Advanced Search
MyIDEAS: Login to save this article or follow this journal

Fifty years of the Nash program, 1953-2003

Contents:

Author Info

  • Roberto Serrano

    (Brown University)

Abstract

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)

Download Info

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

Bibliographic Info

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
Email:
Web page: http://www.fundacionsepi.es/

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

Related research

Keywords: Nash program; bargaining; implementation;

Other versions of this item:

Find related papers by JEL classification:

References

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. Leonid Hurwicz, 1994. "Economic design, adjustment processes, mechanisms, and institutions," Review of Economic Design, Springer, vol. 1(1), pages 1-14, December.
  2. Roberto Serrano & Rajiv Vohra, 1997. "Non-cooperative implementation of the core," Social Choice and Welfare, Springer, vol. 14(4), pages 513-525.
  3. Serrano Roberto, 1995. "A Market to Implement the Core," Journal of Economic Theory, Elsevier, vol. 67(1), pages 285-294, October.
  4. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 661465000000000387, David K. Levine.
  5. Juan Vidal-Puga, 2003. "Bargaining with commitments," Game Theory and Information 0306002, EconWPA.
  6. Thomson, A., 1989. "The Consistency Principle," RCER Working Papers 192, University of Rochester - Center for Economic Research (RCER).
  7. Sergiu Hart & Andreu Mas-Colell, 1994. "Bargaining and value," Economics Working Papers 114, Department of Economics and Business, Universitat Pompeu Fabra, revised Feb 1995.
  8. Faruk Gul, 1999. "Efficiency and Immediate Agreement: A Reply to Hart and Levy," Econometrica, Econometric Society, vol. 67(4), pages 913-918, July.
  9. Tayfun Sonmez, 1999. "Strategy-Proofness and Essentially Single-Valued Cores," Econometrica, Econometric Society, vol. 67(3), pages 677-690, May.
  10. Maskin, Eric & Sjostrom, Tomas, 2001. "Implementation Theory," Working Papers 5-01-1, Pennsylvania State University, Department of Economics.
  11. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January.
  12. Trockel,W., 1999. "Unique Nash implementation for a class of bargaining solutions," Working Papers 308, Bielefeld University, Center for Mathematical Economics.
  13. 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.
  14. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer, vol. 18(4), pages 655-708.
  15. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
  16. Rosenmueller,J. & Trockel,W., 2001. "Game theory," Working Papers 321, Bielefeld University, Center for Mathematical Economics.
  17. Montero, Maria, 2002. "Non-cooperative bargaining in apex games and the kernel," Games and Economic Behavior, Elsevier, vol. 41(2), pages 309-321, November.
  18. Roberto Serrano & Rajiv Vohra, 2002. "Implementing the Mas-Colell bargaining set," Investigaciones Economicas, Fundación SEPI, vol. 26(2), pages 285-298, May.
  19. 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).
  20. Lensberg, Terje, 1988. "Stability and the Nash solution," Journal of Economic Theory, Elsevier, vol. 45(2), pages 330-341, August.
  21. Kalai, Ehud & Postlewaite, Andrew & Roberts, John, 1979. "A group incentive compatible mechanism yielding core allocations," Journal of Economic Theory, Elsevier, vol. 20(1), pages 13-22, February.
  22. Perry, Motty & Reny, Philip J, 1994. "A Noncooperative View of Coalition Formation and the Core," Econometrica, Econometric Society, vol. 62(4), pages 795-817, July.
  23. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
  24. Evans, Robert, 1997. "Coalitional Bargaining with Competition to Make Offers," Games and Economic Behavior, Elsevier, vol. 19(2), pages 211-220, May.
  25. 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.
  26. Roberto Serrano, 1996. "A comment on the Nash program and the theory of implementation," Economics Working Papers 161, Department of Economics and Business, Universitat Pompeu Fabra.
  27. 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.
  28. Walter Trockel, 1999. "Integrating the Nash Program into Mechanism Theory," UCLA Economics Working Papers 787, UCLA Department of Economics.
  29. 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.
  30. Serrano, Roberto, 1995. "Strategic bargaining, surplus sharing problems and the nucleolus," Journal of Mathematical Economics, Elsevier, vol. 24(4), pages 319-329.
  31. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
  32. Sergiu Hart & Zohar Levy, 1997. "Efficiency Does Not Imply Immediate Agreement," Game Theory and Information 9709001, EconWPA.
  33. 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.
  34. Krishna, Vijay & Serrano, Roberto, 1996. "Multilateral Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 63(1), pages 61-80, January.
  35. Morelli, Massimo & Montero, Maria, 2003. "The demand bargaining set: general characterization and application to majority games," Games and Economic Behavior, Elsevier, vol. 42(1), pages 137-155, January.
  36. Roberto Serrano & Rajiv Vohra, 1999. "Bargaining and Bargaining Sets," Working Papers 99-18, Brown University, Department of Economics.
  37. 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.
  38. 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.
  39. 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.
  40. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  41. Roberto Serrano, 2003. "The Theory of Implementation of Social Choice Rules," Economics Working Papers 0033, Institute for Advanced Study, School of Social Science.
  42. Krishna, V. & Serrano, R., 1993. "Perfect Equilibria of a Model of N-Person Noncooperative Bargaining," Harvard Institute of Economic Research Working Papers 10, Harvard - Institute of Economic Research.
  43. 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).
