Neuroeconomics, Illustrated by the Study of Ambiguity-Aversion
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Neuroeconomics: the Neurobiology of Decision-Making
Neuroeconomics: The Neurobiology of Decision-Making Ifat Levy Section of Comparative Medicine Department of Neurobiology Interdepartmental Neuroscience Program Yale School of Medicine Harnessing eHealth and Behavioral Economics for HIV Prevention and Treatment April 2012 Overview • Introduction to neuroeconomics • Decision under uncertainty – Brain and behavior – Adolescent behavior – Medical decisions Overview • Introduction to neuroeconomics • Decision under uncertainty – Brain and behavior – Adolescent behavior – Medical decisions Neuroeconomics NeuroscienceNeuronal MentalPsychology states “asEconomics if” models architecture Abstraction Neuroeconomics Behavioral Economics Neuroscience Psychology Economics Abstraction Neuroscience functional MRI VISUAL STIMULUS functional MRI: Blood Oxygenation Level Dependent signals Neural Changes in oxygen Change in activity consumption, blood flow concentration of and blood volume deoxyhemoglobin Change in Signal from each measured point in space at signal each point in time t = 1 t = 2 t = 3 t = 4 t = 5 t = 6 dorsal anterior posterior lateral ventral dorsal anterior medial posterior ventral Anterior The cortex Cingulate Cortex (ACC) Medial Prefrontal Cortex (MPFC) Posterior Cingulate Cortex (PCC) Ventromedial Prefrontal Cortex (vMPFC) Orbitofrontal Cortex (OFC) Sub-cortical structures fMRI signal • Spatial resolution: ~3x3x3mm3 Low • Temporal resolution: ~1-2s Low • Number of voxels: ~150,000 High • Typical signal change: 0.2%-2% Low • Typical noise: more than the signal… High But… • Intact human -
The Design of Ambiguous Mechanisms∗
The Design of Ambiguous Mechanisms∗ Alfredo Di Tillio y Nenad Kos z Matthias Messner x Bocconi University, Bocconi University, Bocconi University, IGIER IGIER IGIER, CESifo July 26, 2014 Abstract This paper explores the sale of an object to an ambiguity averse buyer. We show that the seller can increase his profit by using an ambiguous mechanism. That is, the seller can benefit from hiding certain features of the mechanism that he has committed to from the agent. We then characterize the profit maximizing mechanisms for the seller and characterize the conditions under which the seller can gain by employing an ambiguous mechanism. JEL Code: C72, D44, D82. Keywords: Optimal mechanism design, Ambiguity aversion, Incentive compatibility, In- dividual rationality. ∗We thank the editor and three anonymous referees for their insightful and constructive comments that have helped us to greatly improve the paper. For helpful discussions and comments we also thank Simone Cerreia- Vioglio, Eddie Dekel, Georgy Egorov, Eduardo Faingold, Itzhak Gilboa, Matthew Jackson, Alessandro Lizzeri, George Mailath, Massimo Marinacci, Stephen Morris, Frank Riedel, Larry Samuelson, Martin Schneider, Ilya Segal, seminar participants at Northwestern University, Universitat Autonoma de Barcelona, Universitat Pompeu Fabra, Yale University, participants of UECE Lisbon 2011, Workshop on Ambiguity Bonn 2011, and Arne Ryde Workshop on Dynamic Princing: A Mechanism Design Perspective 2011. yDept. of Econ. & IGIER, Bocconi University; e-mail: [email protected] zDept. -
Ambiguity and Social Interaction∗
Ambiguity and Social Interaction∗ J¨urgen Eichberger David Kelsey Alfred Weber Institut, Department of Economics, Universit¨at Heidelberg. University of Exeter. Burkhard C. Schipper† Department of Economics, University of California, Davis. 30th March 2007 Abstract We present a non-technical account of ambiguity in strategic games and show how it may be applied to economics and social sciences. Optimistic and pessimistic responses to ambiguity are formally modelled. We show that pessimism has the effect of increasing (de- creasing) equilibrium prices under Cournot (Bertrand) competition. In addition the effects of ambiguity on peace-making are examined. It is shown that ambiguity may select equilibria in coordination games with multiple equilibria. Some comparative statics results are derived for the impact of ambiguity in games with strategic complements. Keywords: Ambiguity, Optimism, Pessimism, Strategic Games, Oligopoly, Strategic Dele- gation, Peace-making, Strategic Complements, Choquet Expected Utility. JEL Classification: C72, D43, D62, D81. ∗Financial support by ESRC grant ES-000-22-0650 (David) and the DFG, SFB/TR 15 (Burkhard) is gratefully