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Population Games

Author

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  • Lawrence Blume

    (Cornell University and the Santa Fe Institute)

Abstract

Population games are stochastic processes which explicitly model Nash's (1950) mass action interpretation of Nash equilibrium. The mass action interpretation envisions a population of players for each position in the game, and that players are randomly matched for play. The hope is that the long-run behavior of the processes can be described by a Nash equilibrium. Recent analyses of these population processes finds that sometimes this hope is realized, and sometimes not. Moreover, when it is realized, some Nash equilibria are favored over others. This paper surveys the new literature on poulation games, and discusses the application of population game techniques to strategic situations other than $N$-player random-matching population games.

Suggested Citation

  • Lawrence Blume, 1996. "Population Games," Game Theory and Information 9607001, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpga:9607001
    Note: Type of Document - Postscript File; prepared on a Sun, TeX 3.1415; to print on Postscript; pages: 33 + ii; figures: included.
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    References listed on IDEAS

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    1. Young H. P., 1993. "An Evolutionary Model of Bargaining," Journal of Economic Theory, Elsevier, vol. 59(1), pages 145-168, February.
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    Cited by:

    1. Mäs, Michael & Nax, Heinrich H., 2016. "A behavioral study of “noise” in coordination games," Journal of Economic Theory, Elsevier, vol. 162(C), pages 195-208.
    2. Andriy Zapechelnyuk, 2009. "Limit Behavior of No-regret Dynamics," Discussion Papers 21, Kyiv School of Economics.
    3. Hofbauer, Josef & Sandholm, William H., 2007. "Evolution in games with randomly disturbed payoffs," Journal of Economic Theory, Elsevier, vol. 132(1), pages 47-69, January.
    4. Alós-Ferrer, Carlos & Netzer, Nick, 2010. "The logit-response dynamics," Games and Economic Behavior, Elsevier, vol. 68(2), pages 413-427, March.
    5. Steven N. Durlauf, 1996. "Statistical Mechanics Approaches to Socioeconomic Behavior," NBER Technical Working Papers 0203, National Bureau of Economic Research, Inc.
    6. Morris, Stephen & Ui, Takashi, 2005. "Generalized potentials and robust sets of equilibria," Journal of Economic Theory, Elsevier, vol. 124(1), pages 45-78, September.
    7. Sandholm, William H., 2007. "Pigouvian pricing and stochastic evolutionary implementation," Journal of Economic Theory, Elsevier, vol. 132(1), pages 367-382, January.
    8. Durlauf, S.N., 1997. "Rational Choice and the Study of Science," Working papers 9709r, Wisconsin Madison - Social Systems.
    9. Kandori, Michihiro & Serrano, Roberto & Volij, Oscar, 2008. "Decentralized trade, random utility and the evolution of social welfare," Journal of Economic Theory, Elsevier, vol. 140(1), pages 328-338, May.
    10. Kenneth J. Arrow, 1998. "What Has Economics to Say about Racial Discrimination?," Journal of Economic Perspectives, American Economic Association, vol. 12(2), pages 91-100, Spring.
    11. Sylvain Barde, 2009. "The Google thought experiment: rationality, information and equilibrium in an exchange economy," Documents de Travail de l'OFCE 2009-34, Observatoire Francais des Conjonctures Economiques (OFCE).
    12. Pancs, Romans & Vriend, Nicolaas J., 2007. "Schelling's spatial proximity model of segregation revisited," Journal of Public Economics, Elsevier, vol. 91(1-2), pages 1-24, February.
    13. Dave Colander, 2008. "Complexity, Pedagogy and the Economics of Muddling Through," Middlebury College Working Paper Series 0805, Middlebury College, Department of Economics.
    14. Roland Pongou & Roberto Serrano, 2009. "A dynamic theory of fidelity networks with an application to the spread of HIV/AIDS," Working Papers 2009-03, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
    15. Jacques Durieu & Hans Haller & Philippe Solal, 2011. "Nonspecific Networking," Games, MDPI, vol. 2(1), pages 1-27, February.
    16. Okada, Daijiro & Tercieux, Olivier, 2012. "Log-linear dynamics and local potential," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1140-1164.
    17. Hofbauer,J. & Sandholm,W.H., 2001. "Evolution and learning in games with randomly disturbed payoffs," Working papers 5, Wisconsin Madison - Social Systems.
    18. Jean Louis Dessalles & Denis Phan, 2005. "Emergence in multi-agent systems:Cognitive hierarchy, detection, and complexity reduction," Computing in Economics and Finance 2005 257, Society for Computational Economics.
    19. Ely,J.C. & Sandholm,W.H., 2000. "Evolution with diverse preferences," Working papers 5, Wisconsin Madison - Social Systems.
    20. Philippe Solal & Jacques Durieu, 2005. "Interaction on Hypergraphs," Post-Print hal-00375568, HAL.
    21. Sandholm, William H., 2001. "Potential Games with Continuous Player Sets," Journal of Economic Theory, Elsevier, vol. 97(1), pages 81-108, March.
    22. Hofbauer,J. & Sandholm,W.H., 2001. "Evolution and learning in games with randomly disturbed payoffs," Working papers 5, Wisconsin Madison - Social Systems.
    23. Rambha, Tarun & Boyles, Stephen D., 2016. "Dynamic pricing in discrete time stochastic day-to-day route choice models," Transportation Research Part B: Methodological, Elsevier, vol. 92(PA), pages 104-118.

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    More about this item

    Keywords

    game theory; evolution; Nash equilibrium;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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