Bolle, Friedel and Breitmoser, Yves and Otto, Philipp E. (2011): A positive theory of cooperative games: The logit core and its variants.
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This paper proposes two generalization of the core and evaluates them on experimental data of assignment games (workers and firms negotiate wages and matching). The generalizations proposed allow for social utility components (e.g. altruism) and random utility components (e.g. logistic perturbations). These generalizations are well-established in analyses of non-cooperative games, and they prove to be both descriptive and predictive in the assignment games analyzed here. The "logit core" allows us to define a "stochastically more stable" relation on the outcome set, which has intuitive implications, and it fits better than alternative approaches such as random behavior cores and regression modeling.
|Item Type:||MPRA Paper|
|Original Title:||A positive theory of cooperative games: The logit core and its variants|
|Keywords:||cooperative games, core, random utility, social preferences, laboratory experiment|
|Subjects:||C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C71 - Cooperative Games
C - Mathematical and Quantitative Methods > C9 - Design of Experiments > C90 - General
D - Microeconomics > D6 - Welfare Economics > D64 - Altruism; Philanthropy
|Depositing User:||Yves Breitmoser|
|Date Deposited:||20. Aug 2011 16:55|
|Last Modified:||16. Feb 2013 08:32|
Bosch-Domenech, A., Montalvo, J., Nagel, R., and Satorra, A. (2002). One, two,(three), infinity,. . . : Newspaper and lab beauty-contest experiments. American Economic Review, 92(5):1687–1701.
Burman, P. (1989). A comparative study of ordinary cross-validation, v-fold cross-validation and the repeated learning-testing methods. Biometrika, 76(3):503.
Camerer, C. (2003). Behavioral game theory: Experiments in strategic interaction. Princeton, NJ: Princeton University Press.
Camerer, C., Ho, T., and Chong, J. (2004). A cognitive hierarchy model of games. Quarterly Journal of Economics, 119(3):861–898.
Chen, Y. and Sönmez, T. (2002). Improving efficiency of on-campus housing: An experimental study. The American Economic Review, 92(5):1669–1686.
Chen, Y. and Sönmez, T. (2006). School choice: an experimental study. Journal of Economic Theory, 127(1):202–231.
Conte, A., Hey, J., and Moffatt, P. (2011). Mixture models of choice under risk. Journal of Econometrics, 162(1):79–88.
Costa-Gomes, M. and Crawford, V. (2006). Cognition and behavior in two-person guessing games: An experimental study. American Economic Review, 96(5):1737–1768.
Costa-Gomes, M., Crawford, V., and Iriberri, N. (2009). Comparing models of strategic thinking in van huyck, battalio, and beil’s coordination games. Journal of the European Economic Association, 7(2-3):365–376.
Crawford, V. and Knoer, E. (1981). Job matching with heterogeneous firms and workers. Econometrica, 49(2):437–50.
Driessen, T. (1998). A note on the inclusion of the kernel in the core of the bilateral assignment game. International Journal of Game Theory, 27(2):301–303.
Gale, D. and Shapley, L. (1962). College admissions and the stability of marriage. American Mathematical Monthly, 69(1):9–15.
Goeree, J. and Holt, C. (1999). Stochastic game theory: for playing games, not just for doing theory. Proc Natl Acad Sci US A, 96(19):10564–10567.
Goeree, J. and Holt, C. (2004). A model of noisy introspection. Games and Economic Behavior, 46(2):365–382.
Halaburda, H. (2010). Unravelling in two-sided matching markets and similarity of preferences. Games and Economic Behavior, 69(2):365–393.
Hamers, H., Klijn, F., Solymosi, T., Tijs, S., and Pere Villar, J. (2002). Assignment games satisfy the coma-property. Games and Economic Behavior, 38(2):231–239.
Hey, J. (1998). An application of Selten’s measure of predictive success. Mathematical Social Sciences, 35(1):1–15.
Hey, J. (2005). Why we should not be silent about noise. Experimental Economics, 8(4):325–345.
Hey, J., Lotito, G., and Maffioletti, A. (2010). The descriptive and predictive adequacy of theories of decision making under uncertainty/ambiguity. Journal of risk and uncertainty, 41(2):81–111.
Ho, T., Camerer, C., and Weigelt, K. (1998). Iterated dominance and iterated best response in experimental "p-beauty contests". American Economic Review, 88(4):947–969.
Kagel, J. and Roth, A. (2000). The dynamics of reorganization in matching markets: A laboratory experiment motivated by a natural experiments. Quarterly Journal of Economics, 115(1):201–235.