acknowledged. We thank Sujoy Mukerji, Jeffrey Kline, Simon Grant, Frank Milne, Wei Pang, Marzia Raybaudi- Massilia, Kirk McGrimmon, Peter Sinclair and Willy Spanjers as well as seminar participants at the Australian National University, the Universities of Alabama, Birmingham, Berlin (Humboldt), Edinburgh, Exeter, the Royal Economic Society and the EEA for helpful comments. †Corresponding author: Department of Economics, University of California, Davis, One Shields Avenue, Davis, CA 95616, USA, Tel: +1-530-752 6142, Fax: +1-530-752 9382, Email: [email protected] 1 Introduction The growing literature on ambiguity in strategic games lacks two important features: First, an elementary framework of ambiguity in games that can be easily understood and applied also by non-specialists, and second, the treatment of an optimistic attitude towards ambiguity in addition to ambiguity aversion or pessimism. -
History-Dependent Risk Attitude
Available online at www.sciencedirect.com ScienceDirect Journal of Economic Theory 157 (2015) 445–477 www.elsevier.com/locate/jet History-dependent risk attitude ∗ David Dillenberger a, , Kareen Rozen b,1 a Department of Economics, University of Pennsylvania, 160 McNeil Building, 3718 Locust Walk, Philadelphia, PA 19104-6297, United States b Department of Economics and the Cowles Foundation for Research in Economics, Yale University, 30 Hillhouse Avenue, New Haven, CT 06511, United States Received 21 June 2014; final version received 17 January 2015; accepted 24 January 2015 Available online 29 January 2015 Abstract We propose a model of history-dependent risk attitude, allowing a decision maker’s risk attitude to be affected by his history of disappointments and elations. The decision maker recursively evaluates compound risks, classifying realizations as disappointing or elating using a threshold rule. We establish equivalence between the model and two cognitive biases: risk attitudes are reinforced by experiences (one is more risk averse after disappointment than after elation) and there is a primacy effect (early outcomes have the greatest impact on risk attitude). In a dynamic asset pricing problem, the model yields volatile, path-dependent prices. © 2015 Elsevier Inc. All rights reserved. JEL classification: D03; D81; D91 Keywords: History-dependent risk attitude; Reinforcement effect; Primacy effect; Dynamic reference dependence * Corresponding author. E-mail addresses: [email protected] (D. Dillenberger), [email protected] (K. Rozen). 1 Rozen thanks the NSF for generous financial support through grant SES-0919955, and the economics departments of Columbia and NYU for their hospitality. http://dx.doi.org/10.1016/j.jet.2015.01.020 0022-0531/© 2015 Elsevier Inc. -
A Measure of Risk Tolerance Based on Economic Theory
A Measure Of Risk Tolerance Based On Economic Theory Sherman D. Hanna1, Michael S. Gutter 2 and Jessie X. Fan3 Self-reported risk tolerance is a measurement of an individual's willingness to accept risk, making it a valuable tool for financial planners and researchers alike. Prior subjective risk tolerance measures have lacked a rigorous connection to economic theory. This study presents an improved measurement of subjective risk tolerance based on economic theory and discusses its link to relative risk aversion. Results from a web-based survey are presented and compared with results from previous studies using other risk tolerance measurements. The new measure allows for a wider possible range of risk tolerance to be obtained, with important implications for short-term investing. Key words: Risk tolerance, Risk aversion, Economic model Malkiel (1996, p. 401) suggested that the risk an to describe some preliminary patterns of risk tolerance investor should be willing to take or tolerate is related to based on the measure. The results suggest that there is the househ old situation, lifecycle stage, and subjective a wide variation of risk tolerance in people, but no factors. Risk tolerance is commonly used by financial systematic patterns related to gender or age have been planners, and is discussed in financial planning found. textbooks. For instance, Mittra (1995, p. 396) discussed the idea that risk tolerance measurement is usually not Literature Review precise. Most tests use a subjective measure of both There are at least four methods of measuring risk emotional and financial ability of an investor to tolerance: askin g about investment choices, asking a withstand losses. -
