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An Implementation-Theoretic Approach to Non-cooperative Foundations

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  • Bergin, James
  • Duggan, John

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  • 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.
    • Handle: RePEc:eee:jetheo:v:86:y:1999:i:1:p:50-76
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    7. Bhaskar Dutta & Arunava Sen & Rajiv Vohra, 1994. "Nash implementation through elementary mechanisms in economic environments," Review of Economic Design, Springer;Society for Economic Design, vol. 1(1), pages 173-203, December.
    8. Ichiishi, Tatsuro, 1981. "A Social Coalitional Equilibrium Existence Lemma," Econometrica, Econometric Society, vol. 49(2), pages 369-377, March.
    9. Kalyan Chatterjee & Bhaskar Dutia & Debraj Ray & Kunal Sengupta, 2013. "A Noncooperative Theory of Coalitional Bargaining," World Scientific Book Chapters, in: Bargaining in the Shadow of the Market Selected Papers on Bilateral and Multilateral Bargaining, chapter 5, pages 97-111, World Scientific Publishing Co. Pte. Ltd..
    10. 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.
    11. Moulin, H., 1984. "Implementing the Kalai-Smorodinsky bargaining solution," Journal of Economic Theory, Elsevier, vol. 33(1), pages 32-45, June.
    12. 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.
    13. Serrano Roberto, 1995. "A Market to Implement the Core," Journal of Economic Theory, Elsevier, vol. 67(1), pages 285-294, October.
    14. Mas-Colell, Andreu, 1975. "A further result on the representation of games by markets," Journal of Economic Theory, Elsevier, vol. 10(1), pages 117-122, February.
    15. 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.
    16. Matthew O. Jackson, 1992. "Implementation in Undominated Strategies: A Look at Bounded Mechanisms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(4), pages 757-775.
    17. Scarf, Herbert E., 1971. "On the existence of a coopertive solution for a general class of N-person games," Journal of Economic Theory, Elsevier, vol. 3(2), pages 169-181, June.
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    19. Jackson Matthew O. & Palfrey Thomas R. & Srivastava Sanjay, 1994. "Undominated Nash Implementation in Bounded Mechanisms," Games and Economic Behavior, Elsevier, vol. 6(3), pages 474-501, May.
    20. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    21. Abreu, Dilip & Sen, Arunava, 1990. "Subgame perfect implementation: A necessary and almost sufficient condition," Journal of Economic Theory, Elsevier, vol. 50(2), pages 285-299, April.
    22. Bergin, James, 1992. "A model of strategic behaviour in repeated games," Journal of Mathematical Economics, Elsevier, vol. 21(2), pages 113-153.
    23. Shapley, Lloyd S. & Shubik, Martin, 1969. "On market games," Journal of Economic Theory, Elsevier, vol. 1(1), pages 9-25, June.
    24. Moore, John & Repullo, Rafael, 1990. "Nash Implementation: A Full Characterization," Econometrica, Econometric Society, vol. 58(5), pages 1083-1099, September.
    25. Mark Bagnoli & Barton L. Lipman, 1989. "Provision of Public Goods: Fully Implementing the Core through Private Contributions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(4), pages 583-601.
    26. 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 949-980, November.
    27. Billera, Louis J., 1974. "On games without side payments arising from a general class of markets," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 129-139, August.
    28. John Conley & Simon Wilkie, 1994. "Implementing the nash extension bargaining solution for non-convex problems," Review of Economic Design, Springer;Society for Economic Design, vol. 1(1), pages 205-216, December.
    29. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-380, March.
    30. Roberto Serrano & Rajiv Vohra, 1997. "Non-cooperative implementation of the core," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(4), pages 513-525.
    31. Yves Sprumont, 1998. "On the Game-Theoretic Structure of Public-Good Economies," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(4), pages 455-472.
    32. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January.
    33. Serrano, Roberto, 1993. "Non-cooperative Implementation of the Nucleolus: The 3-Player Case," International Journal of Game Theory, Springer;Game Theory Society, vol. 22(4), pages 345-357.
    34. Ichiishi,Tatsuro, 1993. "The Cooperative Nature of the Firm," Cambridge Books, Cambridge University Press, number 9780521414449, October.
    35. Moldovanu Benny & Winter Eyal, 1995. "Order Independent Equilibria," Games and Economic Behavior, Elsevier, vol. 9(1), pages 21-34, April.
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    Cited by:

    1. Haake, Claus-Jochen, 2009. "Two support results for the Kalai-Smorodinsky solution in small object division markets," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 177-187, March.
    2. Roberto Serrano, 2005. "Fifty years of the Nash program, 1953-2003," Investigaciones Economicas, Fundación SEPI, vol. 29(2), pages 219-258, May.
    3. Brennan Platt, 2009. "Spoilers, blocking coalitions, and the core," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(3), pages 361-381, September.
    4. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 655-708.
    5. Trockel, Walter, 2017. "Can and should the Nash Program be looked at as a part of mechanism theory," Center for Mathematical Economics Working Papers 322, Center for Mathematical Economics, Bielefeld University.
    6. Trockel, Walter, 2011. "An exact non-cooperative support for the sequential Raiffa solution," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 77-83, January.
    7. Nicolas Faysse, 2005. "Coping With The Tragedy Of The Commons: Game Structure And Design Of Rules," Post-Print cirad-01002167, HAL.
    8. Cho, Seok-ju & Duggan, John, 2009. "Bargaining foundations of the median voter theorem," Journal of Economic Theory, Elsevier, vol. 144(2), pages 851-868, March.
    9. Roberto Serrano, 2021. "Sixty-seven years of the Nash program: time for retirement?," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 12(1), pages 35-48, March.
    10. Walter Trockel, 2002. "Integrating the Nash program into mechanism theory," Review of Economic Design, Springer;Society for Economic Design, vol. 7(1), pages 27-43.
    11. Felix Brandt & Paul Harrenstein, 2010. "Characterization of dominance relations in finite coalitional games," Theory and Decision, Springer, vol. 69(2), pages 233-256, August.
    12. Mizukami, Hideki & Wakayama, Takuma, 2020. "Dominant strategy implementation of bargaining solutions," Mathematical Social Sciences, Elsevier, vol. 104(C), pages 60-67.
    13. Claus-Jochen Haake & Walter Trockel, 2010. "On Maskin monotonicity of solution based social choice rules," Review of Economic Design, Springer;Society for Economic Design, vol. 14(1), pages 17-25, March.
    14. Hannu Vartiainen, 2007. "Nash implementation and the bargaining problem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(2), pages 333-351, September.
    15. Brangewitz, Sonja & Gamp, Jan-Philip, 2016. "Inner Core, Asymmetric Nash Bargaining Solutions and Competitive Payoffs," Center for Mathematical Economics Working Papers 453, Center for Mathematical Economics, Bielefeld University.
    16. Claus-Jochen Haake & Walter Trockel, 2022. "Socio-legal systems and implementation of the Nash solution in Debreu–Hurwicz equilibrium," Review of Economic Design, Springer;Society for Economic Design, vol. 26(4), pages 635-649, December.
    17. Papatya Duman & Walter Trockel, 2016. "On non-cooperative foundation and implementation of the Nash solution in subgame perfect equilibrium via Rubinstein's game," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 1(1), pages 83-107, December.

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