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The B.E. Journal of Theoretical Economics

Editor-in-Chief: Schipper, Burkhard

Ed. by Fong, Yuk-fai / Peeters, Ronald / Puzzello , Daniela / Rivas, Javier / Wenzelburger, Jan

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On the Difference between Social and Private Goods

Alvaro Sandroni / Sandra Ludwig / Philipp Kircher
Published Online: 2013-06-29 | DOI: https://doi.org/10.1515/bejte-2012-0008


Standard economic models have long been applied to choices over private consumption goods, but have recently been extended to incorporate social situations as well. We challenge the applicability of standard decision-theoretic models to social settings. In an experiment where choices affect the payoffs of someone else, we find that a large fraction of subjects prefer randomization over any of the deterministic outcomes. This tendency prevails whether the other party knows about the choice situation or not. Such randomization violates standard decision theory axioms that require that lotteries are never better than their best deterministic component. For conceptually similar choices in classical non-social situations, we do not find much evidence for such violations, suggesting the need for theories of uncertainty that are targeted to social settings.

Keywords: risky choice; betweenness axiom; social preferences; preference for randomness

JEL Classification: D81; C91; D63


  • Allais, M. 1953. “Le comportement de l’homme rationnel devant le risque: Critique des postulats et axiomes de l’ecole Americane.” Econometrica 21:503–46.CrossrefGoogle Scholar

  • Andreoni, J., and J. Miller. 2002. “Giving According to GARP: An Experimental Test of the Consistency of Preferences for Altruism.” Econometrica 70:737–53.CrossrefGoogle Scholar

  • Andreoni, J., and B. D. Bernheim. 2009. “Social Image and the 50–50 Norm: A Theoretical and Experimental Analysis of Audience Effects” Econometrica 77:1607–36.Google Scholar

  • Bartling, B., and U. Fischbacher. 2011. “Shifting the Blame: On Delegation and Responsibility.” Review of Economic Studies 79:67–87.Google Scholar

  • Battigalli, P., and M. Dufwenberg 2009. “Dynamic Psychological Games.” Journal of Economic Theory 144:1–35.CrossrefGoogle Scholar

  • Bohnet, I., F. Greig, B. Herrmann and R. Zeckhauser. 2004. “Betrayal Aversion: Evidence from Brazil, China, Oman, Switzerland, Turkey, and the United States.” American Economic Review 98(1):294–310.Google Scholar

  • Bohnet, I., and R. Zeckhauser. 2004. “Trust, Risk and Betrayal.” Journal of Economic Behavior and Organization 55:467–84.Google Scholar

  • Bolton, G., J. Brandts, and A. Ockenfels. 2005. “Fair Procedures: Evidence from Games Involving Lotteries.” The Economic Journal 115:1054–76.CrossrefGoogle Scholar

  • Bolton, G., and A. Ockenfels. 2000. “ERC A Theory of Equity, Reciprocity and Competition.” American Economic Review 90(1):166–93.CrossrefGoogle Scholar

  • Bolton, G., and A. Ockenfels. 2010. “Betrayal Aversion: Evidence from Brazil, China, Oman, Switzerland, Turkey, and the United States: Comment.” American Economic Review 100:628–33.CrossrefGoogle Scholar

  • Borah, A. 2009. “Other Regarding Preferences in Environments of Risk.” Mimeo, University of Pennsylvania.Google Scholar

  • Brock, M., A. Lange, and E. Ozbay. 2013. “Dictating the Risks – Experimental Evidence on Norms of Giving in Risky Environments.” American Economic Review 103:415–37.CrossrefGoogle Scholar

  • Broom, J. 1984. “Uncertainty and Fairness.” The Economic Journal 94:624–32.CrossrefGoogle Scholar

  • Camerer, C., and T-H. Ho. 1994. “Violations of the Betweenness Axiom and Nonlinearity in Probability.” Journal of Risk and Uncertainty 8:167–96.CrossrefGoogle Scholar

  • Charness, G., and M. Dufwenberg. 2011. “Participation.” American Economic Review 101:1211–37.CrossrefGoogle Scholar

  • Charness, G., and M. Rabin. 2002. “Understanding Social Preferences with Simple Tests.” The Quarterly Journal of Economics 117:817–69.CrossrefGoogle Scholar

  • Chew, S., and J. Sagi. 2006. “Event Exchangeability: Probabilistic Sophistication without Continuity or Monotonicity.” Econometrica 74–73:771–86.Google Scholar

