IDEAS home Printed from https://ideas.repec.org/a/kap/theord/v61y2006i1p21-50.html
   My bibliography  Save this article

Finite Alternating-Move Arbitration Schemes and the Equal Area Solution

Author

Listed:
  • Nejat Anbarci

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

Suggested Citation

  • Nejat Anbarci, 2006. "Finite Alternating-Move Arbitration Schemes and the Equal Area Solution," Theory and Decision, Springer, vol. 61(1), pages 21-50, August.
    • Handle: RePEc:kap:theord:v:61:y:2006:i:1:p:21-50
    DOI: 10.1007/s11238-005-4748-9
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11238-005-4748-9
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11238-005-4748-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Bloom, David E & Cavanagh, Christopher L, 1986. "An Analysis of the Selection of Arbitrators," American Economic Review, American Economic Association, vol. 76(3), pages 408-422, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Fabio Galeotti & Maria Montero & Anders Poulsen, 2022. "The Attraction and Compromise Effects in Bargaining: Experimental Evidence," Management Science, INFORMS, vol. 68(4), pages 2987-3007, April.
    2. Matías Núñez & M. Remzi Sanver, 2021. "On the subgame perfect implementability of voting rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(2), pages 421-441, February.
    3. Laslier, Jean-François & Núñez, Matías & Remzi Sanver, M., 2021. "A solution to the two-person implementation problem," Journal of Economic Theory, Elsevier, vol. 194(C).
    4. Núñez, Matías & Laslier, Jean-François, 2015. "Bargaining through Approval," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 63-73.
    5. 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.
    6. Roberto Serrano, 2021. "Sixty-seven years of the Nash program: time for retirement?," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 12(1), pages 35-48, March.
    7. Zak, F., 2014. "Psychological Games in the Theory of Choice. II. Shame, Regret, Egoism and Altruism," Journal of the New Economic Association, New Economic Association, vol. 22(2), pages 12-40.
    8. Matias Nunez & M. Remzi Sanver, 2021. "On the subgame perfect implementability of voting rules," Post-Print hal-03341697, HAL.
    9. Damien Bol & Jean-François Laslier & Matías Núñez, 2022. "Two Person Bargaining Mechanisms: A Laboratory Experiment," Group Decision and Negotiation, Springer, vol. 31(6), pages 1145-1177, December.
    10. Salvador Barberà & Danilo Coelho, 2022. "Compromising on compromise rules," RAND Journal of Economics, RAND Corporation, vol. 53(1), pages 95-112, March.
    11. Meir, Reshef & Kalai, Gil & Tennenholtz, Moshe, 2018. "Bidding games and efficient allocations," Games and Economic Behavior, Elsevier, vol. 112(C), pages 166-193.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yakov Babichenko & Leonard J. Schulman, 2015. "Pareto Efficient Nash Implementation Via Approval Voting," Papers 1502.05238, arXiv.org, revised Mar 2017.
    2. Mustafa Oguz Afacan & Nejat Anbarci & Ozgur Kıbrıs, 2022. "Arbiter Assignment," Department of Economics Working Papers 2022_02, Durham University, Department of Economics.
    3. 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.
    4. Anna Bogomolnaia & Ron Holzman & Hervé Moulin, 2021. "Worst Case in Voting and Bargaining," Post-Print halshs-03196999, HAL.
    5. Salvador Barberà & Danilo Coelho, 2022. "Compromising on compromise rules," RAND Journal of Economics, RAND Corporation, vol. 53(1), pages 95-112, March.
    6. 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.
    7. 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.
    8. Bogomolnaia, Anna & Holzman, Ron & Moulin, Hervé, 2023. "On guarantees, vetoes and random dictators," Theoretical Economics, Econometric Society, vol. 18(1), January.
    9. Anna bogomolnaia Ron Holzman Herve Moulin, 2021. "Wost Case in Voting and Bargaining," Papers 2104.02316, arXiv.org.
    10. Nejat Anbarci, 1998. "Simple Characterizations of the Nash and Kalai/smorodinsky Solutions," Theory and Decision, Springer, vol. 45(3), pages 255-261, December.
    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. 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.
    13. Rachmilevitch, Shiran, "undated". "Gradual Negotiations and Proportional Solutions," Working Papers WP2011/8, University of Haifa, Department of Economics.
    14. Benson Bruce L., 2000. "Jurisdictional Choice in International Trade: Implications for Lex Cybernatoria," Journal des Economistes et des Etudes Humaines, De Gruyter, vol. 10(1), pages 3-32, March.
    15. Thomas Mayer, 2012. "Ziliak and McCloskey's Criticisms of Significance Tests: An Assessment," Econ Journal Watch, Econ Journal Watch, vol. 9(3), pages 256-297, September.
    16. Jaume García Segarra & Miguel Ginés Vilar, 2011. "Weighted Proportional Losses Solution," ThE Papers 10/21, Department of Economic Theory and Economic History of the University of Granada..
    17. Ismail Saglam, 2013. "Endogenously proportional bargaining solutions," Economics Bulletin, AccessEcon, vol. 33(2), pages 1521-1534.
    18. 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.
    19. Bruce L. Benson, 1999. "Polycentric Law Versus Monopolized Law : Implications from International Trade for the Potential Success of Emerging Markets," Journal of Private Enterprise, The Association of Private Enterprise Education, vol. 15(Fall 1999), pages 36-66.
    20. Malin Arve & Claudine Desrieux, 2023. "Committee Preferences and Information Acquisition," Journal of Industry, Competition and Trade, Springer, vol. 23(3), pages 243-260, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:theord:v:61:y:2006:i:1:p:21-50. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.