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Stationary Consistent Equilibrium Coalition Structures Constitute the Recursive Core

  • László Á. Kóczy

    (Budapest Tech)

We study coalitional games where the proceeds from cooperation depend on the entire coalition structure. The coalition structure core (Kóczy, 2007) is a generalisation of the coalition structure core for such games. We introduce a noncooperative, sequential coalition formation model and show that the set of equilibrium outcomes coincides with the recursive core. In order to extend past results to games that are not totally balanced (understood in this special setting) we introduce subgame-consistency that requires perfectness in relevant subgames only, while subgames that are never reached are ignored.

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Paper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2009.83.

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Date of creation: Oct 2009
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Handle: RePEc:fem:femwpa:2009.83
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  1. Asilis, Carlos M., 1995. "A note on the equivalence of time consistency and subgame perfection in stochastic games," European Economic Review, Elsevier, vol. 39(2), pages 245-251, February.
  2. Parkash Chander & Henry Tulkens, 1995. "A core-theoretic solution for the design of cooperative agreements on transfrontier pollution," International Tax and Public Finance, Springer, vol. 2(2), pages 279-293, August.
  3. 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.
  4. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
  5. Kóczy Lászlo Á., 2006. "Sequential Coalition Formation and the Core in the Presence of Externalities," Research Memorandum 047, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  6. Sang-Seung, Yi, 1996. "Endogenous formation of customs unions under imperfect competition: open regionalism is good," Journal of International Economics, Elsevier, vol. 41(1-2), pages 153-177, August.
  7. Fershtman, Chaim, 1989. "Fixed rules and decision rules : Time consistency and subgame perfection," Economics Letters, Elsevier, vol. 30(3), pages 191-194, September.
  8. 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.
  9. EYCKMANS, Johan & TULKENS, Henry, 1999. "Simulating coalitionally stable burden sharing agreements for the climate change problem," CORE Discussion Papers 1999026, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  10. Muthoo, Abhinay, 1990. "Bargaining without commitment," Games and Economic Behavior, Elsevier, vol. 2(3), pages 291-297, September.
  11. Chen-Ying Huang & Tomas Sjöström, 2010. "The Recursive Core for Non-Superadditive Games," Games, MDPI, Open Access Journal, vol. 1(2), pages 66-88, April.
  12. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-91, June.
  13. Chen Ying Huang & Tomas Sjostrom, 2005. "Implementation of the Recursive Core for Partition Function Form Games," Economics Working Papers 0052, Institute for Advanced Study, School of Social Science.
  14. Ray, Debraj, 2007. "A Game-Theoretic Perspective on Coalition Formation," OUP Catalogue, Oxford University Press, number 9780199207954, March.
  15. Kyle Hyndman & Debraj Ray, 2007. "Coalition Formation with Binding Agreements," Review of Economic Studies, Oxford University Press, vol. 74(4), pages 1125-1147.
  16. Yukihiko Funaki & Takehiko Yamato, 1999. "The core of an economy with a common pool resource: A partition function form approach," International Journal of Game Theory, Springer, vol. 28(2), pages 157-171.
  17. Shapley, Lloyd S. & Shubik, Martin, 1969. "On market games," Journal of Economic Theory, Elsevier, vol. 1(1), pages 9-25, June.
  18. Huang, Chen-Ying & Sjostrom, Tomas, 2003. "Consistent solutions for cooperative games with externalities," Games and Economic Behavior, Elsevier, vol. 43(2), pages 196-213, May.
  19. Francis Bloch, 1995. "Endogenous Structures of Association in Oligopolies," RAND Journal of Economics, The RAND Corporation, vol. 26(3), pages 537-556, Autumn.
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