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

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  • Selten,Reinhard

    (University of Bonn)

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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Bibliographic Info

Paper provided by University of Bonn, Germany in its series Discussion Paper Serie B with number 252.

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Handle: RePEc:bon:bonsfb:252

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Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
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Web page: http://www.bgse.uni-bonn.de

Related research

Keywords: Bipolar games; Game theory; Risk dominance measure; Linear incentives; Two-person game; Normal-form games;

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References

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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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Cited by:
  1. 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.
  2. Werner Güth, 2002. "On the Inconsistency of Equilibrium Refinement," Theory and Decision, Springer, vol. 53(4), pages 371-392, December.
  3. repec:hal:wpaper:hal-00713871 is not listed on IDEAS
  4. Deisuke Oyama & Satoru Takahashi & Josef Hofbauer, 2003. "Monotone Methods for Equilibrium Selection under Perfect Foresight Dynamics," Vienna Economics Papers 0318, University of Vienna, Department of Economics.
  5. Quazi Shahriar & Subhasish Dugar, 2009. "Focal Points and Economic Efficiency: Role of Relative Label Salience," Working Papers 0033, San Diego State University, Department of Economics.
  6. Yannick Viossat & Andriy Zapechelnyuk, 2013. "No-regret Dynamics and Fictitious Play," Post-Print hal-00713871, HAL.
  7. Jon X. Eguia & Aniol Llorente-Saguer & Rebecca Morton & Antonio Nicolò, 2014. "Equilibrium Selection in Sequential Games with Imperfect Information," Working Papers 717, Queen Mary, University of London, School of Economics and Finance.
  8. 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.
  9. 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.
  10. Keser, Claudia & Suleymanova, Irina & Wey, Christian, 2011. "Technology adoption in markets with network effects: Theory and experimental evidence," DICE Discussion Papers 33, Heinrich‐Heine‐Universität Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).
  11. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
  12. 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, 09.
  13. 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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