Kameda, Tatsuya and Tsukasaki, Takafumi and Hastie, Reid and Berg, Nathan (2010): Democracy under uncertainty: The ‘wisdom of crowds’ and the free-rider problem in group decision making. Forthcoming in: Psychological Review
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We introduce a game theory model of individual decisions to cooperate by contributing personal resources to group decisions versus by free-riding on the contributions of other members. In contrast to most public-goods games that assume group returns are linear in individual contributions, the present model assumes decreasing marginal group production as a function of aggregate individual contributions. This diminishing marginal returns assumption is more realistic and generates starkly different predictions compared to the linear model. One important implication is that, under most conditions, there exist equilibria where some, but not all members of a group contribute, even with completely self-interested motives. An agent-based simulation confirms the individual and group advantages of the equilibria in which behavioral asymmetry emerges from a game structure that is a priori perfectly symmetric for all agents (all agents have the same payoff function and action space, but take different actions in equilibria). And a behavioral experiment demonstrates that cooperators and free-riders coexist in a stable manner in groups performing with the non-linear production function. A collateral result demonstrates that, compared to a ―dictatorial‖ decision scheme guided by the best member in a group, the majority-plurality decision rules can pool information effectively and produce greater individual net welfare at equilibrium, even if free-riding is not sanctioned. This is an original proof that cooperation in ad hoc decision-making groups can be understood in terms of self-interested motivations and that, despite the free-rider problem, majority-plurality decision rules can function robustly as simple, efficient social decision heuristics.
|Item Type:||MPRA Paper|
|Original Title:||Democracy under uncertainty: The ‘wisdom of crowds’ and the free-rider problem in group decision making|
|Keywords:||group decision making under uncertainty, free-rider problem, majority-plurality rules, marginally-diminishing group returns, evolutionary games, behavioral experiment|
|Subjects:||D - Microeconomics > D0 - General > D03 - Behavioral Economics; Underlying Principles|
|Depositing User:||Nathan Berg|
|Date Deposited:||10. Nov 2010 14:14|
|Last Modified:||15. Feb 2013 19:36|
Aldrich, J.A. (1997). When is it rational to vote? In D. Mueller (Ed.), Perspectives on public choice: A handbook (pp.379-390). Cambridge: Cambridge University Press.
Anderson, L. R., & Holt, C. A. (1997). Information cascades in the laboratory. American Economic Review, 87, 847-862.
Anderson, N.H. (1981). Foundations of Information Integration Theory. New York: Academic Press.
Arrow, K. J. (1951). Social choice and individual values (1st ed.). New Haven, CT: Yale University Press. Asch, S. E. (1956). Studies of independence and conformity: A minority of one against a unanimous majority. Psychological Monographs, 70 (Whole No.416).
Axelod, R. (1984). The evolution of cooperation. New York: Basic Books.
Banerjee, A. V. (1992). A simple model of herd behavior. Quarterly Journal of Economics, 107, 797-817.
Barkow, J. H., Cosmides, L., & Tooby, J. (Eds.) (1992). The adapted mind: Evolutionary psychology and the generation of culture. Oxford: Oxford University Press.
Barnard, C.J., & Sibly, R.M. (1981). Producers and scroungers: A general model and its application to captive flocks of house sparrows. Animal Behaviour, 29, 543-555.
Bednekoff, P. (1997). Mutualism among safe, selfish sentinels: a dynamic game. American Naturalist, 150, 373-392.
Bikhchandani, S., Hirshleifer, D., & Welch, I. (1992). A theory of fads, fashion, custom, and cultural change as informational cascades. Journal of Political Economy, 100, 992-1026.
Boehm, C. (1996). Emergency decisions, cultural-selection mechanics, and group selection. Current Anthropology, 37, 763-793.
Bornstein, G. (2003). Intergroup conflict: Individual, group, and collective interests. Personality and Social Psychology Review, 7, 129-145.
Boyd, R., & Richerson, P. J. (1985). Culture and the evolutionary process. Chicago: The University of Chicago Press.
Brehmer, B., & Joyce, C.R.B. (Eds.) (1988). Human judgment: The SJT view. Amsterdam: North-Holland.
Brennan, G., & Lomasky, N. (1993). The pure theory of electoral preference. Cambridge: Cambridge University Press.
