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An axiomatic theory of a risk dominance measure for bipolar games with linear incentives

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  • Selten, Reinhard

Abstract

Bipolar games are normal form games with two pure strategies for each player and with two strict equilibrium points without common equilibrium strategies. A normal form game has linear incentives, if for each player the difference between the payoffs for any two pure strategies depends linearly on the probabilities in the mixed strategies used by the other players. A measure of risk dominance between two strict equilibrium points of a bipolar game with linear incentives is characterized by 11 axioms. Journal of Economic Literature Classification Number: C72.

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  • Selten, Reinhard, 1995. "An axiomatic theory of a risk dominance measure for bipolar games with linear incentives," Games and Economic Behavior, Elsevier, vol. 8(1), pages 213-263.
    • Handle: RePEc:eee:gamebe:v:8:y:1995:i:1:p:213-263
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    1. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, December.
    2. John C. Harsanyi & Reinhard Selten, 1972. "A Generalized Nash Solution for Two-Person Bargaining Games with Incomplete Information," Management Science, INFORMS, vol. 18(5-Part-2), pages 80-106, January.
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    1. Dal Bó, Pedro & Fréchette, Guillaume R. & Kim, Jeongbin, 2021. "The determinants of efficient behavior in coordination games," Games and Economic Behavior, Elsevier, vol. 130(C), pages 352-368.
    2. , & , & ,, 2008. "Monotone methods for equilibrium selection under perfect foresight dynamics," Theoretical Economics, Econometric Society, vol. 3(2), June.
    3. Schmidt, David & Shupp, Robert & Walker, James M. & Ostrom, Elinor, 2003. "Playing safe in coordination games:: the roles of risk dominance, payoff dominance, and history of play," Games and Economic Behavior, Elsevier, vol. 42(2), pages 281-299, February.
    4. Cabrales, Antonio & Garcia-Fontes, Walter & Motta, Massimo, 2000. "Risk dominance selects the leader: An experimental analysis," International Journal of Industrial Organization, Elsevier, vol. 18(1), pages 137-162, January.
    5. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    6. Werner Güth, 2002. "On the Inconsistency of Equilibrium Refinement," Theory and Decision, Springer, vol. 53(4), pages 371-392, December.
    7. Keser, Claudia & Suleymanova, Irina & Wey, Christian, 2012. "Technology adoption in markets with network effects: Theory and experimental evidence," Information Economics and Policy, Elsevier, vol. 24(3), pages 262-276.
    8. Kojima, Fuhito, 2006. "Risk-dominance and perfect foresight dynamics in N-player games," Journal of Economic Theory, Elsevier, vol. 128(1), pages 255-273, May.
    9. , & , & ,, 2008. "Monotone methods for equilibrium selection under perfect foresight dynamics," Theoretical Economics, Econometric Society, vol. 3(2), June.
    10. Feltovich, Nick & Iwasaki, Atsushi & Oda, Sobei H., 2010. "Payoff levels, loss avoidance, and equilibrium selection in the Stag Hunt: an experimental study," SIRE Discussion Papers 2010-125, Scottish Institute for Research in Economics (SIRE).
    11. Eguia, Jon X. & Llorente-Saguer, Aniol & Morton, Rebecca & Nicolò, Antonio, 2018. "Equilibrium selection in sequential games with imperfect information," Games and Economic Behavior, Elsevier, vol. 109(C), pages 465-483.
    12. Dugar, Subhasish & Shahriar, Quazi, 2018. "Restricted and free-form cheap-talk and the scope for efficient coordination," Games and Economic Behavior, Elsevier, vol. 109(C), pages 294-310.
    13. Viossat, Yannick & Zapechelnyuk, Andriy, 2013. "No-regret dynamics and fictitious play," Journal of Economic Theory, Elsevier, vol. 148(2), pages 825-842.
    14. Subhasish Dugar & Quazi Shahriar, 2012. "Focal Points and Economic Efficiency: The Role of Relative Label Salience," Southern Economic Journal, John Wiley & Sons, vol. 78(3), pages 954-975, January.
    15. Kets, Willemien & Kager, Wouter & Sandroni, Alvaro, 2022. "The value of a coordination game," Journal of Economic Theory, Elsevier, vol. 201(C).
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    17. Ryan Kendall, 2022. "Decomposing coordination failure in stag hunt games," Experimental Economics, Springer;Economic Science Association, vol. 25(4), pages 1109-1145, September.
    18. Daisuke Oyama & Satoru Takahashi & Josef Hofbauer, 2011. "Perfect foresight dynamics in binary supermodular games," International Journal of Economic Theory, The International Society for Economic Theory, vol. 7(3), pages 251-267, September.
    19. Schade, Christian & Schroeder, Andreas & Krause, Kai Oliver, 2010. "Coordination after gains and losses: Is prospect theory’s value function predictive for games?," Structural Change in Agriculture/Strukturwandel im Agrarsektor (SiAg) Working Papers 59524, Humboldt University Berlin, Department of Agricultural Economics.
    20. Thomas Neumann & Bodo Vogt, 2009. "Do Players’ Beliefs or Risk Attitudes Determine The Equilibrium Selections in 2x2 Coordination Games?," FEMM Working Papers 09024, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.

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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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