  • Chew, S. H. 1983. “A generalization of The Quasilinear Mean with Applications to the Measurement of the Income Inequality and Decision Theory Resolving the Allais Paradox.” Econometrica 53:1065–92.Google Scholar

  • Cooper, D., and J. Kagel. 2013. “Other Regarding Preferences: A Selective Survey of Experimental Results.” In The Handbook of Experimental Economics, vol. 2, edited by J. Kagel, and A. Roth. Princeton, NJ: Princeton University Press.Google Scholar

  • Dana, J., D. M. Cain, and R. M. Dawes. 2006. “What You Don’t Know Won’t Hurt Me: Costly (but Quiet) Exit in Dictator Games.” Organizational Behavior and Human Decision Processes 100:193–201.CrossrefGoogle Scholar

  • Dana, J., R. A. Weber, and J. X. Kuang. 2007. “Exploiting Moral Wiggle Room: Experiments Demonstrating an Illusory Preference for Fairness.” Economic Theory 33:67–80.CrossrefGoogle Scholar

  • Dekel, E. 1986. “An Axiomatic Characterization of Preference under Uncertainty: Weakening the Independence Axiom.” Journal of Economic Theory 40:304–18.CrossrefGoogle Scholar

  • Diamond, P. A. 1967. “Cardinal Welfare, Individualistic Ethics, and Intertemporal Comparisons of Utility: Comment.” Journal of Political Economy 75:765–6.CrossrefGoogle Scholar

  • Ellsberg, D. 1961. “Risk, Ambiguity, and the Savage Axioms.” Quarterly Journal of Economics 75:643–69.CrossrefGoogle Scholar

  • Fehr, E., and K. Schmidt. 1999. “A Theory of Fairness, Competition, and Cooperation.” The Quarterly Journal of Economics 114:817–68.CrossrefGoogle Scholar

  • Fischbacher, U. 2007. “z-Tree: Zurich Toolbox for Readymade Economic Experiments.” Experimental Economics 10(2):171–178.CrossrefGoogle Scholar

  • Fishburn, P. 1988. Nonlinear Preference and Utility Theory. Baltimore, MD: Johns Hopkins University Press.Google Scholar

  • Fudenberg, D., and D. K. Levine. 2012. “Fairness, Risk Preferences and Independence: Impossibility Theorems.” Journal of Economic Behaviour and Organization 81:606–12.Google Scholar

  • Gneezy, U., J. A. List, and G. Wu. 2006. “The Uncertainty Effect: When a Risky Prospect is Valued Less than Its Worst Outcome.” The Quarterly Journal of Economics 121(4):1283–309.CrossrefGoogle Scholar

  • Grant, S. 1995. “Subjective Probability without Monotonicity: Or How Machina’s Mom May also Be Probabilistically Sophisticated.” Econometrica 63–61:159–89.Google Scholar

  • Grant, S., A. Kajii, B. Polak, and Z. Safra. 2010. “Generalized Utilitarianism and Harsanyi’s Impartial Observer Theorem.” Econometrica 78–6:1939–71.Google Scholar

  • Greiner, B. 2004. “An Online Recruitment System for Economic Experiments” in Forschung und wissenschaftliches Rechnen 2003, GWDG Bericht 63, eds. Kurt Kremer and Volker Macho. GesellschaftfLuer Wissenschaftliche Datenverarbeitung, GLoettingen: 79–93.Google Scholar

  • Gul, F. 1991. “A Theory of Disappointment in Decision Making under Uncertainty.” Econometrica LIX:667–86.Google Scholar

  • Hamman, J., G. Loewenstein, and R. A. Weber. 2010. “Self-interest Through Delegation: An Additional Rationale for the Principal-Agent Relationship.” American Economic Review 100:1826–46.CrossrefGoogle Scholar

  • Harsanyi, J. 1955. “Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility.” Journal of Political Economy 63:309–21.CrossrefGoogle Scholar

  • Harsanyi, J. 1975. “Nonlinear Social Welfare Functions: Do Welfare Economists Have a Special Exemption from Bayesian Rationality?” Theory and Decision 6:311–32.CrossrefGoogle Scholar

  • Harsanyi, J. 1978. “Bayesian Decision Theory and Utilitarian Ethics.” American Economic Review 68:223–8.Google Scholar

  • Kahneman, D., J. Knetsch, and R. Thaler. 1990. “Experimental Tests of the Endowment Effect and the Coase Theorem.” Journal of Political Economy 98(6):1325–48.CrossrefGoogle Scholar