Brunswik, E. (1956). Perception and the representative design of psychological experiments (2nd ed.). Berkley, CA: University of California Press.
Camerer, C.F. (2003). Behavioral game theory. Princeton, NJ: Princeton University Press.
Campbell, D.T. (1988). A general ‗selection theory,‘ as implemented in biological evolution and social belief-transmission-with-modification in science. Biology and Philosophy, 3, 171-177.
Cason, T. N., Saijo, T., & Yamato, T. (2002). Voluntary Participation and Spite in Public Good Provision Experiments: An International Comparison. Experimental Economics , 5, 133–153.
Cason, T. N., Saijo, T., Yamato, T., & Yokotani, K. (2004). Non-excludable public goods experiments. Games and Economic Behavior, 49, 81-102.
Clemen, R.T., & Winkler, R.L. (1999). Combining probability distributions from experts in risk analysis. Risk Analysis, 19, 187-203.
Condorcet, M. (1785/1994). Éssai su l’application de l’analyse à la probabilité des décisions rendues à la pluralité des voix. Paris (translated by McLean & Hewitt, 1994).
Conradt, L., & List, C. (Eds.) (2009). Theme issue: group decision making in humans and animals. Philosophical Transactions of the Royal Society B, 364, 719-852.
Cooksey, R.W. (1996). Judgment analysis: Theory, methods, and applications. San Diego: Academic Press.
Dawes, R.M. (1979). The robust beauty of improper linear models. American Psychologist, 34, 571-582.
Dawes, R. M. (1980). Social dilemmas. Annual Review of Psychology, 31, 169-193.
Dhillon, A., & Peralta, S. (2002). Economic theories of voter turnout. Economic Journal, 112, 332-352.
Downs, A. (1957). An economic theory of democracy. New York: Harper and Row.
Feddersen, T., & Pesendorfer, W. (1998). Convicting the innocent: The inferiority of unanimous jury verdicts under strategic voting. American Political Science Review, 92, 23-36.
Fehr, E., & Fischbacher, U. (2003). The nature of human altruism. Nature, 425, 785-791.
Fehr, E., & Fischbacher, U. (2004). Social norms and human cooperation. Trends in Cognitive Sciences, 8, 185-190.
Fehr, E., & Gächter, S. (2000). Cooperation and punishment in public goods experiment. American Economic Review, 90, 984-994.
Fehr, E., & Gächter, S. (2002). Altruistic punishment in humans. Nature, 415, 137-140.
Fehr, E., & Schmidt, K.M. (1999). A theory of fairness, competition, and cooperation. Quarterly Journal of Economics, 114, 817-868.
Foster, K.R. (2004). Diminishing returns in social evolution: the not-so-tragic commons. Journal of Evolutionary Biology, 17, 1058-1072.
Gigerenzer, G., Todd, P. M. & the ABC Research Group (1999). Simple heuristics that make us smart. New York: Oxford University Press.
Gilardeau, L-A., & Caraco, T. (2000). Social foraging theory. Princeton, NJ: Princeton University Press.
Gintis, H. (2000). Game theory evolving. Princeton, NJ: Princeton University Press. Gintis, H. (2007). A framework for the unification of the behavioral sciences. Behavioral and Brain Sciences, 30, 1-61.
Hammond, K.R., & Stewart, T.R. (2001). The essential Brunswik: Beginnings, explications, and applications. New York: Oxford University Press.
Hastie, R. (1986). Review essay: Experimental evidence on group accuracy. In B. Grofman & G. Owen (Eds.), Information pooling and group decision making. Greenwich, CT: JAI Press.
Hastie, R., & Kameda, T. (2005). The robust beauty of majority rules in group decisions. Psychological Review, 112, 494-508.
Hastie, R., Penrod, S.D., & Pennington, N. (1983). Inside the jury. Cambridge: Harvard University Press.
Henrich, J., & Boyd, R. (1998). The evolution of conformist transmission and the emergence of between-group differences. Evolution and Human Behavior, 19, 215-241.
Herrmann, B., Thöni, C., & Gächter, S. (2008). Antisocial punishment across societies. Science, 319, 1362-1367.
