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On Risk Aversion in the Rubinstein Bargaining Game

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Author Info
Kohlscheen, Emanuel (Department of Economics, University of Warwick,)
O’Connell, Stephen (Department of Economics, Swarthmore College,)

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Abstract

We derive closed-form solutions for the Rubinstein alternating offers game for cases where the two players have (possibly asymmetric) utility functions that belong to the HARA class and discount the future at a constant rate. We show that risk aversion may increase a bargainers payoff. This result - which contradicts Roth’s 1985 theorem tying greater risk neutrality to a smaller payoff - does not rely on imperfect information or departures from expected utility maximization.

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File URL: http://www2.warwick.ac.uk/fac/soc/economics/research/workingpapers/publications/twerp_878.pdf
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Paper provided by University of Warwick, Department of Economics in its series The Warwick Economics Research Paper Series (TWERPS) with number 878.

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Length: 15 pages
Date of creation: 2008
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Handle: RePEc:wrk:warwec:878

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  1. Binmore, Ken & Osborne, Martin J. & Rubinstein, Ariel, 1992. "Noncooperative models of bargaining," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 7, pages 179-225 Elsevier. [Downloadable!] (restricted)
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  2. Shaked, Avner & Sutton, John, 1984. "Involuntary Unemployment as a Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 52(6), pages 1351-64, November. [Downloadable!] (restricted)
  3. Roth, Alvin E, 1985. "A Note on Risk Aversion in a Perfect Equilibrium Model of Bargaining," Econometrica, Econometric Society, vol. 53(1), pages 207-11, January. [Downloadable!] (restricted)
  4. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January. [Downloadable!] (restricted)
  5. Volij, Oscar & Winter, Eyal, 2002. "On risk aversion and bargaining outcomes," Games and Economic Behavior, Elsevier, vol. 41(1), pages 120-140, October. [Downloadable!] (restricted)
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  6. Roth, Alvin E & Rothblum, Uriel G, 1982. "Risk Aversion and Nash's Solution for Bargaining Games with Risky Outcomes," Econometrica, Econometric Society, vol. 50(3), pages 639-47, May. [Downloadable!] (restricted)
  7. Bulow, Jeremy & Rogoff, Kenneth, 1989. "A Constant Recontracting Model of Sovereign Debt," Journal of Political Economy, University of Chicago Press, vol. 97(1), pages 155-78, February. [Downloadable!] (restricted)
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  8. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer. [Downloadable!] (restricted)
  9. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December. [Downloadable!] (restricted)
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  10. 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 353-65, December.
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