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An Asymmetric Kalai-Smorodinsky Solution

Author

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  • Dubra, J.M.

Abstract

In 1972, Harsanyi and Selten characterized a one parameter asymmetric Nash solution. In this note I do the analog for the Kalai-Smorodinsky solution. By dropping symmetry and adding a restrivted version of Independence of Irrelevant Alternatives to the set of axioms that lead to the Kalai-Smorodinsky solution, I characterize an asymmetric version of that solution concept that depends only on one parameter.

Suggested Citation

  • Dubra, J.M., 1998. "An Asymmetric Kalai-Smorodinsky Solution," Working Papers 98-09, C.V. Starr Center for Applied Economics, New York University.
  • Handle: RePEc:cvs:starer:98-09
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    References listed on IDEAS

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    1. Peters, H.J.M. & Tijs, S.H., 1985. "Characterization of all individually monotonic bargaining solutions," Other publications TiSEM 52f5a6d5-dcac-4fec-9b8e-9, Tilburg University, School of Economics and Management.
    2. Imai, Haruo, 1983. "Individual Monotonicity and Lexicographic Maxmin Solution," Econometrica, Econometric Society, vol. 51(2), pages 389-401, March.
    3. Thomson, William, 1994. "Cooperative models of bargaining," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 35, pages 1237-1284 Elsevier.
    4. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    5. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    6. John C. Harsanyi & Reinhard Selten, 1972. "A Generalized Nash Solution for Two-Person Bargaining Games with Incomplete Information," Management Science, INFORMS, vol. 18(5-Part-2), pages 80-106, January.
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    Citations

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    Cited by:

    1. Jaume García-Segarra & Miguel Ginés-Vilar, 2013. "Stagnation proofness and individually monotonic bargaining solutions," Working Papers 2013/04, Economics Department, Universitat Jaume I, Castellón (Spain).
    2. Marcus Dittrich, 2010. "Minimum Wages and Unemployment Benefits in a Unionized Economy: A Game-Theoretic Approach," Annals of Economics and Finance, Society for AEF, vol. 11(2), pages 209-229, November.
    3. repec:spr:waterr:v:31:y:2017:i:9:d:10.1007_s11269-017-1648-z is not listed on IDEAS
    4. Bram Driesen, 2016. "Bargaining, conditional consistency, and weighted lexicographic Kalai-Smorodinsky Solutions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(4), pages 777-809, April.
    5. Dittrich, Marcus & Städter, Silvio, 2015. "Moral hazard and bargaining over incentive contracts," Research in Economics, Elsevier, vol. 69(1), pages 75-85.
    6. Nicola Maaser & Alexander Mayer, 2016. "Codecision in context: implications for the balance of power in the EU," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(1), pages 213-237, January.
    7. Xu, Zeyu, 2007. "A survey on intra-household models and evidence," MPRA Paper 3763, University Library of Munich, Germany.
    8. Mukhopadhyay, Lekha, 2004. "Inequality, differential technology for resource extraction and voluntary collective action in commons," Ecological Economics, Elsevier, vol. 49(2), pages 215-230, June.
    9. 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..
    10. Dittrich, Marcus, 2007. "Minimum Wages and Union Bargaining in a Dual Labour Market," Dresden Discussion Paper Series in Economics 13/07, Technische Universität Dresden, Faculty of Business and Economics, Department of Economics.
    11. Claus-Jochen Haake & Cheng-Zhong Qin, 2018. "On unification of solutions to the bargaining problem," Working Papers CIE 113, Paderborn University, CIE Center for International Economics.
    12. Nicola Maaser & Alexander Mayer, 2016. "Codecision in context: implications for the balance of power in the EU," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(1), pages 213-237, January.

    More about this item

    Keywords

    BARGAINING;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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