Hung, A. A., & Plott, C. R. (2001). Information cascades: Replication and an extension to Majority Rule and conformity-rewarding institutions. American Economic Review, 91, 1508-1520.
Ingham, A.G., Levinger, G., Graves, J. and Peckham, V. (1974). The Ringelmann Effect: Studies of group size and group performance. Journal of Experimental Social Psychology, 10, 371-84.
Janis, I. L. (1972). Victims of groupthink. Boston, MA: Houghton Mifflin.
Kameda, T., & Nakanishi, D. (2002). Cost-benefit analysis of social/cultural learning in a non-stationary uncertain environment: An evolutionary simulation and an experiment with human subjects. Evolution and Human Behavior, 23, 373-393.
Kameda, T., & Nakanishi, D. (2003). Does social/cultural learning increase human adaptability? Rogers‘s question revisited. Evolution and Human Behavior, 24, 242-260.
Kameda, T., Takezawa, M., & Hastie, R. (2003). The logic of social sharing: An evolutionary game analysis of adaptive norm development. Personality and Social Psychology Review, 7, 2-19.
Kameda, T., Takezawa, M., Ohtsubo, Y., & Hastie, R. (2010). Are our minds fundamentally egalitarian? Adaptive bases of different sociocultural models about distributive justice. In M. Schaller, A. Norenzyan, S.J. Heine, T. Yamagishi & T. Kameda (Eds.), Evolution, culture, and the human mind (pp.151-163). New York: Psychology Press. Kameda, T., & Tamura, R. (2007). ―To eat or not to be eaten?‖ Collective risk-monitoring in groups. Journal of Experimental Social Psychology, 43, 168-179.
Kameda, T., & Tindale, R. S. (2006). Groups as adaptive devices: Human docility and group aggregation mechanisms in evolutionary context. In M. Schaller, J. Simpson, & D. Kenrick (Eds.), Evolution and Social Psychology. New York: Psychology Press.
Kameda, T., Tindale, R. S., & Davis, J. H. (2003). Cognitions, preferences, and social sharedness: Past, present, and future directions in group decision making. In S.L. Schneider & J. Shanteau (Eds.), Emerging perspectives on judgment and decision research (pp.215-240). Cambridge, UK: Cambridge University Press.
Kenrick, D. T., Li, N. L., & Butner, J. (2003). Dynamical evolutionary psychology: Individual decision rules and emergent social norms. Psychological Review, 110, 3-28.
Kerr, N.L. (1983). Motivation losses in small groups: A social dilemma analysis. Journal of Personality and Social Psychology, 45, 819-828
Kerr, N.L., MacCoun, R., & Kramer, G.P. (1996). Bias in judgment: Comparing individuals and groups. Psychological Review, 103, 687-719.
Kerr, N.L., & Tindale, R.S. (2004). Group performance and decision making. Annual Review of Psychology, 55, 623-655.
Knack, S. (1992). Civic norms, social norms and voter turn out. Rationality and Society, 4, 133-156.
Kravitz, D.A. and Martin, B. (1986). Ringelmann rediscovered: The original article. Journal of Personality and Social Psychology, 50, 936-941.
Larrick, R.P., & Soll, J.B. (2006). Intuitions about combining opinions: Misappreciation of the averaging principle. Management Science, 112, 111-127.
Larson, J.R. (2009). In search of synergy in small group performance. New York: Psychology Press.
Latané, B., Williams, K., & Harkins, S. (1979). Many hands make light the work: The causes and consequences of social loafing. Journal of Personality and Social Psychology, 37, 822-832.
Laughlin, P. R. (1980). Social combination processes of cooperative problem-solving groups on verbal intellectual tasks. In M. Fishbein (Ed.), Progress in social psychology, Vol. 1 (pp.127-155). Hillsdale, NJ: Erlbaum.
Laughlin, P. R. (2006). Groups perform better than the best individuals on letters-to-numbers problems: Effects of group size. Journal of Personality and Social Psychology, 90, 644-651.
Laury, S. K., & Holt, C. A. (2008). Voluntary provision of public goods: Experimental results with interior Nash Equilibria. In C. R. Plott & V. L. Smith (Eds.), Handbook of experimental economics results. Vol. 1(pp.792-801). New York: Elsevier.