Auction Choice for Ambiguity-Averse Sellers Facing Strategic Uncertainty
Games and Economic Behavior 62 (2008) 155–179 www.elsevier.com/locate/geb Auction choice for ambiguity-averse sellers facing strategic uncertainty Theodore L. Turocy Department of Economics, Texas A&M University, College Station, TX 77843, USA Received 20 December 2006 Available online 29 May 2007 Abstract The robustness of the Bayes–Nash equilibrium prediction for seller revenue in auctions is investigated. In a framework of interdependent valuations generated from independent signals, seller expected revenue may fall well below the equilibrium prediction, even though the individual payoff consequences of suboptimal bidding may be small for each individual bidder. This possibility would be relevant to a seller who models strategic uncertainty as ambiguity, and who is ambiguity-averse in the sense of Gilboa and Schmeidler. It is shown that the second-price auction is more exposed than the first-price auction to lost revenue from the introduction of bidder behavior with small payoff errors. © 2007 Elsevier Inc. All rights reserved. JEL classification: D44; D81 Keywords: Auctions; Strategic uncertainty; Ambiguity aversion; Robustness 1. Introduction Auctions play a multitude of roles within economics and related fields. In deference to their long and broad use as a method of selling or purchasing goods, auction games are presented as one theoretical framework for price formation. This theoretical study, in turn, has begotten the design of custom market mechanisms, which may be auctions in their own right, or which may incorporate an auction as a component. Finally, auctions represent a common ground on which the empirical study of natural markets, the experimental study of auction games in the laboratory and the field all appear. -
Utility with Decreasing Risk Aversion
144 UTILITY WITH DECREASING RISK AVERSION GARY G. VENTER Abstract Utility theory is discussed as a basis for premium calculation. Desirable features of utility functions are enumerated, including decreasing absolute risk aversion. Examples are given of functions meeting this requirement. Calculating premiums for simplified risk situations is advanced as a step towards selecting a specific utility function. An example of a more typical portfolio pricing problem is included. “The large rattling dice exhilarate me as torrents borne on a precipice flowing in a desert. To the winning player they are tipped with honey, slaying hirri in return by taking away the gambler’s all. Giving serious attention to my advice, play not with dice: pursue agriculture: delight in wealth so acquired.” KAVASHA Rig Veda X.3:5 Avoidance of risk situations has been regarded as prudent throughout history, but individuals with a preference for risk are also known. For many decision makers, the value of different potential levels of wealth is apparently not strictly proportional to the wealth level itself. A mathematical device to treat this is the utility function, which assigns a value to each wealth level. Thus, a 50-50 chance at double or nothing on your wealth level may or may not be felt equivalent to maintaining your present level; however, a 50-50 chance at nothing or the value of wealth that would double your utility (if such a value existed) would be equivalent to maintaining the present level, assuming that the utility of zero wealth is zero. This is more or less by definition, as the utility function is set up to make such comparisons possible. -
Model Uncertainty, Ambiguity Aversion and Implications For
Model Uncertainty, Ambiguity Aversion and Implications for Catastrophe Insurance Market Hua Chen Phone: (215) 204-5905 Email: [email protected] Tao Sun* Phone: (412) 918-6669 Email: [email protected] December 15, 2012 *Please address correspondence to: Tao Sun Department of Risk, Insurance, and Health Management Temple University 1801 Liacouras Walk, 625 Alter Hall Philadelphia, PA 19122 1 Model Uncertainty, Ambiguity Aversion and Implications for Catastrophe Insurance Market Abstract Uncertainty is the inherent nature of catastrophe models because people usually have incomplete knowledge or inaccurate information in regard to such rare events. In this paper we study the decision makers’ aversion to model uncertainty using various entropy measures proposed in microeconomic theory and statistical inferences theory. Under the multiplier utility preference framework and in a static Cournot competition setting, we show that reinsurers’ aversion to