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Fictitious play in 2 x n games

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  • Berger, Ulrich

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  • Berger, Ulrich, 2005. "Fictitious play in 2 x n games," Journal of Economic Theory, Elsevier, vol. 120(2), pages 139-154, February.
  • Handle: RePEc:eee:jetheo:v:120:y:2005:i:2:p:139-154
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    References listed on IDEAS

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    1. Milgrom, Paul & Roberts, John, 1991. "Adaptive and sophisticated learning in normal form games," Games and Economic Behavior, Elsevier, vol. 3(1), pages 82-100, February.
    2. Thorlund-Petersen, Lars, 1990. "Iterative computation of cournot equilibrium," Games and Economic Behavior, Elsevier, vol. 2(1), pages 61-75, March.
    3. Deschamps, Robert, 1975. "An algorithm of game theory applied to the duopoly problem," European Economic Review, Elsevier, vol. 6(2), pages 187-194, April.
    4. Aner Sela, 1999. "Fictitious play in `one-against-all' multi-player games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(3), pages 635-651.
    5. Diana Richards, 1997. "The geometry of inductive reasoning in games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 185-193.
    6. Gaunersdorfer Andrea & Hofbauer Josef, 1995. "Fictitious Play, Shapley Polygons, and the Replicator Equation," Games and Economic Behavior, Elsevier, vol. 11(2), pages 279-303, November.
    7. Gilboa, Itzhak & Matsui, Akihiko, 1991. "Social Stability and Equilibrium," Econometrica, Econometric Society, vol. 59(3), pages 859-867, May.
    8. Harris, Christopher, 1998. "On the Rate of Convergence of Continuous-Time Fictitious Play," Games and Economic Behavior, Elsevier, vol. 22(2), pages 238-259, February.
    9. Foster, Dean P. & Young, H. Peyton, 1998. "On the Nonconvergence of Fictitious Play in Coordination Games," Games and Economic Behavior, Elsevier, vol. 25(1), pages 79-96, October.
    10. Sela, Aner, 2000. "Fictitious Play in 2 x 3 Games," Games and Economic Behavior, Elsevier, vol. 31(1), pages 152-162, April.
    11. Monderer, Dov & Sela, Aner, 1996. "A2 x 2Game without the Fictitious Play Property," Games and Economic Behavior, Elsevier, vol. 14(1), pages 144-148, May.
    12. Matsui, Akihiko, 1992. "Best response dynamics and socially stable strategies," Journal of Economic Theory, Elsevier, vol. 57(2), pages 343-362, August.
    13. Garcia, Alfredo & Reaume, Daniel & Smith, Robert L., 2000. "Fictitious play for finding system optimal routings in dynamic traffic networks," Transportation Research Part B: Methodological, Elsevier, vol. 34(2), pages 147-156, February.
    14. Monderer, Dov & Shapley, Lloyd S., 1996. "Fictitious Play Property for Games with Identical Interests," Journal of Economic Theory, Elsevier, vol. 68(1), pages 258-265, January.
    15. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
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    Citations

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    Cited by:

    1. Viossat, Yannick & Zapechelnyuk, Andriy, 2013. "No-regret dynamics and fictitious play," Journal of Economic Theory, Elsevier, vol. 148(2), pages 825-842.
    2. Andriy Zapechelnyuk, 2009. "Limit Behavior of No-regret Dynamics," Discussion Papers 21, Kyiv School of Economics.
    3. repec:hal:wpaper:hal-00713871 is not listed on IDEAS
    4. Ulrich Berger, 2012. "Non-algebraic Convergence Proofs for Continuous-Time Fictitious Play," Dynamic Games and Applications, Springer, vol. 2(1), pages 4-17, March.
    5. Manuela A. D. Aguiar & Sofia B. S. D. Castro, 2008. "Chaotic and deterministic switching in a two-person game," FEP Working Papers 305, Universidade do Porto, Faculdade de Economia do Porto.
    6. Elliott O. Wagner, 2013. "The Dynamics of Costly Signaling," Games, MDPI, Open Access Journal, vol. 4(2), pages 1-19, April.
    7. Robert Hoffmann, 2006. "The Cognitive Origins of Social Stratification," Computational Economics, Springer;Society for Computational Economics, vol. 28(3), pages 233-249, October.
    8. Berger, Ulrich, 2016. "Learning to trust, learning to be trustworthy," Department of Economics Working Paper Series 4806, WU Vienna University of Economics and Business.
    9. Berger, Ulrich & Hofbauer, Josef, 2006. "Irrational behavior in the Brown-von Neumann-Nash dynamics," Games and Economic Behavior, Elsevier, vol. 56(1), pages 1-6, July.
    10. Ulrich Berger, 2004. "Some Notes on Learning in Games with Strategic Complementarities," Game Theory and Information 0409001, University Library of Munich, Germany.
    11. Ulrich Berger, 2004. "Two More Classes of Games with the Fictitious Play Property," Game Theory and Information 0408003, University Library of Munich, Germany.
    12. Ulrich Berger, 2016. "Learning to trust, learning to be trustworthy," Department of Economics Working Papers wuwp212, Vienna University of Economics and Business, Department of Economics.
    13. Mario Bravo & Mathieu Faure, 2013. "Reinforcement Learning with Restrictions on the Action Set," AMSE Working Papers 1335, Aix-Marseille School of Economics, Marseille, France, revised 01 Jul 2013.

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