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Risk Aversion and the Relationship between Nash's Solution and Subgame Perfect Equilibrium of Sequential Bargaining

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  • Roth, Alvin E

Abstract

This article presents some new, intuitive derivations of several results in the bargaining literatrue. These new derivations clarify the relationshps among these results and allow them to be understood in a unified way. These results concern the way in which the risk posture of the bargainers affects the outcome of bargaining as predicted by Nash's (axiomatic) solution of a static bargaining model (Nash, 1950) and by the subgame perfect equilibrium of the infinite horizon sequential bargaining game analyzed by Rubinstein (1982). The analogous, experimentally testable predictions for finite horizon sequential bargaining games are also presented. Copyright 1989 by Kluwer Academic Publishers

Suggested Citation

  • Roth, Alvin E, 1989. "Risk Aversion and the Relationship between Nash's Solution and Subgame Perfect Equilibrium of Sequential Bargaining," Journal of Risk and Uncertainty, Springer, vol. 2(4), pages 353-365, December.
    • Handle: RePEc:kap:jrisku:v:2:y:1989:i:4:p:353-65
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    Cited by:

    1. Imai, Haruo & Salonen, Hannu, 2000. "The representative Nash solution for two-sided bargaining problems," Mathematical Social Sciences, Elsevier, vol. 39(3), pages 349-365, May.
    2. Volij, Oscar & Winter, Eyal, 2002. "On risk aversion and bargaining outcomes," Games and Economic Behavior, Elsevier, vol. 41(1), pages 120-140, October.
    3. Britz, V. & Herings, P.J.J. & Predtetchinski, A., 2010. "Theory of the firm: bargaining and competitive equilibrium," Research Memorandum 057, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    4. Kohlscheen, Emanuel & O’Connell, Stephen, 2008. "On Risk Aversion in the Rubinstein Bargaining Game," The Warwick Economics Research Paper Series (TWERPS) 878, University of Warwick, Department of Economics.
    5. Di Corato, Luca, 2013. "Profit sharing under the threat of nationalization," Resource and Energy Economics, Elsevier, vol. 35(3), pages 295-315.
    6. Volker Britz & P. Herings & Arkadi Predtetchinski, 2013. "A bargaining theory of the firm," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(1), pages 45-75, September.
    7. Emilio Calvo & Esther Gutiérrez-López, 2016. "A strategic approach for the discounted Shapley values," Theory and Decision, Springer, vol. 80(2), pages 271-293, February.
    8. Herings, P.J.J. & Predtetchinski, A., 2011. "Procedurally fair taxation," Research Memorandum 024, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    9. White, Lucy, 2006. "Prudence in Bargaining: The Effect of Uncertainty on Bargaining Outcomes," CEPR Discussion Papers 5822, C.E.P.R. Discussion Papers.
    10. Calvo, Emilio & Gutiérrez-López, Esther, 2021. "Recursive and bargaining values," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 97-106.
    11. Rausser, Gordon C. & Simon, Leo K., 2016. "Nash bargaining and risk aversion," Games and Economic Behavior, Elsevier, vol. 95(C), pages 1-9.
    12. Embrey, Matthew & Hyndman, Kyle & Riedl, Arno, 2021. "Bargaining with a residual claimant: An experimental study," Games and Economic Behavior, Elsevier, vol. 126(C), pages 335-354.
    13. Emilio Calvo & Esther Gutiérrez-López, 2016. "A strategic approach for the discounted Shapley values," Theory and Decision, Springer, vol. 80(2), pages 271-293, February.
    14. P. Herings & Arkadi Predtetchinski, 2015. "Procedural fairness and redistributive proportional tax," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(2), pages 333-354, June.
    15. Zeng, Xiaohua & Dasgupta, Srabana & Weinberg, Charles B., 2014. "The effects of a “no-haggle” channel on marketing strategies," International Journal of Research in Marketing, Elsevier, vol. 31(4), pages 434-443.

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