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3. CAPITALISATION

3.3 Proper nouns .1 Titles and ranks

According to our model, the certainty equivalent for a given lottery is only implicitly defined. We therefore need to approximate it numerically. The following lines contain the receipt describing each step of the algorithm we implemented to do that.

1. Calculate the value of the lottery L, VL, according to Equation C.1.

2. Split the outcome space [x, x] into n equally spaced partitions, where n is a large number (we took 200). Note that ˜ce(L) lies by definition between the lowest and the highest lottery outcome.

3. Calculate the value for each of the n + 1 amounts, Vce˜(L), again following Equation C.1.

4. Find the smallest and the largest amount xl and xh lying below and above indiffer-ence VL= Vce˜(L) in the vector Vce˜(L).

5. Determine the weight w representing relative distance from indifference to the xl, i.e. w = xl/(xh− xl).

6. Obtain the approximate certainty equivalent ˜ce(L) by the weighted mean ˜ce(L) = wxh+ (1 − w)xl.

Bibliography

Allais, M. (1953): “L’Extension des Theories de l’Equilibre Economique General et du Rendement Social au Cas du Risque,” Econometrica, 21, 269–290.

Allais, M. and O. Hagen(1979): Expected Utility Hypotheses and the Allais Paradox, vol. I.

Astebro, T., J. Mata, and L. Santos-Pinto (2009): “Preference for Skew in Lot-teries: Evidence from the Laboratory,” DEEP/HEC, University of Lausanne, Working Paper.

Battalio, R., J. Kagel, and K. Jiranyakul (1990): “Testing between Alterna-tive Models of Choice under Uncertainty: Some Initial Results,” Journal of Risk and Uncertainty, 3, 25–50.

Battalio, R., J. Kagel, and D. MacDonald (1985): “Animals’ Choices over Un-certain Outcomes: Some Initial Experimental Results,” American Economic Review, 75, 597–613.

Baucells, M. and A. Villasis(2010): “Stability of Risk Preferences and the Reflec-tion Effect of Prospect Theory,” Theory and Decision (forthcoming).

Bell, D. (1982): “Regret in Decision Making under Uncertainty,” Operations Research, 30, 961–981.

——— (1985): “Disappointment in Decision Making under Uncertainty,” Operations Re-search, 33, 1–27.

Birnbaum, M. H., G. Coffey, B. A. Mellers, and R. Weiss (1992): “Utility Measurement: Configural-Weight Theory and the Judge’s Point of View,” Journal of Experimental Psychology: Human Perception and Performance, 18, 331–346.

Bowman, E.(1980): “A Risk/Return Paradox for Strategic Management,” Sloan School of Management, Massachusetts Institute of Technology, Working Paper, 1107-80.

——— (1982): “Risk Seeking by Troubled Firms,” Sloan Management Review, 23, 33–42.

Bruhin, A., H. Fehr-Duda, and T. Epper(2010): “Risk and Rationality: Uncover-ing Heterogeneity in Probability Distortion,” Econometrica, 78, 1375–1412.

Camerer, C., S. Issacharoff, G. F. Loewenstein, T. O’Donoghue, and M. Rabin(2003): “Regulation for Conservatives: Behavioral Economics and the Case for Asymmetric Paternalism,” University of Pennsylvania Law Review, 151, 1211–1254.

Cohen, M., J. Jaffray, and T. Said(1987): “Experimental Comparison of Individual Behavior under Risk and under Uncertainty for Gains and for Losses,” Organizational Behavior and Human Decision Processes, 39, 1–22.

Conte, A., J. Hey, and P. Moffatt(2010): “Mixture Models of Choice under Risk,”

Journal of Econometrics (forthcoming).

Deaton, A. (1991): “Saving and Liquidity Constraints,” Econometrica, 59, 1221–1248.

Deck, C., J. Lee, J. Reyes, and C. Rosen (2009): “Measuring Risk Attitudes Controlling for Personality Traits,” College of Business, University of Arkansas, mimeo.

