lotteries. We replace the axiom of reversal of order in compound lotteries (Assumption 1 in Anscombe and Aumann (1963)) by an extension of monotonicity in the prizes (Assumption 2 in Anscombe and Aumann (1963)) that is a strengthening of the Dominance axiom introduced by Seo (2009). This extends the contributions of Grant et al. (2009) by allowing for a general representation result without restricting the decision maker's attitude towards subjective uncertainty. 
Date:  2020–08–26 
URL:  http://d.repec.org/n?u=RePEc:hal:wpaper:hal02922263&r=all 
By:  Dilip Ravindran; Zhihan Cui 
Abstract:  We study a Bayesian Persuasion game with multiple senders employing conditionally independent experiments. Senders have zerosum preferences over what information is revealed. We characterize when a set of states cannot be pooled in any equilibrium, and in particular, when the state is (fully) revealed in every equilibrium. The state must be fully revealed in every equilibrium if and only if sender utility functions are sufficiently nonlinear. In the binarystate case, the state is fully revealed in every equilibrium if and only if some sender has nontrivial preferences. Our takeaway is that `most' zerosum sender preferences result in full revelation. 
Date:  2020–08 
URL:  http://d.repec.org/n?u=RePEc:arx:papers:2008.08517&r=all 
By:  Ashley Davey; Harry Zheng 
Abstract:  This paper proposes two algorithms for solving stochastic control problems with deep reinforcement learning, with a focus on the utility maximisation problem. The first algorithm solves Markovian problems via the Hamilton Jacobi Bellman (HJB) equation. We solve this highly nonlinear partial differential equation (PDE) with a second order backward stochastic differential equation (2BSDE) formulation. The convex structure of the problem allows us to describe a dual problem that can either verify the original primal approach or bypass some of the complexity. The second algorithm utilises the full power of the duality method to solve nonMarkovian problems, which are often beyond the scope of stochastic control solvers in the existing literature. We solve an adjoint BSDE that satisfies the dual optimality conditions. We apply these algorithms to problems with power, log and nonHARA utilities in the BlackScholes, the Heston stochastic volatility, and path dependent volatility models. Numerical experiments show highly accurate results with low computational cost, supporting our proposed algorithms. 
Date:  2020–08 
URL:  http://d.repec.org/n?u=RePEc:arx:papers:2008.11757&r=all 
By:  Kévin Bernard (SMART  Structures et Marché Agricoles, Ressources et Territoires  INRAE  Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement  AGROCAMPUS OUEST  Institut Agro  Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement); Aurélie Bonein (CREM  Centre de recherche en économie et management  UNICAEN  Université de Caen Normandie  NU  Normandie Université  UR1  Université de Rennes 1  UNIVRENNES  Université de Rennes  CNRS  Centre National de la Recherche Scientifique); Douadia Bougherara (CEEM  Centre d'Economie de l'Environnement  Montpellier  FRE2010  UM  Université de Montpellier  CNRS  Centre National de la Recherche Scientifique  Montpellier SupAgro  Institut national d’études supérieures agronomiques de Montpellier  Institut Agro  Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement  INRAE  Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement) 
Abstract:  In communitysupported agriculture (CSA), consumers face a tradeoff between (i.) the desire to support a CSA farmer and obtain environmentallyfriendly goods and (ii.) the risk associated with a longterm commitment. We elicit inequality aversion and risk preferences of a sample of 162 French CSA consumers using incentivized field experiments. We find that CSA consumers are concerned about payoff inequalities. While we obtain evidence of advantageous inequality aversion toward CSA farmers, we also find disadvantageous inequality seeking. We find that CSA consumers are risk averse and loss averse and distort probabilities. We also observe that inequality and risk preferences in the loss domain might complement each other to strengthen consumers' support for CSA farmers. 
Keywords:  Community supported agriculture,Field experiment,Risk aversion,Inequality aversion preferences 
Date:  2020 
URL:  http://d.repec.org/n?u=RePEc:hal:journl:hal02541728&r=all 
By:  Löschel, Andreas; Rodemeier, Matthias; Werthschulte, Madeline 
Abstract:  Nonpecuniary incentives motivated by insights from psychology ("nudges") have been shown to be effective tools to change behavior in a variety of fields. An often unanswered question relevant for public policy is whether these promising interventions can be scaled up. In cooperation with a large public utility in Germany, we develop an energy savings application for mobile phones that can be used by the majority of the population. The app randomizes a goalsetting nudge prompting users to set themselves energy consumption targets. The rollout of the app is promoted by a massmarketing campaign and large financial incentives. Results document low demand for the energy app in the general population and a tightly estimated null effect of the nudge on electricity consumption among app users. A likely mechanism of the null effect is unfavorable selfselection into the app: users are characterized by an already low baseline energy consumption and exhibit none of the behavioral biases that typically explain why goal setting affects behavior. We also find that the nudge significantly decreases the likelihood to use the app over time. Structural estimates imply that the average user is willing to pay 7.41 EUR to avoid the nudge and the intervention would yield substantial welfare losses if implemented nationwide. 
