An exact non-cooperative support for the sequential Raiffa solution
This article provides an exact non-cooperative foundation of the sequential Raiffa solution for two-person bargaining games. Based on an approximate foundation due to Myerson (1991) for any two-person bargaining game (S, d) an extensive form game GS,d is defined that has an infinity of weakly subgame perfect equilibria whose payoff vectors coincide with that of the sequential Raiffa solution of (S, d). Moreover all those equilibria share the same equilibrium path consisting of proposing the Raiffa solution and accepting it in the first stage of the game. By a modification of GS,d the analogous result is provided for subgame perfect equilibria. These results immediately extend to implementation of a sequential Raiffa (solution based) social choice rule in subgame perfect equilibrium.
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- Roberto Serrano, 2005.
"Fifty years of the Nash program, 1953-2003,"
Fundación SEPI, vol. 29(2), pages 219-258, May.
- Trockel, Walter, 2011. "An axiomatization of the sequential Raiffa solution," Center for Mathematical Economics Working Papers 425, Center for Mathematical Economics, Bielefeld University.
- Serrano, Roberto, 1997.
"A comment on the Nash program and the theory of implementation,"
Elsevier, vol. 55(2), pages 203-208, August.
- Roberto Serrano, 1996. "A comment on the Nash program and the theory of implementation," Economics Working Papers 161, Department of Economics and Business, Universitat Pompeu Fabra.
- Walter Trockel, 2002.
"Integrating the Nash program into mechanism theory,"
Review of Economic Design,
Springer;Society for Economic Design, vol. 7(1), pages 27-43.
- Trockel,W., 1999. "Integrating the Nash program into mechanism theory," Center for Mathematical Economics Working Papers 305, Center for Mathematical Economics, Bielefeld University.
- Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
- Haake, Claus-Jochen & Trockel, Walter, 2011.
"On Maskin monotonicity of solution based social choice rules,"
Center for Mathematical Economics Working Papers
393, Center for Mathematical Economics, Bielefeld University.
- Claus-Jochen Haake & Walter Trockel, 2010. "On Maskin monotonicity of solution based social choice rules," Review of Economic Design, Springer;Society for Economic Design, vol. 14(1), pages 17-25, March.
- Walter Trockel, 2000. "Implementations of the Nash solution based on its Walrasian characterization," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 16(2), pages 277-294.
- Salonen, Hannu, 1988. "Decomposable solutions for N -- person bargaining games," European Journal of Political Economy, Elsevier, vol. 4(3), pages 333-347.
- Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
- Emily Tanimura & Sylvie Thoron, 2008. "A mechanism for solving bargaining problems between risk averse players," Working Papers halshs-00325695, HAL.
- Bergin, James & Duggan, John, 1999. "An Implementation-Theoretic Approach to Non-cooperative Foundations," Journal of Economic Theory, Elsevier, vol. 86(1), pages 50-76, May.
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