Donkers, B., B. Melenberg, and A. V. Soest(2001): “Estimating Risk Attitudes using Lotteries: A Large Sample Approach,” Journal of Risk and Uncertainty, 22, 165–195.

Epper, T. (2009): “Rational Planners or Myopic Fools? Liquidity Constraints, Posi-tive Expectations and Anomalies in Intertemporal Choice,” Chair of Economics, ETH Zurich, mimeo.

Epper, T., H. Fehr-Duda, and A. Bruhin (2010): “Viewing the Future through a Warped Lens: Why Uncertainty Generates Hyperbolic Discounting,” Working Paper, Institute for Empirical Research in Economics, University of Zurich, 510.

Fechner, G.(1860): “Elemente der Psychophysik,” Vol. II, Breitkopf & Hartel, Leipzig.

Fehr-Duda, H., A. Bruhin, and T. Epper (2010): “Rationality on the Rise: Why Relative Risk Aversion Increases with Stake Size,” Journal of Risk and Uncertainty, 40, 147–180.

Fishburn, P. and G. Kochenberger(1979): “Two-Piece von Neumann-Morgenstern Utility Functions,” Decision Sciences, 10, 503–518.

Gilboa, I. (1987): “Expected Utility with Purely Subjective Non-Additive Probabili-ties,” Journal of Mathematical Economics, 16, 65–88.

Gonzalez, R. and G. Wu(1999): “On the Shape of the Probability Weighting Func-tion,” Cognitive Psychology, 38, 129–166.

Gul, F. (1991): “A Theory of Disappointment Aversion,” Econometrica, 59, 667–686.

Handa, J.(1977): “Risk, Probabilities, and a New Theory of Cardinal Utility,” Journal of Political Economy, 85, 97–122.

Hershey, J. and P. Schoemaker(1980): “Prospect Theory’s Reflection Hypothesis:

A Critical Examination,” Organizational Behavior and Human Performance, 25, 395–

418.

Hogarth, R. and H. Einhorn (1990): “Venture Theory: A Model of Decision Weights,” Management Science, 36, 780–803.

Holt, C. and S. Laury (2002): “Risk Aversion and Incentive Effects,” American Economic Review, 92, 1644–1655.

Kagel, J., D. MacDonald, and R. Battalio (1990): “Tests of ”Fanning Out” of Indifference Curves: Results from Animal and Human Experiments,” American Eco-nomic Review, 80, 912–921.

Kahneman, D. and A. Tversky (1979): “Prospect Theory: An Analysis of Decision under Risk,” Econometrica, 47, 263–292.

Karmarkar, U. S.(1978): “Subjectively Weighted Utility: A Descriptive Extension of the Expected Utility Model,” Organizational Behavior and Human Performance, 21, 61–72.

Kunreuther, H., G. Wright, J. Roumasset, and J. Boussard (1979): “Safety First, Gambling, and the Subsistence Farmer,” in Roumasset, J.A., Boussard, J.M., and Singh, I. (eds); Risk, Uncertainty, and Agricultural Development; New York, Agri-cultural Development Council, 213–230.

Loewenstein, G. F. and T. O’Donoghue(2007): “The Heat of the Moment: Model-ing Interactions Between Affect and Deliberation,” Department of Economics, Cornell University, mimeo.

Loomes, G. and R. Sugden (1982): “Regret Theory: An Alternative Theory of Ra-tional Choice Under Uncertainty,” Economic Journal, 92, 805–824.

——— (1986): “Disappointment and Dynamic Consistency in Choice under Uncertainty,”

Review of Economic Studies, 53, 271–282.

Lopes, L.(1986): “Between Hope and Fear: The Psychology of Risk,” WHIPP Report, Wisconsin Human Information Process Program, Dept. of Psychology, University of Wisconsin, 24.

Lopes, L. and G. Oden(1999): “The Role of Aspiration Level in Risky Choice: A Com-parison of Cumulative Prospect Theory and SP/A Theory,” Journal of Mathematical Psychology, 43.