Laury, S. K., Walker, J., & Williams, A. (1999). The voluntary provision of a pure public good with diminishing marginal returns. Public Choice, 99, 139-160.
Ledyard, J. (1995). Public goods experiments. In J. Kagel & A. Roth (Eds.), Handbook of experimental economics (pp.111-173). Princeton, NJ: Princeton University Press.
Lorge, I., & Solomon, H. (1955). Two models of group behavior in the solution of eureka-type problems. Psychometrica, 20, 139-148.
Lupia, A. (2002). Deliberation disconnected: What it takes to improve civic competence. Law and Contemporary Problems, 65, 132-150.
Makradakis, S., & Winkler, R.L. (1983). Averages of forecasts: Some empirical results. Management Science, 29, 987-996.
Maynard Smith, J. (1982). Evolution and the theory of games. Cambridge: Cambridge University Press.
McGrath, J.E. (1984). Groups: Interaction and performance. Englewood Cliffs, NJ: Prentice-Hall.
Meehl, P.E. (1997). The selfish voter paradox and the thrown-away vote argument. American Political Science Review, 71, 11-30.
Motro, U. (1991). Co-operation and defection: Playing the Field and the ESS. Journal of Theoretical Biology, 151, 145-154.
Mueller, D.C. (2003). Public choice III. New York: Cambridge University Press. Opp, K-D. (2001). Why do people vote? The cognitive-illusion proposition and its test. Kyklos, 54, 355-378.
Palfrey, T., & Rosenthal, H. (1983). A strategic calculus of voting. Public Choice, 41, 7-53.
Posner, E. A. (2000). Law and social norms. Cambridge, MA: Harvard University Press.
Regenwetter, M., Grofman, B., Marley, A. A. J., & Tsetlin, I. (2006). Behavioral Social Choice. Cambridge, UK: Cambridge University Press.
Regenwetter, M., Ho, M.-H. & Tsetlin, I. (2007). Sophisticated approval voting, ignorance priors, and plurality heuristics: A behavioral social choice analysis in a Thurstonian framework. Psychological Review, 114, 994-1114.
Riker, W.H., & Ordeshook, P. (1973). An introduction to positive political theory. Englewood Cliffs, NJ: Prentice-Hall.
Saijo, T., & Yamato, T. (1999). A Voluntary participation Game with a non-excludable public good. Journal of Economic Theory, 84, 227-242.
Schelling, T.C. (1978). Micromotives and macrobehavior. New York: Norton.
Sefton, M., & Steinberg, R. (1996). Reward structures in public goods experiments. Journal of Public Economics, 61, 263-287.
Smith, E.R., & Conrey, F.R. (2007). Agent-based modeling: A new approach for theory building in social psychology. Personality and Social Psychology Review, 11, 87-104.
Smoke, W. H., & Zajonc, R. B. (1962). On the reliability of group judgments and decisions. In J. Criswell, H. Solomon, & P. Suppes (Eds.), Mathematical methods in group processes (pp.322-333). Stanford, CA: Stanford University Press.
Sorkin, R. D., Hays, C., & West, R. (2001). Signal-detection analysis of group decision making. Psychological Review, 108, 183-203.
Steiner, I.D. (1972). Group process and productivity. New York: Academic Press.
Surowiecki, J. (2004). The wisdom of crowds. New York: Doubleday.
Taylor, D.W., & Faust, W.L. (1952). Twenty questions: Efficiency in problem solving as a function of size of group. Journal of Experimental Psychology, 44, 360-368.
Thompson, L.L. (2004, 2nd edition). Making the team: A guide for managers. Upper Saddle River, NJ: Pearson Education.
Tinbergen, N. (1963). On aims and methods in ethology. Zeitschrift für Tierpsychologie, 20, 410-433.
Trivers, R.L. (1971). The evolution of reciprocal altruism. Quarterly Review of Biology, 46, 35-57.
Williams, K. D., Harkins, S. G., & Karau, S. J. (2003). Social performance. In M. A. Hogg & J. Cooper (Eds.), Sage handbook of social psychology (pp. 327-346). London: Sage.
Wilson, D.S. (1994). Reintroducing group selection to the human behavior sciences. Behavior and Brain Sciences, 17, 585-654.