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Finite Alternating-Move Arbitration Schemes and the Equal Area Solution

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Author Info
Nejat Anbarci ()

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Abstract

We start by considering the Alternate Strike (AS) scheme, a real-life arbitration scheme where two parties select an arbitrator by alternately crossing off at each round one name from a given panel of arbitrators. We find out that the AS scheme is not invariant to “badâ€\x9D alternatives. We then consider another alternating-move scheme, the Voting by Alternating Offers and Vetoes (VAOV) scheme, which is invariant to bad alternatives. We fully characterize the subgame perfect equilibrium outcome sets of these above two schemes in terms of the rankings of the parties over the alternatives only. We also identify some of the typical equilibria of these above two schemes. We then analyze two additional alternating-move schemes in which players’ current proposals have to either honor or enhance their previous proposals. We show that the first scheme’s equilibrium outcome set coincides with that of the AS scheme, and the equilibrium outcome set of the second scheme coincides with that of the VAOV scheme. Finally, it turns out that all schemes’ equilibrium outcome sets converge to the Equal Area solution’s outcome of cooperative bargaining problem, if the alternatives are distributed uniformly over the comprehensive utility possibility set and as the number of alternatives tends to infinity. Journal of Economic Literature Classification Number: C72. Copyright Springer 2006

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File URL: http://hdl.handle.net/10.1007/s11238-005-4748-9
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Publisher Info
Article provided by Springer in its journal Theory and Decision.

Volume (Year): 61 (2006)
Issue (Month): 1 (08)
Pages: 21-50
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Handle: RePEc:kap:theord:v:61:y:2006:i:1:p:21-50

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Related research
Keywords: The Federal Mediation and Conciliation Service (FMCS); the Alternate Strike (AS) scheme; the Voting by Alternating Offers and Vetoes (VAOV) scheme; the Enhancing Past Concessions scheme; the Honoring Past Concessions scheme; the Equal Area solution;

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  1. David E. Bloom & Christopher L. Cavanagh, 1986. "An Analysis of the Selection of Arbitrators," NBER Working Papers 1938, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  2. Orley Ashenfelter & David E. Bloom, 1983. "Models of Arbitrator Behavior: Theory and Evidence," NBER Working Papers 1149, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  3. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April. [Downloadable!] (restricted)
  4. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April. [Downloadable!] (restricted)
  5. Anbarci, Nejat, 1993. "Noncooperative Foundations of the Area Monotonic Solutions," The Quarterly Journal of Economics, MIT Press, vol. 108(1), pages 245-58, February. [Downloadable!] (restricted)
  6. Anbarci, Nejat & Bigelow, John P., 1994. "The area monotonic solution to the cooperative bargaining problem," Mathematical Social Sciences, Elsevier, vol. 28(2), pages 133-142, October. [Downloadable!] (restricted)
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