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Noncooperative Foundations of the Area Monotonic Solution

Author

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  • Nejat Anbarci

Abstract

Given a finite set of alternatives, players alternate making offers. Player 1 offers some alternative that 2 can accept or veto. If 2 accepts, it is enforced, and the game ends. Otherwise, 2 makes a counteroffer among the remaining alternatives, and so on. If all alternatives are vetoed, a disagreement alternative is enforced. First, we characterize the unique outcome of any subgame perfect equilibrium of this game. Then, we show that this outcome converges to the Area Monotonie Solution if the alternatives are uniformly distributed over the bargaining set, and as the number of alternatives tends to infinity.

Suggested Citation

  • Nejat Anbarci, 1993. "Noncooperative Foundations of the Area Monotonic Solution," The Quarterly Journal of Economics, Oxford University Press, vol. 108(1), pages 245-258.
  • Handle: RePEc:oup:qjecon:v:108:y:1993:i:1:p:245-258.
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    File URL: http://hdl.handle.net/10.2307/2118502
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    Cited by:

    1. Younghwan In, 2002. "On the Relevance of Alternatives in Bargaining: Average Alternative Solutions," Departmental Working Papers wp0214, National University of Singapore, Department of Economics.
    2. de Clippel, Geoffroy & Eliaz, Kfir, 2012. "Reason-based choice: a bargaining rationale for the attraction and compromise effects," Theoretical Economics, Econometric Society, vol. 7(1), January.
    3. Jozsef Sakovics, 2004. "A meaningful two-person bargaining solution based on ordinal preferences," Economics Bulletin, AccessEcon, vol. 3(26), pages 1-6.
    4. Nejat Anbarci, 1998. "Simple Characterizations of the Nash and Kalai/smorodinsky Solutions," Theory and Decision, Springer, vol. 45(3), pages 255-261, December.
    5. Nejat Anbarci, 1997. "Noncooperative foundations for the kalai-smorodinsky and equal sacrifice solutions via prominence structures," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 25(4), pages 403-411, December.
    6. Yakov Babichenko & Leonard J. Schulman, 2015. "Pareto Efficient Nash Implementation Via Approval Voting," Papers 1502.05238, arXiv.org, revised Mar 2017.
    7. Arieli, Itai & Babichenko, Yakov, 2016. "Random extensive form games," Journal of Economic Theory, Elsevier, vol. 166(C), pages 517-535.
    8. Nejat Anbarci & Ching-jen Sun, 2011. "Distributive justice and the Nash bargaining solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(3), pages 453-470, September.
    9. Anbarci, Nejat & Boyd III, John H., 2011. "Nash demand game and the Kalai-Smorodinsky solution," Games and Economic Behavior, Elsevier, vol. 71(1), pages 14-22, January.
    10. Nejat Anbarci, 2006. "Finite Alternating-Move Arbitration Schemes and the Equal Area Solution," Theory and Decision, Springer, vol. 61(1), pages 21-50, August.
    11. Younghwan In, 2008. "On the relevance of alternatives in bargaining: generalized average pay-off solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 37(2), pages 251-264, June.
    12. Salador Barera & Kareen Rozen, 2018. "Good Enough," Working Papers 2018-12, Brown University, Department of Economics.
    13. Rachmilevitch, Shiran, "undated". "Gradual Negotiations and Proportional Solutions," Working Papers WP2011/8, University of Haifa, Department of Economics.
    14. repec:ebl:ecbull:v:3:y:2004:i:26:p:1-6 is not listed on IDEAS
    15. Forgo, F. & Szidarovszky, F., 2003. "On the relation between the Nash bargaining solution and the weighting method," European Journal of Operational Research, Elsevier, vol. 147(1), pages 108-116, May.
    16. John Conley & Simon Wilkie, 2012. "The ordinal egalitarian bargaining solution for finite choice sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(1), pages 23-42, January.

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