Keywords:  nudging,goal setting,scalability,field experiments,energy,behavioral welfare economics,mobile phones 
JEL:  C93 D91 Q49 
Date:  2020 
URL:  http://d.repec.org/n?u=RePEc:zbw:cawmdp:118&r=all 
By:  Milo Bianchi (TSE  Toulouse School of Economics  UT1  Université Toulouse 1 Capitole  EHESS  École des hautes études en sciences sociales  CNRS  Centre National de la Recherche Scientifique  INRAE  Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement); JeanMarc Tallon (PSE  Paris School of Economics) 
Abstract:  We match administrative panel data on portfolio choices with survey data on preferences over ambiguity. We show that ambiguity averse investors bear more risk, due to a lack of diversification. In particular, they exhibit a form of home bias that leads to higher exposure to the domestic relative to the international stock market. While more sensitive to market factors, their returns are on average higher, suggesting that ambiguity averse investors need not be driven out of the market for risky assets. We also show that these investors rebalance their portfolio more actively and in a contrarian direction relative to past market trends, which allow them to keep their risk exposure relatively constant over time. We discuss these findings in relation to the theoretical literature on portfolio choice under ambiguity. 
Date:  2019–04 
URL:  http://d.repec.org/n?u=RePEc:hal:pseptp:hal02923452&r=all 
By:  Tapan Mitra (Cornell University); Santanu Roy (Southern Methodist University) 
Abstract:  In a general onesector optimal stochastic growth model where the production technology may be globally unproductive or may allow for unbounded growth, a policy function satisfying the RamseyEuler condition may not be optimal even if consumption and investment are continuous and increasing in output. We outline verifiable sufficient conditions for optimality that do not require checking the transversality condition. In addition to continuity (or monotonicity), these conditions impose lower bounds on the propensity to consume. In the case of production functions with multiplicative shocks, the consumption propensity needs to be bounded away from zero; a similar condition is sufficient for more general production functions if the utility function belongs to a restricted class. 
Keywords:  Stochastic growth, optimal economic growth, uncertainty, unbounded growth, unproductive technology, transversality condition, optimality conditions, Euler equation. 
JEL:  C6 D9 O41 
Date:  2020–06 
URL:  http://d.repec.org/n?u=RePEc:smu:ecowpa:2007&r=all 
By:  Jonathan Meng; Feng Fu 
Abstract:  The statistical concept of Gambler's Ruin suggests that gambling has a large amount of risk. Nevertheless, gambling at casinos and gambling on the Internet are both hugely popular activities. In recent years, both prospect theory and labcontrolled experiments have been used to improve our understanding of risk attitudes associated with gambling. Despite theoretical progress, collecting reallife gambling data, which is essential to validate predictions and experimental findings, remains a challenge. To address this issue, we collect publicly available betting data from a \emph{DApp} (decentralized application) on the Ethereum Blockchain, which instantly publishes the outcome of every single bet (consisting of each bet's timestamp, wager, probability of winning, userID, and profit). This online casino is a simple dice game that allows gamblers to tune their own winning probabilities. Thus the dataset is well suited for studying gambling strategies and the complex dynamic of risk attitudes involved in betting decisions. We analyze the dataset through the lens of current probabilitytheoretic models and discover empirical examples of gambling systems. Our results shed light on understanding the role of risk preferences in human financial behavior and decisionmakings beyond gambling. 
Date:  2020–08 
URL:  http://d.repec.org/n?u=RePEc:arx:papers:2008.05653&r=all 
By:  Tom Dvir; Renana Peres; Ze\'ev Rudnick 
Abstract:  When making important decisions such as choosing health insurance or a school, people are often uncertain what levels of attributes will suit their true preference. After choice, they might realize that their uncertainty resulted in a mismatch: choosing a suboptimal alternative, while another available alternative better matches their needs. We study here the overall impact, from a central planner's perspective, of decisions under such uncertainty. We use the representation of Voronoi tessellations to locate all individuals and alternatives in an attribute space. We provide an expression for the probability of correct match, and calculate, analytically and numerically, the average percentage of matches. We test dependence on the level of uncertainty and location. We find overall considerable mismatch even for low uncertainty  a possible concern for policy makers. We further explore a commonly used practice  allocating service representatives to assist individuals' decisions. We show that within a given budget and uncertainty level, the effective allocation is for individuals who are close to the boundary between several Voronoi cells, but are not right on the boundary. 