Keane, M. (2010). A structural perspective on the experimentalist school. The Journal of Economic Perspectives, 24(2):47–58.
Keane, M. and Wolpin, K. (2007). Exploring the usefulness of a nonrandom holdout sample for model validation: Welfare effects on female behavior. International Economic Review, 48(4):1351–1378.
Kelso Jr, A. and Crawford, V. (1982). Job matching, coalition formation, and gross substitutes. Econometrica, 50(6):1483–1504.
Koopmans, T. and Beckmann, M. (1957). Assignment problems and the location of economic activities. Econometrica, 25(1):53–76.
Loomes, G. (2005). Modelling the stochastic component of behaviour in experiments: Some issues for the interpretation of data. Experimental Economics, 8(4):301–323.
McKelvey, R. and Palfrey, T. (1995). Quantal response equilibria for normal form games. Games and Economic Behavior, 10(1):6–38.
Nalbantian, H. and Schotter, A. (1995). Matching and efficiency in the baseball free-agent system: An experimental examination. Journal of Labor Economics, 13(1):1–31.
Núñez, M. and Rafels, C. (2003). The assignment game: the t-value. International Journal of Game Theory, 31(3):411–422.
Olson, M. and Porter, D. (1994). An experimental examination into the design of decentralized methods to solve the assignment problem with and without money. Economic Theory, 4(1):11–40.
Otto, P. and Bolle, F. (2011). Matching markets with price bargaining. Experimental Economics, 14(3):322–348.
Pais, J. and Pintér, Á. (2008). School choice and information: An experimental study on matching mechanisms. Games and Economic Behavior, 64(1):303–328.
Pérez-Castrillo, D. and Sotomayor, M. (2002). A simple selling and buying procedure. Journal of Economic Theory, 103(2):461–474.
Quint, T. (1991a). Characterization of cores of assignment games. International Journal of Game Theory, 19(4):413–420.
Quint, T. (1991b). The core of an m-sided assignment game. Games and Economic Behavior, 3(4):487–503. Quint, T. (1996). On one-sided versus two-sided matching games. Games and Economic Behavior, 16(1):124–134.
Roth, A. (1985). Common and conflicting interests in two-sided matching markets. European Economic Review, 27(1):75–96.
Rust, J. (2010). Comments on: "structural vs. atheoretic approaches to econometrics" by Michael Keane. Journal of Econometrics, 156(1):21–24.
Selten, R. (1972). Equal share analysis of characteristic function experiments. In Sauermann, H., editor, Contributions to Experimental Economics (Beiträge Zur Experimentellen Wirtschaftsforschung), pages 130–165. Mohr Siebeck.
Selten, R. (1991). Properties of a measure of predictive success. Mathematical Social Sciences, 21(2):153–167.
Shapley, L. and Shubik, M. (1972). The assignment game i: The core. International Journal of Game Theory, 1(1):111–130.
Solymosi, T. and Raghavan, T. (2001). Assignment games with stable core. International Journal of Game Theory, 30(2):177–185.
Sotomayor, M. (1999). The lattice structure of the set of stable outcomes of the multiple partners assignment game. International Journal of Game Theory, 28(4):567–583.
Stahl, D. and Wilson, P. (1995). On players’ models of other players: Theory and experimental evidence. Games and Economic Behavior, 10(1):218–254.
Tenbrunsel, A., Wade-Benzoni, K., Moag, J., and Bazerman, M. (1999). The negotiation matching process: Relationships and partner selection. Organizational Behavior and Human Decision Processes, 80(3):252–283.
Toda, M. (2005). Axiomatization of the core of assignment games. Games and Economic Behavior, 53(2):248–261.
Turocy, T. (2005). A dynamic homotopy interpretation of the logistic quantal response equilibrium correspondence. Games and Economic Behavior, 51(2):243–263.
Vuong, Q. (1989). Likelihood ratio tests for model selection and non-nested hypotheses. Econometrica, 57(2):307–333.
Weizsäcker, G. (2003). Ignoring the rationality of others: evidence from experimental normal-form games. Games and Economic Behavior, 44(1):145–171.
Wilcox, N. (2008). Stochastic models for binary discrete choice under risk: A critical primer and econometric comparison. Risk aversion in experiments, 12:197–292.
Wilcox, N. (2011). Stochastically more risk averse: A contextual theory of stochastic discrete choice under risk. Journal of Econometrics, 162(1):89–104.
Zhang, P. (1993). Model selection via multifold cross validation. The Annals of Statistics, 21(1):299–313.
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