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Beyond Nash Bargaining Theory: The Nash Set

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  • Serrano, Roberto
  • Shimomura, Ken-Ichi

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 83 (1998)
Issue (Month): 2 (December)
Pages: 286-307

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Handle: RePEc:eee:jetheo:v:83:y:1998:i:2:p:286-307

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Web page: http://www.elsevier.com/locate/inca/622869

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References

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  1. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
  2. Nagahisa, Ryo-ichi, 1991. "A local independence condition for characterization of Walrasian allocations rule," Journal of Economic Theory, Elsevier, vol. 54(1), pages 106-123, June.
  3. Maschler, Michael, 1992. "The bargaining set, kernel, and nucleolus," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 18, pages 591-667 Elsevier.
  4. Lensberg, Terje, 1987. "Stability and Collective Rationality," Econometrica, Econometric Society, vol. 55(4), pages 935-61, July.
  5. Krishna, Vijay & Serrano, Roberto, 1996. "Multilateral Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 63(1), pages 61-80, January.
  6. Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer, vol. 15(3), pages 187-200.
  7. Lin Zhou, 1997. "The Nash Bargaining Theory with Non-Convex Problems," Econometrica, Econometric Society, vol. 65(3), pages 681-686, May.
  8. Sergiu Hart, 1983. "An Axiomatization of Harsanyi's Non-Transferable Utility Solution," Discussion Papers 573, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  9. Peleg, Bezalel, 1985. "An axiomatization of the core of cooperative games without side payments," Journal of Mathematical Economics, Elsevier, vol. 14(2), pages 203-214, April.
  10. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-18, May.
  11. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  12. Saijo, Tatsuyoshi & Tatamitani, Yoshikatsu & Yamato, Takehiko, 1996. "Toward Natural Implementation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 949-80, November.
  13. Serrano, Roberto, 1997. "Reinterpreting the Kernel," Journal of Economic Theory, Elsevier, vol. 77(1), pages 58-80, November.
  14. Aumann, Robert J, 1985. "An Axiomatization of the Non-transferable Utility Value," Econometrica, Econometric Society, vol. 53(3), pages 599-612, May.
  15. Herrero, Maria Jose, 1989. "The nash program: Non-convex bargaining problems," Journal of Economic Theory, Elsevier, vol. 49(2), pages 266-277, December.
  16. Lensberg, Terje, 1988. "Stability and the Nash solution," Journal of Economic Theory, Elsevier, vol. 45(2), pages 330-341, August.
  17. Rubinstein, Ariel & Safra, Zvi & Thomson, William, 1992. "On the Interpretation of the Nash Bargaining Solution and Its Extension to Non-expected Utility Preferences," Econometrica, Econometric Society, vol. 60(5), pages 1171-86, September.
  18. Moldovanu, B, 1990. "Stable Bargained Equilibria for Assignment Games without Side Payments," International Journal of Game Theory, Springer, vol. 19(2), pages 171-90.
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Cited by:
  1. Roberto Burguet & Ramon Caminal, 2010. "Simultaneous Nash Bargaining with Consistent Beliefs," Working Papers 521, Barcelona Graduate School of Economics.
  2. Roberto Serrano & Ken-Ichi Shimomura, 2005. "A Comparison Of The Average Prekernel And The Prekernel," Economics Working Papers we055827, Universidad Carlos III, Departamento de Economía.
  3. Yan-An Hwang, 2006. "Two characterizations of the consistent egalitarian solution and of the core on NTU games," Computational Statistics, Springer, vol. 64(3), pages 557-568, December.
  4. Samuel Danthine & Noemí Navarro, 2010. "How to Add Apples and Pears: Non-Symmetric Nash Bargaining and the Generalized Joint Surplus," Working Papers 2010-04, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
  5. Geoffroy de Clippel, 2005. "An Axiomatization of the Inner Core Using Appropriate Reduced Games," Working Papers 2005-02, Brown University, Department of Economics.
  6. Jens Leth Hougaard & Mich Tvede, 2010. "n-Person Nonconvex Bargaining: Efficient Proportional Solution," Discussion Papers 10-21, University of Copenhagen. Department of Economics.
  7. Yan-An Hwang & Yu-Hsien Liao, 2010. "The unit-level-core for multi-choice games: the replicated core for TU games," Journal of Global Optimization, Springer, vol. 47(2), pages 161-171, June.
  8. Yan-An Hwang & Yu-Hsien Liao, 2011. "The multi-core, balancedness and axiomatizations for multi-choice games," International Journal of Game Theory, Springer, vol. 40(4), pages 677-689, November.

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