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Shapley-like values for interval bankruptcy games

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Author Info
Rodica Branzei () (Faculty of Computer Science, Alexandru Ioan Cuza University, Iasi, Romania)
Dinko Dimitrov () (CentER and Department of Econometrics and Operations Research, Tilburg University, The Netherlands)
Stef Tijs () (CentER and Department of Econometrics and Operations Research, Tilburg University, The Netherlands)

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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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File URL: http://www.economicsbulletin.com/2003/volume3/EB-03C70012A.pdf
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Publisher Info
Article provided by Economics Bulletin in its journal Economics Bulletin.

Volume (Year): 3 (2003)
Issue (Month): 9 ()
Pages: 1-8
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:ebl:ecbull:v:3:y:2003:i:9:p:1-8

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Postal: Economics Bulletin, Department of Economics, 414 Calhoun Hall, Vanderbilt University, Nashville TN 37235, USA
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Related research
Keywords: Bankruptcy games; Bankruptcy situations; Interval games; Shapley value;

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Find related papers by JEL classification:
C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Branzei, R. & Dimitrov, D. & Pickl, S. & Tijs, S., 2002. "How to cope with division problems under interval uncertainty of claims?," Discussion Paper 96, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  2. O'Neill, Barry, 1982. "A problem of rights arbitration from the Talmud," Mathematical Social Sciences, Elsevier, vol. 2(4), pages 345-371, June. [Downloadable!] (restricted)
  3. Timmer, J. & Borm, P. & Tijs, S., 2000. "On three Shapley-like solutions for cooperative games with random payoffs," Discussion Paper 73, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  4. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Luisa Carpente & Balbina Casas-Mendez & Ignacio Garcia-Jurado & Anne van den Nouweland, 2005. "Interval values for strategic games in which players cooperate," University of Oregon Economics Department Working Papers 2005-16, University of Oregon Economics Department. [Downloadable!]
  2. Alparslan-Gok, S.Z. & Branzei, R. & Tijs, S.H., 2008. "Big Boss Interval Games," Discussion Paper 2008-47, Tilburg University, Center for Economic Research. [Downloadable!]
  3. 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 1010, The University of Melbourne. [Downloadable!]
  4. Anne van den Nouweland & Luisa Carpente & Balbina Casas-Méndez & Ignacio García-Jurado, 2007. "The truncated core for games with limited aspirations," University of Oregon Economics Department Working Papers 2007-13, University of Oregon Economics Department. [Downloadable!]
  5. 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, vol. 16(2), pages 284-318, December. [Downloadable!] (restricted)
  6. Rodica Branzei & Sirma Zeynep Alparslan Gok, 2008. "Bankruptcy problems with interval uncertainty," Economics Bulletin, Economics Bulletin, vol. 3(56), pages 1-10. [Downloadable!]
  7. Alparslan-Gok, S.Z. & Branzei, R. & Tijs, S.H., 2008. "Cores and Stable Sets for Interval-Valued Games," Discussion Paper 2008-17, Tilburg University, Center for Economic Research. [Downloadable!]
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This page was last updated on 2009-11-16.

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