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The Constrained Equal Awards Rule for Bankruptcy Problems with a Priori Unions

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Abstract

In this paper, we provide two extensions of the constrained equal awards rule for bankruptcy situations to the class of bankruptcy situations with a priori unions. We present some characterisations and relations with corresponding games. The two new extensions are illustrated by a specific application.

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References

  • Calleja, P., P. Borm, and R. Hendrickx. (2005). “Multi-Issue Allocation Situations.” European Journal of Operational Research 164, 730–747.

    Article  Google Scholar 

  • Casas-Méndez, B., I. García-Jurado, A. van den Nouweland, and M. Vázquez-Brage. (2003). “An Extension of the τ-Value to Games with Coalition Structures.” European Journal of Operational Research 148, 494–513.

    Article  Google Scholar 

  • Curiel, I., M. Maschler, and S. Tijs. (1987). “Bankruptcy Games.” Zeitschriftfur Operations Research (Now: Mathematical Methods of Operations Research) 31, 143–159.

    Google Scholar 

  • Dagan, N. (1996). “New Characterizations of Old Bankruptcy Rules.” SocialChoice and Welfare 13, 51–59.

    Article  Google Scholar 

  • Driessen, T. and S. Tijs. (1985). “The τ-Value, the Core andSemiconvex Games.” International Journal of Game Theory 14, 229–247.

    Article  Google Scholar 

  • Hamiache, G. (1999). “A New Axiomatization of the Owen Value for Games with Coalition Structures.” Mathematical Social Sciences 37, 281–305.

    Article  Google Scholar 

  • Herrero, C. and A. Villar. (2002). “Sustainability in Bankruptcy Problems.” TOP 10, 261–273.

    Google Scholar 

  • O'Neill, B. (1982). “A Problem of Rights Arbitration from the Talmud.” Mathematical Social Sciences 2, 345–371.

    Article  Google Scholar 

  • Owen, G. (1977). “Values of Games with a Priori Unions.” In R. Henn and O. Moeschlin (eds.), Mathematical Economics and Game Theory, Heidelberg: Springer-Verlag, pp. 76–88.

    Google Scholar 

  • Thomson, W. (2003). “Axiomatic and Game Theoretic Analysis of Bankruptcy and Taxation Problems: A Survey.” Mathematical SocialSciences 45, 249–297.

    Article  Google Scholar 

  • Winter, E. (1992). “The Consistency and Potential for Values with Coalition Structures.” Games and Economic Behavior 4, 132–144.

    Article  Google Scholar 

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Borm, P., Carpente, L., Casas-Méndez, B. et al. The Constrained Equal Awards Rule for Bankruptcy Problems with a Priori Unions. Ann Oper Res 137, 211–227 (2005). https://doi.org/10.1007/s10479-005-2257-4

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  • DOI: https://doi.org/10.1007/s10479-005-2257-4

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