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The Coalition Structure Core is Accessible

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  • László Á. Kóczy

    (Katholieke Universiteit Leuven)

  • Luc Lauwers

    (Katholieke Universiteit Leuven)

Abstract

For each outcome (i.e.~a payoff vector augmented with a coalition structure) of a TU-game with a non-empty coalition structure core there exists a finite sequence of successively dominating outcomes that terminates in the coalition structure core. In order to obtain this result a restrictive dominance relation - which we label outsider independent - is employed.

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File URL: http://128.118.178.162/eps/game/papers/0110/0110001.pdf
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Bibliographic Info

Paper provided by EconWPA in its series Game Theory and Information with number 0110001.

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Length: 8 pages
Date of creation: 03 Oct 2001
Date of revision: 26 Jun 2002
Handle: RePEc:wpa:wuwpga:0110001

Note: Type of Document - PDF; prepared on IBM PC - PC-TEX; to print on PostScript; pages: 8 ; figures: none
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Web page: http://128.118.178.162

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Keywords: Coalition structure; core-extension; non-emptiness; dominance;

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References

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  1. Green, Jerry R, 1974. "The Stability of Edgeworth's Recontracting Process," Econometrica, Econometric Society, vol. 42(1), pages 21-34, January.
  2. Sengupta, Abhijit & Sengupta, Kunal, 1996. "A Property of the Core," Games and Economic Behavior, Elsevier, vol. 12(2), pages 266-273, February.
  3. 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 347-59, May.
  4. Diamantoudi, Effrosyni & Xue, Licun, 2007. "Coalitions, agreements and efficiency," Journal of Economic Theory, Elsevier, vol. 136(1), pages 105-125, September.
  5. Greenberg, Joseph, 1994. "Coalition structures," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 37, pages 1305-1337 Elsevier.
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Citations

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Cited by:
  1. Cesco, Juan Carlos, 2008. "A general characterization for non-balanced games in terms of U-cycles," European Journal of Operational Research, Elsevier, vol. 191(2), pages 409-415, December.
  2. Laszlo.A.Koczy, 2005. "The Core Can Be Accessed with a Bounded Number of Blocks," IEHAS Discussion Papers 0512, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
  3. Yang, Yi-You, 2011. "Accessible outcomes versus absorbing outcomes," Mathematical Social Sciences, Elsevier, vol. 62(1), pages 65-70, July.
  4. 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.
  5. Laszlo A. Koczy & Luc Lauwers, 2004. "The minimal dominant set is a non-empty core-extension," IEHAS Discussion Papers 0421, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
  6. Peter Biro & Matthijs Bomhoff & Walter Kern & Petr A. Golovach & Daniel Paulusma, 2012. "Solutions for the Stable Roommates Problem with Payments," IEHAS Discussion Papers 1211, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
  7. Gabrielle Demange, 2006. "The strategy structure of some coalition formation games," PSE Working Papers halshs-00590290, HAL.
  8. repec:hal:wpaper:halshs-00590290 is not listed on IDEAS
  9. Sylvain Béal & Eric Rémila & Philippe Solal, 2013. "Accessibility and stability of the coalition structure core," Computational Statistics, Springer, vol. 78(2), pages 187-202, October.
  10. Péter Biró & Gethin Norman, 2013. "Analysis of stochastic matching markets," International Journal of Game Theory, Springer, vol. 42(4), pages 1021-1040, November.
  11. 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.
  12. Yang, Yi-You, 2010. "On the accessibility of the core," Games and Economic Behavior, Elsevier, vol. 69(1), pages 194-199, May.
  13. Péter Szikora, 2013. "Introduction into the literature of cooperative game theory with special emphasis on dynamic games and the core," Proceedings- 11th International Conference on Mangement, Enterprise and Benchmarking (MEB 2013), Óbuda University, Keleti Faculty of Business and Management.
  14. 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.

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