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Reference Functions and Balanced Concessions in Bargaining

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  • Nejat Anbarci

Abstract

In bargaining, agents expect their concessions to be reciprocated. Using the 'reference function' concept of W. Thomson (1981), this paper constructs a class of solutions the outcomes of which lead to balanced concessions by agents as prescribed by the reference function adopted. The Kalai/Smorodinsky (1975) solution arises as a special case. Another solution in this class, which depends on the entire feasible set, is generated by using the center of gravity as the reference function.

Suggested Citation

  • Nejat Anbarci, 1995. "Reference Functions and Balanced Concessions in Bargaining," Canadian Journal of Economics, Canadian Economics Association, vol. 28(3), pages 675-682, August.
    • Handle: RePEc:cje:issued:v:28:y:1995:i:3:p:675-82
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    Citations

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    Cited by:

    1. Carlos Alós-Ferrer & Jaume García-Segarra & Miguel Ginés-Vilar, 2018. "Anchoring on Utopia: a generalization of the Kalai–Smorodinsky solution," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(2), pages 141-155, October.
    2. Nejat Anbarci, 1998. "Simple Characterizations of the Nash and Kalai/smorodinsky Solutions," Theory and Decision, Springer, vol. 45(3), pages 255-261, December.
    3. Ismail Saglam, 2020. "Bargaining over collusion: the threat of supply function versus Cournot competition under demand uncertainty and cost asymmetry," The Japanese Economic Review, Springer, vol. 71(4), pages 671-693, October.
    4. Saglam, Ismail, 2018. "Bargaining over Collusion Profits under Cost Asymmetry and Demand Uncertainty," MPRA Paper 84007, University Library of Munich, Germany.
    5. Driesen, Bram, 2012. "Proportional concessions and the leximin solution," Economics Letters, Elsevier, vol. 114(3), pages 288-291.
    6. 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.
    7. 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.
    8. 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..
    9. 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.
    10. 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.

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