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The core can be accessed with a bounded number of blocks

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  • Kóczy, L.Á.

    (Microeconomics & Public Economics)

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.
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  • Kóczy, L.Á., 2005. "The core can be accessed with a bounded number of blocks," Research Memorandum 043, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  • Handle: RePEc:unm:umamet:2005043
    DOI: 10.26481/umamet.2005043
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    1. Sengupta, Abhijit & Sengupta, Kunal, 1996. "A Property of the Core," Games and Economic Behavior, Elsevier, vol. 12(2), pages 266-273, February.
    2. 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..
    3. 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..
    4. 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.
    5. Bennett, E. & van Damme, E.E.C., 1990. "Demand commitment bargaining : The case of apex games," Discussion Paper 1990-62, Tilburg University, Center for Economic Research.
    6. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
    7. 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.
    8. 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.
    9. 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.
    10. Koczy, Laszlo A. & Lauwers, Luc, 2004. "The coalition structure core is accessible," Games and Economic Behavior, Elsevier, vol. 48(1), pages 86-93, July.
    11. 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.
    12. 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.
    13. Baldwin, Richard E., 1995. "The Eastern enlargement of the European Union," European Economic Review, Elsevier, vol. 39(3-4), pages 474-481, April.
    14. Syropoulos, Constantinos, 1999. "Customs Unions and Comparative Advantage," Oxford Economic Papers, Oxford University Press, vol. 51(2), pages 239-266, April.
    15. 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.
    16. 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.
    17. 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.
    18. Massimo Morelli & Philippe Penelle, 1997. "Economic Integration as a Partition Function Game," Working Papers 9702, Harris School of Public Policy Studies, University of Chicago.
    19. 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.
    20. Xue, Licun, 1997. "Nonemptiness of the Largest Consistent Set," Journal of Economic Theory, Elsevier, vol. 73(2), pages 453-459, April.
    21. Yi, Sang-Seung, 1997. "Stable Coalition Structures with Externalities," Games and Economic Behavior, Elsevier, vol. 20(2), pages 201-237, August.
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    Cited by:

    1. Yang, Yi-You, 2012. "On the accessibility of core-extensions," Games and Economic Behavior, Elsevier, vol. 74(2), pages 687-698.
    2. repec:spr:compst:v:78:y:2013:i:2:p:187-202 is not listed on IDEAS
    3. Yang, Yi-You, 2010. "On the accessibility of the core," Games and Economic Behavior, Elsevier, vol. 69(1), pages 194-199, May.
    4. Fischer, Carolyn & Sedjo, Roger & Jawahar, Puja & Aguilar , Francisco, 2005. "Forest Certification: Toward Common Standards?," Discussion Papers dp-05-10, Resources For the Future.
    5. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2010. "On the number of blocks required to access the core," MPRA Paper 26578, University Library of Munich, Germany.
    6. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2013. "An optimal bound to access the core in TU-games," Games and Economic Behavior, Elsevier, vol. 80(C), pages 1-9.
    7. Mauleon, Ana & Roehl, Nils & Vannetelbosch, Vincent, 2019. "Paths to stability for overlapping group structures," Journal of Mathematical Economics, Elsevier, vol. 83(C), pages 19-24.
    8. Wibbels, Erik, 2006. "Dependency Revisited: International Markets, Business Cycles, and Social Spending in the Developing World," International Organization, Cambridge University Press, vol. 60(2), pages 433-468, April.
    9. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, December.
    10. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2011. "On the number of blocks required to access the coalition structure core," MPRA Paper 29755, University Library of Munich, Germany.
    11. Szikora Péter, 2011. "Tanítás értelmezhetõ-e, mint egy kooperatív dinamikus játék?," Proceedings- 9th International Conference on Mangement, Enterprise and Benchmarking (MEB 2011),, Óbuda University, Keleti Faculty of Business and Management.
    12. Gedai, Endre & Kóczy, László Á. & Zombori, Zita, 2012. "Cluster games: A novel, game theory-based approach to better understand incentives and stability in clusters," MPRA Paper 65095, University Library of Munich, Germany.
    13. Péter Szikora, 2012. "Dynamic cooperative models of coalition formation and the core," Proceedings- 10th International Conference on Mangement, Enterprise and Benchmarking (MEB 2012),, Óbuda University, Keleti Faculty of Business and Management.
    14. Sylvain Béal & Eric Rémila & Philippe Solal, 2013. "Accessibility and stability of the coalition structure core," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 78(2), pages 187-202, October.
    15. Yang, Yi-You, 2011. "Accessible outcomes versus absorbing outcomes," Mathematical Social Sciences, Elsevier, vol. 62(1), pages 65-70, July.
    16. Stacie A. Bosley & Sarah Greenman & Samantha Snyder, 2020. "Voluntary Disclosure And Earnings Expectations In Multi‐Level Marketing," Economic Inquiry, Western Economic Association International, vol. 58(4), pages 1643-1662, October.
    17. Péter Szikora, 2010. "A comparison of dynamic cooperative models of coalition formation," Proceedings-8th International Conference on Mangement,Enterprise and Benchmarking (MEB 2010),, Óbuda University, Keleti Faculty of Business and Management.
    18. Claudia Rave & Ricardo A. Smith & Angela I. Cadena & Juan M. Alzate Y & Juan. D. Vasquez, 2000. "Integrated Energy-Environment-Economy Evaluation of the Energy Sector in the Metropolitan Area of the Aburra Valley (Colombia) For Sustainable Development," Regional and Urban Modeling 283600080, EcoMod.
    19. Shahidur, Rashid & Meron, Assefa, 2008. "Cereal price instability in Ethiopia: An examination of sources and policy options," 2007 Second International Conference, August 20-22, 2007, Accra, Ghana 51999, African Association of Agricultural Economists (AAAE).

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    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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