IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this article or follow this journal

Fifty years of the Nash program, 1953-2003

  • Roberto Serrano

    (Brown University)

This paper is a survey of the work in the Nash program for coalitional games, a research agenda proposed by Nash (1953) to bridge the gap between the non-cooperative and cooperative approaches to game theory. (Copyright: Fundación SEPI)

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: ftp://ftp.fundacionsepi.es/InvEcon/paperArchive/May2005/v29i2a1.pdf
File Function: Full text
Download Restriction: no

Article provided by Fundación SEPI in its journal Investigaciones Económicas.

Volume (Year): 29 (2005)
Issue (Month): 2 (May)
Pages: 219-258

as
in new window

Handle: RePEc:iec:inveco:v:29:y:2005:i:2:p:219-258
Contact details of provider: Postal: Investigaciones Economicas Fundación SEPI Quintana, 2 (planta 3) 28008 Madrid Spain
Web page: http://www.fundacionsepi.es/Email:

Order Information: Web: http://www.fundacionsepi.es/revistas/presentacion.asp Email:


References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Evans, Robert, 1997. "Coalitional Bargaining with Competition to Make Offers," Games and Economic Behavior, Elsevier, vol. 19(2), pages 211-220, May.
  2. Trockel,W., 1999. "Unique Nash implementation for a class of bargaining solutions," Working Papers 308, Bielefeld University, Center for Mathematical Economics.
  3. Dagan, Nir & Serrano, Roberto, 1998. "Invariance and randomness in the Nash program for coalitional games," Economics Letters, Elsevier, vol. 58(1), pages 43-49, January.
  4. repec:ner:tilbur:urn:nbn:nl:ui:12-129218 is not listed on IDEAS
  5. Sergiu Hart & Zohar Levy, 1999. "Efficiency Does Not Imply Immediate Agreement," Econometrica, Econometric Society, vol. 67(4), pages 909-912, July.
  6. 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).
  7. Tayfun Sonmez, 1999. "Strategy-Proofness and Essentially Single-Valued Cores," Econometrica, Econometric Society, vol. 67(3), pages 677-690, May.
  8. Juan J. Vidal-Puga, 2004. "Bargaining with commitments," International Journal of Game Theory, Springer, vol. 33(1), pages 129-144, January.
  9. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-80, March.
  10. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics.
  11. Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer, vol. 15(3), pages 187-200.
  12. José Alcalde Pérez & Antonio Romero-Medina & David Pérez-Castrillo, 1997. "Hiring procedures to implement stable allocations," Working Papers. Serie AD 1997-10, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  13. Trockel,W., 1999. "A universal meta bargaining realization of the Nash solution," Working Papers 310, Bielefeld University, Center for Mathematical Economics.
  14. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288 Elsevier.
  15. Selten,Reinhard & Wooders,Myrna, . "A game equilibrium model of thin markets," Discussion Paper Serie B 144, University of Bonn, Germany.
  16. Mas-Colell, Andreu, 1989. "An equivalence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 129-139, April.
  17. Walter Trockel, 2002. "Integrating the Nash program into mechanism theory," Review of Economic Design, Springer, vol. 7(1), pages 27-43.
  18. Ezra Einy & David Wettstein, 1999. "A non-cooperative interpretation of bargaining sets," Review of Economic Design, Springer, vol. 4(3), pages 219-230.
  19. Roberto Serrano & Rajiv Vohra, 2002. "Implementing the Mas-Colell bargaining set," Investigaciones Economicas, Fundación SEPI, vol. 26(2), pages 285-298, May.
  20. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 661465000000000387, David K. Levine.
  21. Dutta, Bhaskar & Ray, Debraj & Sengupta, Kunal & Vohra, Rajiv, 1989. "A consistent bargaining set," Journal of Economic Theory, Elsevier, vol. 49(1), pages 93-112, October.
  22. Serrano, Roberto, 1997. "Reinterpreting the Kernel," Journal of Economic Theory, Elsevier, vol. 77(1), pages 58-80, November.
  23. John C. Harsanyi, 1974. "An Equilibrium-Point Interpretation of Stable Sets and a Proposed Alternative Definition," Management Science, INFORMS, vol. 20(11), pages 1472-1495, July.
  24. Krishna, V. & serrano, R., 1993. "Perfect Equilibria of a Model of N-Person Noncooperative Bargaining," Papers 10-93-31, Pennsylvania State - Department of Economics.
  25. Massimo Morelli & Maria Montero, 2001. "The Demand Bargaining Set: General Characterization and Application to Majority Games," Economics Working Papers 0011, Institute for Advanced Study, School of Social Science.
  26. Moldovanu Benny & Winter Eyal, 1995. "Order Independent Equilibria," Games and Economic Behavior, Elsevier, vol. 9(1), pages 21-34, April.
  27. Perez-Castrillo, David & Wettstein, David, 2000. "Implementation of Bargaining Sets via Simple Mechanisms," Games and Economic Behavior, Elsevier, vol. 31(1), pages 106-120, April.
  28. Naeve, Jorg, 1999. "Nash implementation of the Nash bargaining solution using intuitive message spaces," Economics Letters, Elsevier, vol. 62(1), pages 23-28, January.
  29. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer, vol. 18(4), pages 655-708.
  30. Miyagawa, Eiichi, 2002. "Subgame-perfect implementation of bargaining solutions," Games and Economic Behavior, Elsevier, vol. 41(2), pages 292-308, November.
  31. Maschler, M & Owen, G, 1989. "The Consistent Shapley Value for Hyperplane Games," International Journal of Game Theory, Springer, vol. 18(4), pages 389-407.
  32. Lensberg, Terje, 1988. "Stability and the Nash solution," Journal of Economic Theory, Elsevier, vol. 45(2), pages 330-341, August.
