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Asymmetric Nash bargaining solutions: A simple Nash program

  • Anbarci, Nejat
  • Sun, Ching-jen

This article proposes a simple Nash program. Both our axiomatic characterization and our noncooperative procedure consider each distinct asymmetric and symmetric Nash solution. Our noncooperative procedure is a generalization of the simplest known sequential Nash demand game analyzed by Rubinstein et al. (1992). We then provide the simplest known axiomatic characterization of the class of asymmetric Nash solutions, in which we use only Nash’s crucial Independence of Irrelevant Alternatives axiom and an asymmetric modification of the well-known Midpoint Domination axiom.

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Article provided by Elsevier in its journal Economics Letters.

Volume (Year): 120 (2013)
Issue (Month): 2 ()
Pages: 211-214

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Handle: RePEc:eee:ecolet:v:120:y:2013:i:2:p:211-214
DOI: 10.1016/j.econlet.2013.04.026
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  1. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 252, David K. Levine.
  2. Aleksander Berentsen & Guido Menzio & Randall Wright, 2011. "Inflation and Unemployment in the Long Run," American Economic Review, American Economic Association, vol. 101(1), pages 371-98, February.
  3. Guillaume Rocheteau & Randall Wright, 2005. "Money in Search Equilibrium, in Competitive Equilibrium, and in Competitive Search Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 175-202, 01.
  4. Sobel, Joel, 1981. "Distortion of Utilities and the Bargaining Problem," Econometrica, Econometric Society, vol. 49(3), pages 597-619, May.
  5. Carlsson, Hans, 1991. "A Bargaining Model Where Parties Make Errors," Econometrica, Econometric Society, vol. 59(5), pages 1487-96, September.
  6. Klaus Kultti & Hannu Vartiainen, 2010. "Multilateral non-cooperative bargaining in a general utility space," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(4), pages 677-689, October.
  7. Ricardo Lagos & Randall Wright, 2004. "A unified framework for monetary theory and policy analysis," Staff Report 346, Federal Reserve Bank of Minneapolis.
  8. Mortensen, Dale T & Pissarides, Christopher, 1999. "New Developments in Models of Search in the Labour Market," CEPR Discussion Papers 2053, C.E.P.R. Discussion Papers.
  9. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  10. Trejos, Alberto & Wright, Randall, 1995. "Search, Bargaining, Money, and Prices," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 118-41, February.
  11. Howard, J. V., 1992. "A social choice rule and its implementation in perfect equilibrium," Journal of Economic Theory, Elsevier, vol. 56(1), pages 142-159, February.
  12. Peter A. Diamond, 1982. "Wage Determination and Efficiency in Search Equilibrium," Review of Economic Studies, Oxford University Press, vol. 49(2), pages 217-227.
  13. Dale T. Mortensen & Christopher A. Pissarides, 1994. "Job Creation and Job Destruction in the Theory of Unemployment," Review of Economic Studies, Oxford University Press, vol. 61(3), pages 397-415.
  14. 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.
  15. Mortensen, Dale T. & Pissarides, Christopher A., 1999. "Job reallocation, employment fluctuations and unemployment," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 18, pages 1171-1228 Elsevier.
  16. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer.
  17. Christopher A. Pissarides, 1987. "Search, Wage Bargains and Cycles," Review of Economic Studies, Oxford University Press, vol. 54(3), pages 473-483.
  18. 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.
  19. Christopher A. Pissarides, 2000. "Equilibrium Unemployment Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161877, December.
  20. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
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