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Invariance and Randomness in the Nash Program for Coalitional Games

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Author Info
Nir Dagan
Roberto Serrano

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Abstract

By introducing physical outcomes in coalitional games we note that coalitional games and social choice problems are equivalent (implying that so are the theory of implementation and the Nash program). This clarifies some misunderstandings (in regrad to invariance and randomness), sometimes found in the Nash program.

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File URL: http://www.nirdagan.com/research/199801/full.pdf
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Publisher Info
Paper provided by Nir Dagan in its series Economic theory and game theory with number 006.

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Length: 7 pages
Date of creation: 1998
Date of revision:
Publication status: Published in Economics Letters 58:43-49 (1998)
Handle: RePEc:nid:ndagan:006

Contact details of provider:
Postal: Nir Dagan, Dept. of Economics and Management, Tel-Hai Academic College, Upper Galilee, Israel.
Web page: http://www.nirdagan.com/research/

For technical questions regarding this item, or to correct its listing, contact: (Nir Dagan).

Related research
Keywords: Nash program; implementation; scale invariance; ordinal invariance; randomness;

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Find related papers by JEL classification:
C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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  1. Roberto Serrano, 2004. "Fifty Years of the Nash Program, 1953-2003," Working Papers 2004-20, Brown University, Department of Economics. [Downloadable!]
    Other versions:
  2. David Pérez-Castrillo & David Wettstein, . "Bidding For The Surplus: A Non-Cooperative Approach To The Shapley Value," UFAE and IAE Working Papers 461.00, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC). [Downloadable!]
    Other versions:
  3. Luis C. Corchon & Matteo Triosi, 2005. "Implementation With State Dependent Feasible Sets And Preferences: A Renegotiation Approach," Economics Working Papers we057136, Universidad Carlos III, Departamento de Economía. [Downloadable!]
    Other versions:
  4. Claus-Jochen Haake, 2005. "Two support results for the Kalai-Smorodinsky solution in small object division markets," Working Papers 366, Bielefeld University, Institute of Mathematical Economics. [Downloadable!]
  5. Walter Trockel, 1999. "On the Nash Program for the Nash Bargaining Solution," UCLA Economics Working Papers 788, UCLA Department of Economics. [Downloadable!]
    Other versions:
  6. Trockel,W., 1999. "Integrating the Nash program into mechanism theory," Working Papers 305, Bielefeld University, Institute of Mathematical Economics. [Downloadable!]
    Other versions:
  7. Trockel,W., 2001. "Can and should the Nash program be looked at as a part of mechanism theory?," Working Papers 322, Bielefeld University, Institute of Mathematical Economics. [Downloadable!]
  8. Claus-Jochen Haake & Walter Trockel, 2007. "On Maskin monotonicity of solution based social choice rules," Working Papers 393, Bielefeld University, Institute of Mathematical Economics. [Downloadable!]
  9. Trockel,W., 1999. "Unique Nash implementation for a class of bargaining solutions," Working Papers 308, Bielefeld University, Institute of Mathematical Economics. [Downloadable!]
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