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An asymmetric Kalai-Smorodinsky solution

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  • Dubra, Juan

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.
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Suggested Citation

  • Dubra, Juan, 2001. "An asymmetric Kalai-Smorodinsky solution," Economics Letters, Elsevier, vol. 73(2), pages 131-136, November.
  • Handle: RePEc:eee:ecolet:v:73:y:2001:i:2:p:131-136
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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. 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.
    3. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    4. Imai, Haruo, 1983. "Individual Monotonicity and Lexicographic Maxmin Solution," Econometrica, Econometric Society, vol. 51(2), pages 389-401, March.
    5. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    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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    Cited by:

    1. 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.
    2. 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).
    3. Xu, Zeyu, 2007. "A survey on intra-household models and evidence," MPRA Paper 3763, University Library of Munich, Germany.
    4. 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.
    5. 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..
    6. 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.
    7. repec:spr:waterr:v:31:y:2017:i:9:d:10.1007_s11269-017-1648-z is not listed on IDEAS
    8. 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.
    9. 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.
    10. Dittrich, Marcus & Städter, Silvio, 2015. "Moral hazard and bargaining over incentive contracts," Research in Economics, Elsevier, vol. 69(1), pages 75-85.

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    JEL classification:

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

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