  • Kahneman, D., and A. Tversky. 1979. “Prospect Theory: An Analysis of Decision under Risk.” Econometrica 47:263–92.CrossrefGoogle Scholar

  • Karni, E., and Z. Safra. 2002. “Individual Sense of Justice: A Utility Representation.” Econometrica 70:263–84.CrossrefGoogle Scholar

  • Karni, E., T. Salmon, and B. Sopher. 2008. “Individual Sense of Fairness: An Experimental Study.” Experimental Economics 11(2):174–89.CrossrefGoogle Scholar

  • Keren, G., and M. C. Willemsen. 2009. “Decision Anomalies, Experimenter Assumptions, and Participants’ Comprehension: Revaluating the Uncertainty Effect.” Journal of Behavioral Decision Making 22(3):301–17.CrossrefGoogle Scholar

  • Kirchsteiger, G. 1994. “The Role of Envy in Ultimatum Games.” Journal of Economic Behavior and Organization 25:373–89.Google Scholar

  • Krawczyk, M., and F. Le Lec. 2008. “Social Decisions under Risk. Evidence from the Probabilistic Dictator Game.” Mimeo, University of Amsterdam.Google Scholar

  • Levine, D. K. 1998. “Modeling Altruism and Spitefulness in Experiments.” Review of Economic Dynamics 1:593–622.CrossrefGoogle Scholar

  • Maccheroni, F., M. Marinacci, and A. Rustichini. 2008. “Social Decision Theory: Choosing Within and between Groups.” Mimeo.Google Scholar

  • Machina, M. 1982. “Expected Utility Analysis without the Independence Axiom.” Econometrica 50:277–323.CrossrefGoogle Scholar

  • Machina, M. 1987. “Choice under Uncertainty: Problems Solved and Unsolved.” Journal of Economic Perspectives 1:121–54.CrossrefGoogle Scholar

  • Machina, M. 1989. “Dynamic Consistency and Non-expected Utility Models of Choice under Uncertainty.” Journal of Economic Literature XXVII:1622–68.Google Scholar

  • Neilson. W. 2006. “Axiomatic Reference-dependence in Behavior Toward others and Toward Risk. Economic Theory 28:681–92.CrossrefGoogle Scholar

  • Ok, E., and L. Kockesen. 2000. “Negatively Interdependent Preferences.” Social Choice and Welfare 17:533–58.CrossrefGoogle Scholar

  • Rydval, O., A. Ortmann, S. Prokosheva, and R. Hertwig. 2009.” How Certain Is the Uncertainty Effect?” Experimental Economics 12(4):473–87.CrossrefGoogle Scholar

  • Quiggin, J. 1982. “A Theory of Anticipated Utility.” Journal of Economic Behavior and Organization 3:323–43.Google Scholar

  • Rohde, K. 2010. “A Preference Foundation for Fehr and Schmidt’s Model of Inequity Aversion.” Social Choice and Welfare 34:537–47.CrossrefGoogle Scholar

  • Saito, K. 2010. “Preferences for Randomization – Ambiguity Aversion and Inequality Aversion.” Mimeo, Northwestern University.Google Scholar

  • Sandbu, M. 2008. “Axiomatic Foundations for Fairness-Motivated Preferences.” Social Choice and Welfare 31(4):589–619.CrossrefGoogle Scholar

  • Spector, Y., M. Leshno, and M. Ben Horin. 1996. “Stochastic Dominance in an Ordinal World.” European Journal of Operational Research 93(3):620–7.CrossrefGoogle Scholar

  • Starmer, C. 2000. “Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk.” Journal of Economic Literature XXXVIII:332–82.Google Scholar

  • Tadelis, S. 2008. “The Power of Shame and the Rationality of Trust.” Mimeo, University of California, Berkeley.Google Scholar

  • Trautmann, S. 2009. “Fehr-Schmidt Process Fairness and Dynamic Consistency.” Journal of Economic Psychology 30:803–13.CrossrefGoogle Scholar

  • Weber, M., and C. Camerer. 1987. “Recent Developments in Modelling Preferences under Risk.” OR Spektrum 9:129–51.CrossrefGoogle Scholar

About the article

Published Online: 2013-06-29

Published in Print: 2013-01-01

Citation Information: The B.E. Journal of Theoretical Economics, Volume 13, Issue 1, Pages 151–177, ISSN (Online) 1935-1704, ISSN (Print) 2194-6124, DOI: https://doi.org/10.1515/bejte-2012-0008.

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