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Equilibrium Properties of Finite Binary Choice Games

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  • Adriaan R. Soetevent

Abstract

This paper derives a complete characterization for the equilibrium properties of a binary choice interaction model with a finite number of agents - in particular the correspondence between the interaction strength, the number of agents, and the set of equilibria. For the class of games considered, the results may prove to be useful in developing efficient algorithms for finding all equilibria

Suggested Citation

  • Adriaan R. Soetevent, 2004. "Equilibrium Properties of Finite Binary Choice Games," Computing in Economics and Finance 2004 157, Society for Computational Economics.
    • Handle: RePEc:sce:scecf4:157
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    References listed on IDEAS

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    1. Edward L. Glaeser & Bruce Sacerdote & José A. Scheinkman, 1996. "Crime and Social Interactions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(2), pages 507-548.
    2. Kooreman, Peter & Soetevent, Adriaan, 2002. "A discrete choice model with social interactions: an analysis of high school teen behavior," CCSO Working Papers 200214, University of Groningen, CCSO Centre for Economic Research.
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    6. Bernheim, B Douglas, 1994. "A Theory of Conformity," Journal of Political Economy, University of Chicago Press, vol. 102(5), pages 841-877, October.
    7. Abhijit V. Banerjee, 1992. "A Simple Model of Herd Behavior," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(3), pages 797-817.
    8. Caroline Hoxby, 2000. "Peer Effects in the Classroom: Learning from Gender and Race Variation," NBER Working Papers 7867, National Bureau of Economic Research, Inc.
    9. repec:dgr:rugccs:200214 is not listed on IDEAS
    10. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
    11. Sushil Bikhchandani & David Hirshleifer & Ivo Welch, 1998. "Learning from the Behavior of Others: Conformity, Fads, and Informational Cascades," Journal of Economic Perspectives, American Economic Association, vol. 12(3), pages 151-170, Summer.
    12. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
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    Cited by:

    1. Yannis Ioannides, 2006. "Topologies of social interactions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(3), pages 559-584, August.

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    More about this item

    Keywords

    discrete choice; social interactions; multiple equilibria;
    All these keywords.

    JEL classification:

    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions

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