  44. Mas-Colell, Andreu, 1989. "An equivalence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 129-139, April.
  45. 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.
  46. 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.
  47. Walter Trockel, 2000. "Implementations of the Nash solution based on its Walrasian characterization," Economic Theory, Springer, vol. 16(2), pages 277-294.
  48. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-18, May.
  49. 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).
  50. Lagunoff Roger D., 1994. "A Simple Noncooperative Core Story," Games and Economic Behavior, Elsevier, vol. 7(1), pages 54-61, July.
  51. 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.
  52. 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.
  53. Maschler, M & Owen, G, 1989. "The Consistent Shapley Value for Hyperplane Games," International Journal of Game Theory, Springer, vol. 18(4), pages 389-407.
  54. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics.
  55. Naeve, Jorg, 1999. "Nash implementation of the Nash bargaining solution using intuitive message spaces," Economics Letters, Elsevier, vol. 62(1), pages 23-28, January.
  56. Winter, Eyal, 1994. "The Demand Commitment Bargaining and Snowballing Cooperation," Economic Theory, Springer, vol. 4(2), pages 255-73, March.
  57. 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.
  58. 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.
  59. Moulin, H., 1984. "Implementing the Kalai-Smorodinsky bargaining solution," Journal of Economic Theory, Elsevier, vol. 33(1), pages 32-45, June.
  60. Serrano, Roberto, 1997. "Reinterpreting the Kernel," Journal of Economic Theory, Elsevier, vol. 77(1), pages 58-80, November.
  61. Miyagawa, Eiichi, 2002. "Subgame-perfect implementation of bargaining solutions," Games and Economic Behavior, Elsevier, vol. 41(2), pages 292-308, November.
  62. Wilson, Robert B, 1978. "Competitive Exchange," Econometrica, Econometric Society, vol. 46(3), pages 577-85, May.
  63. Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer, vol. 15(3), pages 187-200.
  64. Selten,Reinhard & Wooders,Myrna, . "A game equilibrium model of thin markets," Discussion Paper Serie B 144, University of Bonn, Germany.
  65. Trockel,W., 1999. "A universal meta bargaining realization of the Nash solution," Working Papers 310, Bielefeld University, Center for Mathematical Economics.
  66. Herrero, Maria Jose, 1989. "The nash program: Non-convex bargaining problems," Journal of Economic Theory, Elsevier, vol. 49(2), pages 266-277, December.
  67. Ezra Einy & David Wettstein, 1999. "A non-cooperative interpretation of bargaining sets," Review of Economic Design, Springer, vol. 4(3), pages 219-230.
  68. Winter Eyal, 1994. "Non-cooperative Bargaining in Natural Monopolies," Journal of Economic Theory, Elsevier, vol. 64(1), pages 202-220, October.
  69. Moldovanu Benny & Winter Eyal, 1995. "Order Independent Equilibria," Games and Economic Behavior, Elsevier, vol. 9(1), pages 21-34, April.
  70. Montero, M.P., 1999. "Coalition Formation in Games with Externalities," Discussion Paper 1999-121, Tilburg University, Center for Economic Research.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Claus-Jochen Haake & Walter Trockel, 2010. "On Maskin monotonicity of solution based social choice rules," Review of Economic Design, Springer, vol. 14(1), pages 17-25, March.
  2. Eric Maskin, 2008. "Nash Equilibrium and Mechanism Design," Economics Working Papers 0086, Institute for Advanced Study, School of Social Science.
  3. Walter Trockel, 2009. "An exact non-cooperative support for the sequential Raiffa solution," Working Papers 426, Bielefeld University, Center for Mathematical Economics.
  4. Juan Vidal-Puga, 2005. "The Harsanyi paradox and the 'right to talk' in bargaining among coalitions," Game Theory and Information 0501005, EconWPA.
  5. Younghwan In, 2005. "A Fictitious-Play Model of Bargaining To Implement the Nash Solution," Departmental Working Papers wp0509, National University of Singapore, Department of Economics.
  6. Roberto Serrano, 2007. "Cooperative Games: Core And Shapley Value," Working Papers wp2007_0709, CEMFI.
  7. Hu, Cheng-Cheng & Tsay, Min-Hung & Yeh, Chun-Hsien, 2012. "Axiomatic and strategic justifications for the constrained equal benefits rule in the airport problem," Games and Economic Behavior, Elsevier, vol. 75(1), pages 185-197.
  8. Zhigang Cao, 2013. "Bargaining and cooperation in strategic form games with suspended realizations of threats," Social Choice and Welfare, Springer, vol. 41(2), pages 337-358, July.
  9. Vidal-Puga, Juan, 2013. "A non-cooperative approach to the ordinal Shapley rule," MPRA Paper 43790, University Library of Munich, Germany.
  10. Yuan Ju, 2013. "Efficiency and compromise: a bid-offer–counteroffer mechanism with two players," International Journal of Game Theory, Springer, vol. 42(2), pages 501-520, May.
  11. Claus-Jochen Haake, 2005. "Two support results for the Kalai-Smorodinsky solution in small object division markets," Working Papers 366, Bielefeld University, Center for Mathematical Economics.
  12. Kamijo, Yoshio, 2008. "Implementation of weighted values in hierarchical and horizontal cooperation structures," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 336-349, November.
  13. In, Younghwan, 2014. "Fictitious play property of the Nash demand game," Economics Letters, Elsevier, vol. 122(3), pages 408-412.
  14. Ju, Yuan, 2012. "Reject and renegotiate: The Shapley value in multilateral bargaining," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 431-436.
  15. Gomez, Juan Camilo, 2006. "Achieving efficiency with manipulative bargainers," Games and Economic Behavior, Elsevier, vol. 57(2), pages 254-263, November.

Lists

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

Statistics

Access and download statistics

Corrections

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.