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Shapley-like values for interval bankruptcy games

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  • Brânzei, R.

    (Tilburg University)

  • Dimitrov, D.A.

    (Tilburg University)

  • Tijs, S.H.

    (Tilburg University)

Abstract

In this paper interval bankruptcy games arising from bankruptcy situations with interval claims are introduced. For this class of cooperative games two (marginal-based) Shapley-like values are considered and the relation between them is studied.

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Bibliographic Info

Paper provided by Tilburg University in its series Open Access publications from Tilburg University with number urn:nbn:nl:ui:12-121815.

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Date of creation: 2003
Date of revision:
Publication status: Published in Economics Bulletin (2003) v.3, p.1-8
Handle: RePEc:ner:tilbur:urn:nbn:nl:ui:12-121815

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Web page: http://www.tilburguniversity.edu/

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References

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  1. Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
  2. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, Elsevier, vol. 36(2), pages 195-213, August.
  3. Timmer, J.B. & Borm, P.E.M. & Tijs, S.H., 2000. "On Three Shapley-Like Solutions for Cooperative Games with Random Payoffs," Discussion Paper, Tilburg University, Center for Economic Research 2000-73, Tilburg University, Center for Economic Research.
  4. Brânzei, R. & Dimitrov, D.A. & Pickl, S. & Tijs, S.H., 2002. "How to Cope with Division Problems under Interval Uncertainty of Claims?," Discussion Paper, Tilburg University, Center for Economic Research 2002-96, Tilburg University, Center for Economic Research.
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Cited by:
  1. Alparslan Gök, S.Z. & Branzei, O. & Branzei, R. & Tijs, S., 2011. "Set-valued solution concepts using interval-type payoffs for interval games," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 621-626.
  2. Brânzei, R. & Dall'Aglio, M. & Tijs, S.H., 2008. "Interval Game Theoretic Division Rules," Discussion Paper, Tilburg University, Center for Economic Research 2008-97, Tilburg University, Center for Economic Research.
  3. William Thomson, 2013. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: an update," RCER Working Papers 578, University of Rochester - Center for Economic Research (RCER).
  4. Alparslan-Gok, S.Z. & Brânzei, R. & Tijs, S.H., 2008. "Cores and Stable Sets for Interval-Valued Games," Discussion Paper, Tilburg University, Center for Economic Research 2008-17, Tilburg University, Center for Economic Research.
  5. Helga Habis & P. Jean-Jacques Herings, 2012. "Stochastic Bankruptcy Games," IEHAS Discussion Papers, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences 1205, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
  6. Luisa Carente & Balbina Casas-Mendez & Ignacio Carcia-Jurado & Anne van den Nouweland, 2007. "The Truncated Core for Games with Limited Aspirations," Department of Economics - Working Papers Series, The University of Melbourne 1010, The University of Melbourne.
  7. repec:ebl:ecbull:v:3:y:2008:i:56:p:1-10 is not listed on IDEAS
  8. Yan-an Hwang & Ming-chuan Chen, 2012. "A new axiomatization of the Shapley value under interval uncertainty," Economics Bulletin, AccessEcon, vol. 32(1), pages 799-810.
  9. Luisa Carpente & Balbina Casas-Méndez & Ignacio García-Jurado & Anne Nouweland, 2008. "Coalitional Interval Games for Strategic Games in Which Players Cooperate," Theory and Decision, Springer, Springer, vol. 65(3), pages 253-269, November.
  10. S. Alparslan-Gök & Silvia Miquel & Stef Tijs, 2009. "Cooperation under interval uncertainty," Computational Statistics, Springer, Springer, vol. 69(1), pages 99-109, March.
  11. Theo Driessen & Dongshuang Hou & Aymeric Lardon, 2011. "Stackelberg oligopoly TU-games: characterization of the core and 1-concavity of the dual game," Working Papers, HAL halshs-00610840, HAL.
  12. Gerhard-Wilhelm Weber & Erik Kropat & Basak Akteke-Öztürk & Zafer-Korcan Görgülü, 2009. "A survey on OR and mathematical methods applied on gene-environment networks," Central European Journal of Operations Research, Springer, Springer, vol. 17(3), pages 315-341, September.
  13. Rodica Branzei & Sirma Zeynep Alparslan Gok, 2008. "Bankruptcy problems with interval uncertainty," Economics Bulletin, AccessEcon, vol. 3(56), pages 1-10.
  14. Rodica Branzei & Marco Dall'Aglio & Stef H. Tijs, 2013. "On Bankruptcy Game Theoretic Interval Rules," Papers 1301.3096, arXiv.org.
  15. Alparslan-Gok, S.Z. & Brânzei, R. & Tijs, S.H., 2008. "Big Boss Interval Games," Discussion Paper, Tilburg University, Center for Economic Research 2008-47, Tilburg University, Center for Economic Research.
  16. Moretti, S. & Alparslan-Gok, S.Z. & Brânzei, R. & Tijs, S.H., 2008. "Connection Situations under Uncertainty," Discussion Paper, Tilburg University, Center for Economic Research 2008-64, Tilburg University, Center for Economic Research.
  17. Li, Deng-Feng, 2011. "Linear programming approach to solve interval-valued matrix games," Omega, Elsevier, Elsevier, vol. 39(6), pages 655-666, December.
  18. G.-W. Weber & P. Taylan & S. Alparslan-Gök & S. Özöğür-Akyüz & B. Akteke-Öztürk, 2008. "Optimization of gene-environment networks in the presence of errors and uncertainty with Chebychev approximation," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, Springer, vol. 16(2), pages 284-318, December.

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