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An Asymmetric Kalai-Smorodinsky Solution

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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. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    2. Imai, Haruo, 1983. "Individual Monotonicity and Lexicographic Maxmin Solution," Econometrica, Econometric Society, vol. 51(2), pages 389-401, March.
    3. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    4. Roth, Alvin E., 1977. "Independence of irrelevant alternatives, and solutions to Nash's bargaining problem," Journal of Economic Theory, Elsevier, vol. 16(2), pages 247-251, December.
    5. 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.
    6. 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.
    7. 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. 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. Claus-Jochen Haake & Thomas Streck, 2023. "Distortion through modeling asymmetric bargaining power," Working Papers CIE 155, Paderborn University, CIE Center for International Economics.
    3. 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.
    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. Giuseppe Liddo & Michele G. Giuranno, 2020. "The political economy of municipal consortia and municipal mergers," Economia Politica: Journal of Analytical and Institutional Economics, Springer;Fondazione Edison, vol. 37(1), pages 105-135, April.
    6. Claus-Jochen Haake & Thomas Streck, 2022. "Distortion through modeling asymmetric bargaining power," Working Papers CIE 148, Paderborn University, CIE Center for International Economics.
    7. Dittrich, Marcus & Städter, Silvio, 2015. "Moral hazard and bargaining over incentive contracts," Research in Economics, Elsevier, vol. 69(1), pages 75-85.
    8. Xu, Zeyu, 2007. "A survey on intra-household models and evidence," MPRA Paper 3763, University Library of Munich, Germany.
    9. Dominik Karos & Nozomu Muto & Shiran Rachmilevitch, 2018. "A generalization of the Egalitarian and the Kalai–Smorodinsky bargaining solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(4), pages 1169-1182, November.
    10. 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..
    11. 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.
    12. Driesen, Bram W., 2012. "The Asymmetric Leximin Solution," Working Papers 0523, University of Heidelberg, Department of Economics.
    13. 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).
    14. Dagmawi Mulugeta Degefu & Weijun He & Liang Yuan, 2017. "Monotonic Bargaining Solution for Allocating Critically Scarce Transboundary Water," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(9), pages 2627-2644, July.
    15. Jaume García-Segarra & Miguel Ginés-Vilar, 2019. "Stagnation proofness in n-agent bargaining problems," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 14(1), pages 215-224, March.
    16. Kristal K. Trejo & Julio B. Clempner & Alexander S. Poznyak, 2019. "Computing the Bargaining Approach for Equalizing the Ratios of Maximal Gains in Continuous-Time Markov Chains Games," Computational Economics, Springer;Society for Computational Economics, vol. 54(3), pages 933-955, October.
    17. 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.
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    19. 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.

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    More about this item

    Keywords

    BARGAINING;

    JEL classification:

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

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