Love, R. O. and L. J. Robinson(1984): “An Empirical Analysis of the Intertemporal Stability of Risk Preference,” Southern Journal of Agricultural Economics, 16, 159–166.

Luce, R. D. and P. Fishburn (1991): “Rank- and Sign-Dependent Linear Utility Models for Finite First-Order Gambles,” Journal of Risk and Uncertainty, 4, 29–59.

MacCrimmon, K. and D. Wehrung(1990): “Characteristics of Risk Taking Execu-tives,” Management Science, 36, 422–435.

Machina, M. (1982): “”Expected Utility” Analysis without the Independence Axiom,”

Econometrica, 50, 277–323.

McDermott, R., J. Fowler, and O. Smirnov(2008): “On the Evolutionary Origin of Prospect Theory Preferences,” Journal of Politics, 70, 335–350.

McNamara, J. (1996): “Risk-Prone Behaviour under Rules which have Evolved in a Changing Environment,” Integrative and Comparative Biology, 36, 484–495.

McNamara, J. and A. Houston (1992): “Risk-Sensitive Foraging: A Review of the Theory,” Bulletin of Mathematical Biology, 54, 355–378.

Payne, J., D. Laughhunn, and R. Crum (1984): “Multiattribute Risky Choice Be-havior: The Editing of Complex Prospects,” Management Science, 30, 1350–1361.

Quiggin, J. (1982): “A Theory of Anticipated Utility,” Journal of Economic Behavior and Organization, 3, 323–343.

——— (1993): “Generalized Expected Utility Theory: The Rank-Dependent Model,”

Boston, Kluwer.

Rabin, M. (2000): “Risk Aversion and Expected-Utility Theory: A Calibration Theo-rem,” Econometrica, 68, 1281–1292.

Rabin, M. and R. Thaler(2001): “Anomalies: Risk Aversion,” Journal of Economic Perspectives, 15, 219–232.

Savage, L. (1954): “The Foundations of Statistics,” Dover Publications, New York.

Schmeidler, D.(1989): “Subjective Probability and Expected Utility without Additiv-ity,” Econometrica, 57, 571–587.

Slovic, P.(1969): “Differential Effects of Real Versus Hypothetical Payoffs on Choices Among Gambles,” Journal of Experimental Psychology, 80, 434–437.

Starmer, C. (2000): “Developments in Non-Expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk,” Journal of Economic Literature, 38, 332–382.

Tversky, A. and D. Kahneman(1986): “Rational Choice and the Framing of Deci-sions,” Journal of Business, 59, 251–278.

——— (1992): “Advances in Prospect Theory: Cumulative Representation of Uncer-tainty,” Journal of Risk and Uncertainty, 5, 297–323.

Tversky, A. and P. Wakker(1995): “Risk Attitudes and Decision Weights,” Econo-metrica, 63, 1255–1280.

von Neumann, J. and O. Morgenstern (1947): “Theory of Games and Economic Behavior,” Princeton University Press, Priceton (NJ).

Wakker, P. (2005): “Formalizing Reference Dependence and Initial Wealth in Rabin’s Calibration Theorem,” Econometric Institute, Erasmus University Rotterdam (NL), mimeo.

Walther, H. (2003): “Normal-Randomness Expected Utility, Time Preference and Emotional Distortions,” Journal of Economic Behavior and Organization, 52, 253–266.

Weber, E. H.(1834): “De Pulsu, Resorptione, Audita et Tactu,” Annotationes Anatom-icae et PhysiologAnatom-icae (C.F. Koehler, Lipsiane eds.).

——— (1994): “From Subjective Probabilities to Decision Weights: The Effect of Asym-metric Loss Functions on the Evaluation of Uncertain Outcomes and Events,” Psycho-logical Bulletin, 115, 228–242.

Weber, E. H., A. Blais, and N. Betz (2002): “A Domain-Specific Risk-Attitude Scale: Measuring Risk Perceptions and Risk Behaviors,” Journal of Behavioral Decision Making, 15, 263–290.

