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Noncooperative Foundations of the Area Monotonic Solution

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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, President and Fellows of Harvard College, vol. 108(1), pages 245-258.
    • Handle: RePEc:oup:qjecon:v:108:y:1993:i:1:p:245-258.
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    Citations

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    Cited by:

    1. Salvador Barberà & Danilo Coelho, 2024. "Mechanisms to Appoint Arbitrator Panels or Sets of Judges by Compromise Between Concerned Parties," Working Papers 1442, Barcelona School of Economics.
    2. Anna bogomolnaia Ron Holzman Herve Moulin, 2021. "Wost Case in Voting and Bargaining," Papers 2104.02316, arXiv.org.
    3. , & ,, 2012. "Reason-based choice: a bargaining rationale for the attraction and compromise effects," Theoretical Economics, Econometric Society, vol. 7(1), January.
    4. Jozsef Sakovics, 2004. "A meaningful two-person bargaining solution based on ordinal preferences," Economics Bulletin, AccessEcon, vol. 3(26), pages 1-6.
    5. Nejat Anbarci, 1998. "Simple Characterizations of the Nash and Kalai/smorodinsky Solutions," Theory and Decision, Springer, vol. 45(3), pages 255-261, December.
    6. 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.
    7. Yakov Babichenko & Leonard J. Schulman, 2015. "Pareto Efficient Nash Implementation Via Approval Voting," Papers 1502.05238, arXiv.org, revised Mar 2017.
    8. Arieli, Itai & Babichenko, Yakov, 2016. "Random extensive form games," Journal of Economic Theory, Elsevier, vol. 166(C), pages 517-535.
    9. Mustafa Oguz Afacan & Nejat Anbarci & Ozgur Kıbrıs, 2022. "Arbiter Assignment," Department of Economics Working Papers 2022_02, Durham University, Department of Economics.
    10. 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.
    11. Anna Bogomolnaia & Ron Holzman & Hervé Moulin, 2021. "Worst Case in Voting and Bargaining," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-03196999, HAL.
    12. Bogomolnaia, Anna & Holzman, Ron & Moulin, Hervé, 2023. "On guarantees, vetoes and random dictators," Theoretical Economics, Econometric Society, vol. 18(1), January.
    13. William Thomson, 2022. "On the axiomatic theory of bargaining: a survey of recent results," Review of Economic Design, Springer;Society for Economic Design, vol. 26(4), pages 491-542, December.
    14. 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.
    15. Salvador Barberà & Geoffroy De Clippel & Alejandro Neme & Kareen Rozen, 2019. "Order-k Rationality," Working Papers 1130, Barcelona School of Economics.
      • Salvador Barberà & Geoffroy De Cleppel & Alejandro Neme & Kareen Rozeen, 2020. "Order-k Rationality," Working Papers 4, Red Nacional de Investigadores en Economía (RedNIE).
      • Salvador Barber‡ & Geoffroy de Clippel & Alejandro Neme & Kareen Rozen, 2020. "Order-k Rationality," Working Papers 2020-10, Brown University, Department of Economics.
    16. Nejat Anbarci, 2006. "Finite Alternating-Move Arbitration Schemes and the Equal Area Solution," Theory and Decision, Springer, vol. 61(1), pages 21-50, August.
    17. Salvador Barberà & Danilo Coelho, 2022. "Compromising on compromise rules," RAND Journal of Economics, RAND Corporation, vol. 53(1), pages 95-112, March.
    18. Salvador Barberà & Geoffroy de Clippel & Alejandro Neme & Kareen Rozen, 2022. "Order-k rationality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(4), pages 1135-1153, June.
    19. 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.
    20. Salador Barera & Kareen Rozen, 2018. "Good Enough," Working Papers 2018-12, Brown University, Department of Economics.
    21. Rachmilevitch, Shiran, "undated". "Gradual Negotiations and Proportional Solutions," Working Papers WP2011/8, University of Haifa, Department of Economics.
    22. repec:ebl:ecbull:v:3:y:2004:i:26:p:1-6 is not listed on IDEAS
    23. 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.
    24. 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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