  33. Serrano, Roberto, 1993. "Non-cooperative Implementation of the Nucleolus: The 3-Player Case," International Journal of Game Theory, Springer, vol. 22(4), pages 345-57.
  34. Krishna, Vijay & Serrano, Roberto, 1996. "Multilateral Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 63(1), pages 61-80, January.
  35. Chatterjee, Kalyan & Bhaskar Dutta & Debraj Ray & Kunal Sengupta, 1993. "A Noncooperative Theory of Coalitional Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 60(2), pages 463-77, April.
  36. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
  37. Leonid Hurwicz, 1994. "Economic design, adjustment processes, mechanisms, and institutions," Review of Economic Design, Springer, vol. 1(1), pages 1-14, December.
  38. Ehud Kalai, 1978. "A Group Incentive Compatible Mechanism Yielding Core Allocation," Discussion Papers 329, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  39. Perry, M. & Rany, P., 1992. "A Non-Cooperative View of Coalition Formation and the Core," UWO Department of Economics Working Papers 9203, University of Western Ontario, Department of Economics.
  40. Winter, Eyal, 1994. "The Demand Commitment Bargaining and Snowballing Cooperation," Economic Theory, Springer, vol. 4(2), pages 255-73, March.
  41. Lagunoff Roger D., 1994. "A Simple Noncooperative Core Story," Games and Economic Behavior, Elsevier, vol. 7(1), pages 54-61, July.
  42. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January.
  43. repec:dgr:kubcen:199961 is not listed on IDEAS
  44. Faruk Gul, 1999. "Efficiency and Immediate Agreement: A Reply to Hart and Levy," Econometrica, Econometric Society, vol. 67(4), pages 913-918, July.
  45. Peraz-Castrillo, J., 1992. "Cooperative Outcomes Through Non-Cooperative Games," UFAE and IAE Working Papers 165.92, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  46. Serrano Roberto, 1995. "A Market to Implement the Core," Journal of Economic Theory, Elsevier, vol. 67(1), pages 285-294, October.
  47. Winter Eyal, 1994. "Non-cooperative Bargaining in Natural Monopolies," Journal of Economic Theory, Elsevier, vol. 64(1), pages 202-220, October.
  48. Trockel,W., 2001. "Can and should the Nash program be looked at as a part of mechanism theory?," Working Papers 322, Bielefeld University, Center for Mathematical Economics.
  49. 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.
  50. de Clippel, Geoffroy, 2007. "The procedural value for cooperative games with non-transferable utility," Mathematical Social Sciences, Elsevier, vol. 53(1), pages 46-52, January.
  51. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
  52. Roberto Serrano, 2003. "The Theory of Implementation of Social Choice Rules," Working Papers 2003-19, Brown University, Department of Economics.
  53. Guth, Werner & Ritzberger, Klaus & van Damme, Eric, 2004. "On the Nash bargaining solution with noise," European Economic Review, Elsevier, vol. 48(3), pages 697-713, June.
  54. Rosenmueller,J. & Trockel,W., 2001. "Game theory," Working Papers 321, Bielefeld University, Center for Mathematical Economics.
  55. Walter Trockel, 2000. "Implementations of the Nash solution based on its Walrasian characterization," Economic Theory, Springer, vol. 16(2), pages 277-294.
  56. Wilson, Robert B, 1978. "Competitive Exchange," Econometrica, Econometric Society, vol. 46(3), pages 577-85, May.
  57. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
  58. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  59. Serrano, Roberto & Vohra, Rajiv, 2002. "Bargaining and Bargaining Sets," Games and Economic Behavior, Elsevier, vol. 39(2), pages 292-308, May.
  60. Herrero, Maria Jose, 1989. "The nash program: Non-convex bargaining problems," Journal of Economic Theory, Elsevier, vol. 49(2), pages 266-277, December.
  61. Serrano, Roberto, 1997. "A comment on the Nash program and the theory of implementation," Economics Letters, Elsevier, vol. 55(2), pages 203-208, August.
  62. Moulin, H., 1984. "Implementing the Kalai-Smorodinsky bargaining solution," Journal of Economic Theory, Elsevier, vol. 33(1), pages 32-45, June.
  63. Roberto Serrano & Rajiv Vohra, 1997. "Non-cooperative implementation of the core," Social Choice and Welfare, Springer, vol. 14(4), pages 513-525.
  64. Montero, M.P., 1999. "Coalition Formation in Games with Externalities," Discussion Paper 1999-121, Tilburg University, Center for Economic Research.
  65. Thomson, A., 1989. "The Consistency Principle," RCER Working Papers 192, University of Rochester - Center for Economic Research (RCER).
  66. Bergin, James & Duggan, John, 1999. "An Implementation-Theoretic Approach to Non-cooperative Foundations," Journal of Economic Theory, Elsevier, vol. 86(1), pages 50-76, May.
  67. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
  68. Banks, Jeffrey S. & Duggan, John, 1999. "A Bargaining Model of Collective Choice," Working Papers 1053, California Institute of Technology, Division of the Humanities and Social Sciences.
  69. repec:dgr:kubcen:1999121 is not listed on IDEAS
  70. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-18, May.
  71. Serrano, Roberto, 1995. "Strategic bargaining, surplus sharing problems and the nucleolus," Journal of Mathematical Economics, Elsevier, vol. 24(4), pages 319-329.
  72. Palfrey, Thomas R., 2002. "Implementation theory," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 61, pages 2271-2326 Elsevier.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:iec:inveco:v:29:y:2005:i:2:p:219-258. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Isabel Sánchez-Seco)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.