catastrophe model uncertainty induces a cost effect resulting in disequilibria, i.e., limited participation, an equilibrium price higher than the actuarially fair price, and possible market break-down in catastrophe reinsurance markets. We show that the tail behavior of catastrophic risks can be modeled by a generalized Pareto distribution through entropy minimization. A well- known fact about catastrophe-linked securities is that they have zero or low correlations with other assets. However, if investors’ aversion to model uncertainty is higher than some threshold level, adding heavy-tailed catastrophic risks into the risk portfolio will have a negative diversification effect. JEL Classification: C0, C1, D8, G0, G2 Key words: Model Uncertainty, Ambiguity Aversion, Catastrophe Insurance Market, Entropy, Generalized Pareto Distribution 2 1. Introduction Catastrophe risk refers to the low-frequency and high-severity risk due to natural catastrophic events, such as hurricane, earthquake and floods, or man-made catastrophic events, such as terrorism attacks. -
Loss Aversion in Decisions Under Risk and the Value of a Symmetric Simplification of Prospect Theory
1 Loss Aversion in Decisions under Risk and the Value of a Symmetric Simplification of Prospect Theory By Eyal Ert and Ido Erev Max Wertheimer Minerva Center for Cognitive Studies, Technion, Israel Abstract Three studies are presented that examine alternative interpretations of the loss aversion assertion (Kahneman and Tversky (1979)). The first two studies reject a "strong" interpretation: In violations of this interpretation the choice rate of the risky option was higher given prospects with mixed payoffs (gain and losses) than given prospects with nonnegative payoffs. The third study rejects a "moderate" interpretation of loss aversion: It shows that the elimination of the loss aversion assumption from prospect theory increases the theory's predictive value. The results demonstrate the value of a simplified version of prospect theory that assumes a symmetric value function (with diminishing sensitivity relative to the reference point), a symmetric probability weighting function (that implies a certainty/possibility effect) and a stochastic response rule. Keywords: Stochastic models, Cumulative prospect theory, Predictive value. JEL Classification: C91, D01. 2 1. INTRODUCTION The loss aversion assertion, one of the assumptions that underlie prospect theory (Kahneman and Tversky (1979)), implies that losses loom larger than gains. That is, the absolute subjective value of a specific loss is larger than the absolute subjective value of an equivalent gain. This assertion was shown to provide an elegantexplanation to a wide set of important behavioral phenomena. Famous examples are the endowment effect (Kahneman, Knetsch and Thaler (1990)), the status quo bias (Samuelson and Zeckhauser (1988)), and the equity premium puzzle (Benartzi and Thaler (1995)). -
Risk Aversion and Emotions
bs_bs_banner Pacific Economic Review, 19: 3 (2014) pp. 296–312 doi: 10.1111/1468-0106.12067 RISK AVERSION AND EMOTIONS YEN NGUYEN Tilburg University CHARLES N. NOUSSAIR* Tilburg University Abstract. We consider the relationship between emotions and decision-making under risk. Specifi- cally, we examine the emotional correlates of risk-averse decisions. In our experiment, individuals’ facial expressions are monitored with face reading software, as they are presented with risky lotteries. We then correlate these facial expressions with subsequent decisions in risky choice tasks. We find that a more positive emotional state is positively correlated with greater risk taking. The strength of a number of emotions, including fear, happiness, anger and surprise, is positively correlated with risk aversion. JEL Classification Code: C9 1. INTRODUCTION The mechanisms that underpin choice under risk have been a primary focus of research in economics, psychology and neuroscience. The traditional approach in economics has been to postulate the existence of a utility function, possessing the expected utility property, that represents an individual’s preferences, and to note that concavity implies a preference for relatively safe lotteries, while convexity corresponds to a preference for relatively risky lotteries. Neuroscien- tists have documented the physiological correlates of risky decision-making. Psychologists and behavioural economists stress the role of emotions such as happiness or fear in guiding individuals’ choices in risky situations (see e.g. Forgas, 1995; Loewenstein and Lerner, 2003; Coget et al., 2011). The focus of the work reported here is to better understand the connection between emotions, which are ultimately psychological terms describing profiles of physiological responses, and the level of risk aversion exhibited in financial decision-making tasks. -
