An Axiomatic Approach to Arbitration and its Application in Bargaining Games
We define an arbitration problem as the triplet of a bargaining set and the offers submitted by two players. We characterize the solution to a class of arbitration problems using the axiomatic approach. The axioms we impose on the arbitration solution are "Symmetry in Offers,'' "Invariance'' and "Pareto Optimality.'' The key axiom, "Symmetry in Offers,'' requires that whenever players' offers are symmetric, the arbitrated outcome should also be symmetric. We find that there exists a unique arbitration solution, called the symmetric arbitration solution, that satisfies all three axioms. We then analyze a simultaneous-offer game and an alternating-offer game. In both games, the symmetric arbitration solution is used to decide the outcome whenever players cannot reach agreement by themselves. We find that in both games, if the discount factor of players is close to 1, then the unique subgame perfect equilibrium outcome coincides with the Kalai-Smorodinsky solution outcome.
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Volume (Year): 12 (2012)
Issue (Month): 1 (September)
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References listed on IDEAS
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- 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.
- Serrano, Roberto, 1997. "A comment on the Nash program and the theory of implementation," Economics Letters, Elsevier, vol. 55(2), pages 203-208, August.
- Howard, J. V., 1992. "A social choice rule and its implementation in perfect equilibrium," Journal of Economic Theory, Elsevier, vol. 56(1), pages 142-159, February.
- Rong, Kang, 2012. "Alternating-offer games with final-offer arbitration," Games and Economic Behavior, Elsevier, vol. 76(2), pages 596-610.
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