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The core can be accessed with a bounded number of blocks

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  • Koczy, Laszlo A.

Abstract

We show the existence of an upper bound for the number of blocks required to get from one imputation to another provided that accessibility holds. The bound depends only on the number of players in the TU game considered. For the class of games with non-empty cores this means that the core can be reached via a bounded sequence of blocks.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Koczy, Laszlo A., 2006. "The core can be accessed with a bounded number of blocks," Journal of Mathematical Economics, Elsevier, vol. 43(1), pages 56-64, December.
    • Handle: RePEc:eee:mateco:v:43:y:2006:i:1:p:56-64
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    1. Sengupta, Abhijit & Sengupta, Kunal, 1994. "Viable Proposals," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(2), pages 347-359, May.
    2. 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.
    3. Diamantoudi, Effrosyni & Miyagawa, Eiichi & Xue, Licun, 2004. "Random paths to stability in the roommate problem," Games and Economic Behavior, Elsevier, vol. 48(1), pages 18-28, July.
    4. Baldwin, Richard E., 1995. "The Eastern enlargement of the European Union," European Economic Review, Elsevier, vol. 39(3-4), pages 474-481, April.
    5. Bennett, E. & van Damme, E.E.C., 1990. "Demand commitment bargaining : The case of apex games," Other publications TiSEM ef13c9a9-3db6-4939-96ef-5, Tilburg University, School of Economics and Management.
    6. R. M. Thrall & W. F. Lucas, 1963. "N‐person games in partition function form," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 10(1), pages 281-298, March.
    7. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
    8. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
    9. Xue, Licun, 1997. "Nonemptiness of the Largest Consistent Set," Journal of Economic Theory, Elsevier, vol. 73(2), pages 453-459, April.
    10. Yi, Sang-Seung, 1997. "Stable Coalition Structures with Externalities," Games and Economic Behavior, Elsevier, vol. 20(2), pages 201-237, August.
    11. Bond, Eric W. & Syropoulos, Constantinos, 1996. "The size of trading blocs Market power and world welfare effects," Journal of International Economics, Elsevier, vol. 40(3-4), pages 411-437, May.
    12. Eric W. Bond & Raymond G. Riezman & Constantinos Syropoulos, 2013. "A strategic and welfare theoretic analysis of free trade areas," World Scientific Book Chapters, in: Raymond Riezman (ed.), International Trade Agreements and Political Economy, chapter 8, pages 101-127, World Scientific Publishing Co. Pte. Ltd..
    13. Sengupta, Abhijit & Sengupta, Kunal, 1996. "A Property of the Core," Games and Economic Behavior, Elsevier, vol. 12(2), pages 266-273, February.
    14. Martin Richardson, 2017. "Trade and Competition Policies: Concordia Discors?," World Scientific Book Chapters, in: Dimensions of Trade Policy, chapter 11, pages 221-242, World Scientific Publishing Co. Pte. Ltd..
    15. Flam, Harry, 1995. "From EEA to EU: Economic consequences for the EFTA countries," European Economic Review, Elsevier, vol. 39(3-4), pages 457-466, April.
    16. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 603-627.
    17. Koczy, Laszlo A. & Lauwers, Luc, 2004. "The coalition structure core is accessible," Games and Economic Behavior, Elsevier, vol. 48(1), pages 86-93, July.
    18. 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.
    19. Syropoulos, Constantinos, 1999. "Customs Unions and Comparative Advantage," Oxford Economic Papers, Oxford University Press, vol. 51(2), pages 239-266, April.
    20. Bernheim, B. Douglas & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria II. Applications," Journal of Economic Theory, Elsevier, vol. 42(1), pages 13-29, June.
    21. Roth, Alvin E & Vande Vate, John H, 1990. "Random Paths to Stability in Two-Sided Matching," Econometrica, Econometric Society, vol. 58(6), pages 1475-1480, November.
    22. Massimo Morelli & Philippe Penelle, 1997. "Economic Integration as a Partition Function Game," Working Papers 9702, Harris School of Public Policy Studies, University of Chicago.
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    More about this item

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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