Monetary Policy, Redistribution, and Risk Premia∗
Monetary Policy, Redistribution, and Risk Premia∗ Rohan Kekrey Moritz Lenelz September 2019 Abstract We study the transmission of monetary policy through risk premia in a heteroge- neous agent New Keynesian environment. Heterogeneity in agents' marginal propensity to take risk (MPR) summarizes differences in risk aversion, constraints, rules of thumb, background risk, and beliefs relevant for portfolio choice on the margin. An unexpected reduction in the nominal interest rate redistributes to agents with high MPRs, lower- ing risk premia and amplifying the stimulus to the real economy through investment. Quantitatively, this mechanism rationalizes the empirical finding that the stock market response to monetary policy shocks is driven by news about future excess returns. JEL codes: E44, E63, G12 ∗We thank Adrien Auclert, Markus Brunnermeier, Emmanuel Farhi, Zhiguo He, Anil Kashyap, Gita Gopinath, Francois Gourio, Veronica Guerrieri, Erik Hurst, Nobu Kiyotaki, Stefan Nagel, Brent Neiman, Monika Piazzesi, Martin Schneider, Alp Simsek, Ludwig Straub, Gianluca Violante, Ivan Werning, Tom Winberry, and Moto Yogo for discussions. yUniversity of Chicago Booth School of Business. Email: [email protected]. zPrinceton University. Email: [email protected]. 1 Introduction In the data, expansionary monetary policy lowers risk premia. This finding has been es- tablished for the equity premium in stock markets, the term premium on longer maturity nominal bonds, and the external finance premium on risky corporate debt.1 The basic New Keynesian framework as described by Woodford (2003) and Gali (2008) does not capture this aspect of monetary policy transmission. As noted by Kaplan and Violante (2018), this is equally true for an emerging body of heterogeneous agent New Keynesian models whose focus on heterogeneous marginal propensities to consume has substantially enriched the im- plications for aggregate consumption but less so for asset prices and therefore investment. -
Ambiguity Aversion: Experimental Modeling, Evidence, and Implications for Pricing∗
Ambiguity aversion: experimental modeling, evidence, and implications for pricing∗ Jan Pieter Krahnen, Peter Ockenfels, and Christian Wildey August 14, 2013 Abstract This paper provides a systematic analysis of individual attitudes towards ambiguity, based on laboratory experiments. The design of the analysis captures different degrees of ambiguity in various settings, and it allows to disentangle attitudes towards risk and attitudes towards ambiguity. In addition to individual attitudes, the experiments also elicit expectations about other participants' attitudes, allowing us to relate own behav- ior to expectations about others. New measures are introduced for both, the degree of ambiguity in a situation and ambiguity aversion. Ambiguity is embedded in standard utility theory and a parameter of ambiguity aversion is estimated and contrasted to the parameter of risk aversion. The analysis provides a test of theoretical models of ambiguity aversion. The main findings are that ambiguity aversion on average is much more pro- nounced than human aversion against risk and that it is very different across individuals. Moreover, while most theoretical work on ambiguity builds on maxmin expected utility, our results provide evidence that MEU does not adequately capture individual attitudes towards ambiguity. JEL-Classification: D81, G02 Keywords: ambiguity, experimental economics ∗We thank Phelim Boyle and Julian Thimme for valuable comments. We also thank seminar participants at the 2010 annual meeting of Sozialwissenschaftlicher Ausschuss in Erfurt, the 2012 Economic Science Association European Conference in K¨oln,the 2012 Northern Finance Association Conference in Niagara Falls, and the 2012 German Finance Association Conference (DGF) in Hannover for helpful discussions. yCorrespondence: House of Finance, Goethe University Frankfurt, Gr¨uneburgplatz 1 (PF H29), 60323 Frankfurt am Main, Germany, Phone: +49 69 798 33699, E-mails: krahnen@finance.uni-frankfurt.de, ockenfels@finance.uni-frankfurt.de, wilde@finance.uni-frankfurt.de.