Date:  2020–08 
URL:  http://d.repec.org/n?u=RePEc:arx:papers:2008.05878&r=all 
By:  Xiaoxue Sherry Gao; Glenn W. Harrison; Rusty Tchernis 
Abstract:  We propose the use of Bayesian estimation of risk preferences of individuals for applications of behavioral welfare economics to evaluate observed choices that involve risk. Bayesian estimation provides more systematic control of the use of informative priors over inferences about risk preferences for each individual in a sample. We demonstrate that these methods make a difference to the rigorous normative evaluation of decisions in a case study of insurance purchases. We also show that hierarchical Bayesian methods can be used to infer welfare reliably and efficiently even with significantly reduced demands on the number of choices that each subject has to make. Finally, we illustrate the natural use of Bayesian methods in the adaptive evaluation of welfare. 
JEL:  C11 D6 D81 
Date:  2020–08 
URL:  http://d.repec.org/n?u=RePEc:nbr:nberwo:27685&r=all 
By:  Ryan Steven Kostiuk 
Abstract:  This is a general competitive analysis paper. A model is presented that describes how an individual with a physical disability, or mobility impairment, would go about utility maximization. These results are then generalized. Subsequently, a selection of disability policies from Canada and the United States are compared to the insights of the model, and it is shown that there are sources of inefficiency in many North American disability support systems. 
Date:  2020–08 
URL:  http://d.repec.org/n?u=RePEc:arx:papers:2008.07650&r=all 
By:  Sebastian O.Schneider (Max Planck Institute for Research on Collective Goods, Bonn); Matthias Sutter (Max Planck Institute for Research on Collective Goods, Bonn; University of Cologne, IZA Bonn, CESifo Munich & University of Innsbruck) 
Abstract:  We use a novel method to elicit and measure higher order risk preferences (prudence and temperance) in an experiment with 658 adolescents. In line with theoretical predictions, we find that higher order risk preferences  particularly prudence  are strongly related to adolescents' field behavior, including their financial decision making, ecofriendly behavior, and health status, including addictive behavior. Most importantly, we show that dropping prudence and temperance from the analysis of students' field behavior would yield largely misleading conclusions about the relation of risk aversion to these domains of field behavior. Thus our paper puts previous work that ignored higher order risk preferences into an encompassing perspective and clarifies which orders of risk preferences can help understand field behavior of adolescents. 
Keywords:  Higher order risk preferences, prudence, temperance, risk aversion, field behavior, adolescents, health, addictive behavior, smartphone addiction, experiment 
JEL:  C93 D81 D91 J13 
Date:  2020–08 
URL:  http://d.repec.org/n?u=RePEc:ajk:ajkdps:026&r=all 
By:  Sutter, Matthias (Max Planck Institute for Research on Collective Goods); Weyland, Michael; Untertrifaller, Anna (University of Cologne); Froitzheim, Manuel (University of Siegen) 
Abstract:  We present the results of a randomized intervention in schools to study how teaching financial literacy affects risk and time preferences of adolescents. Following more than 600 adolescents, aged 16 years on average, over about half a year, we provide causal evidence that teaching financial literacy has significant shortterm and longerterm effects on risk and time preferences. Compared to two different control treatments, we find that teaching financial literacy makes subjects more patient, less presentbiased, and slightly more riskaverse. Our finding that the intervention changes economic preferences contributes to a better understanding of why financial literacy has been shown to correlate systematically with financial behavior in previous studies. We argue that the link between financial literacy and field behavior works through economic preferences. In our study, the latter are also related in a meaningful way to students' field behavior. 
Keywords:  time preferences, risk preferences, randomized intervention, financial literacy, field experiment 
JEL:  C93 D14 I21 
Date:  2020–08 
URL:  http://d.repec.org/n?u=RePEc:iza:izadps:dp13566&r=all 
By:  Raman Kachurka (Faculty of Economic Sciences, University of Warsaw); Michał Wiktor Krawczyk (Faculty of Economic Sciences, University of Warsaw) 
Abstract:  The popularity of lotteries around the world is puzzling. In this paper, we study one factor, which might contribute to this phenomenon, namely lottery “strategies” that could allegedly improve players’ odds. In an online survey of lottery players we find that such strategies are popular and their use is related to more frequent lottery play and a number of personality traits and beliefs about gambling. Systematically searching for websites and books, we amass the largest dataset of lottery strategies in existence. We subsequently analyze their descriptions, categorize them, and investigate how they exploit their target audience’s behavioral biases, including the illusion of control, authority bias, magical thinking, the illusion of correlation, gambler’s fallacy, hot hand fallacy, representativeness heuristic, availability heuristic, and regret aversion. We find that the strategies maintain gamblers’ (false) beliefs about the possibility of controlling lottery results. This exploratory work contributes to a deeper understanding of (problem) gambling and lays the foundation for the design of experiments testing how the specific features of different strategies may interact with beliefs and trigger (excessive) lottery play. 
Keywords:  decision making under risk, lottery strategy, illusion of control 
JEL:  C91 D01 D81 D83 D91 
Date:  2020 
URL:  http://d.repec.org/n?u=RePEc:war:wpaper:202029&r=all 