Weber, E. H. and B. Kirsner (1997): “Reasons for Rank-Dependent Utility Evalu-ation,” Journal of Risk and Uncertainty, 14, 41–61.

Wehrung, D.(1989): “Risk Taking over Gains and Losses: A Study of Oil Executives,”

Annals of Operations Research, 19, 115–139.

Yaari, M.(1987): “The Dual Theory of Choice under Risk,” Econometrica, 55, 95–115.

Zeisberger, S., D. Vrecko, and T. Langer(2010): “Measuring the Time Stability of Prospect Theory Preferences,” Theory and Decision (forthcoming).

Curriculum Vitæ

Thomas Epper

Personal Details

Date of Birth: October 31, 1979 Place of Birth: Chur GR, Switzerland Citizenship: Swiss

Education

2008 Russell Sage Foundation Summer Institute in Behavioral Economics, Trento, Italy. Organizers: David Laibson, Luigi Mittone and Matthew Rabin.

2007–2009 Postgraduate Studies in Applied Statistics, ETH Zurich, Switzerland.

2006 Mannheim Empirical Research Summer School, University of Mannheim, Germany.

since 2006 Doctoral Studies in Economics, University of Zurich, Switzerland. Supervi-sors: Ernst Fehr and Ulrich Kaiser.

2000–2005 Studies in Management and Economics, University of Zurich, Switzerland.

Graduation: lic. oec. publ.

1995–1999 High School (Kantonsschule), Sargans SG, Switzerland. Graduation: Matura Type E.

Publications

06/2011 “Viewing the Future through a Warped Lens: Why Uncertainty Generates Hyperbolic Discounting,”, Journal of Risk and Uncertainty, forthcoming (with A. Bruhin and H. Fehr-Duda).

10/2010 “Risk and Rationality: The Effects of Mood and Decision Rules on Probability Weighting,” Journal of Economic Behavior and Organization, forthcoming (with A. Bruhin, H. Fehr-Duda and R. Schubert)

07/2010 “Risk and Rationality: Uncovering Heterogeneity in Probability

Distortion,” Econometrica, Vol. 78, No. 4, p.1375-1412 (with A. Bruhin and H. Fehr-Duda).

04/2010 “Rationality on the Rise: Why Relative Risk Aversion Increases with Stake Size,” Journal of Risk and Uncertainty, Vol. 40, No. 2, p.147-180 (with A.

Bruhin, H. Fehr-Duda and R. Schubert).

Working Papers

09/2010 “Preferences or Constraints? A Rational Explanation for Probability-Dependent Risk Attitudes,” mimeo.

06/2010 “Viewing the Future through a Warped Lens: Why Uncertainty Generates Hyperbolic Discounting,” IEW Working Paper, No. 510, University of Zurich (with A. Bruhin and H. Fehr-Duda).

05/2009 “Uncertainty Breeds Decreasing Impatience: The Role of Risk Preferences in Time Discounting,” IEW Working Paper, No. 412, University of Zurich (with A. Bruhin and H. Fehr-Duda).

03/2009 “Rational Planners or Myopic Fools? Liquidity Constraints, Positive Expectations and Anomalies in Intertemporal Choice,” mimeo.

08/2007 “Rationality on the Rise: Why Relative Risk Aversion Increases with Stake Size,” SOI Working Paper, No. 0708, University of Zurich (with A. Bruhin, H. Fehr-Duda and R. Schubert).

05/2007 “Risk and Rationality: Uncovering Heterogeneity in Probability

Distortion,” SOI Working Paper, No. 0705, University of Zurich (with A.

Bruhin and H. Fehr-Duda).

03/2007 “Risk and Rationality: The Effect of Incidental Mood on Probability Weighting,” SOI Working Paper, No. 0703, University of Zurich (with A.

Bruhin, H. Fehr-Duda and R. Schubert).

October 20, 2010

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