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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Calleja, P., P. Borm, and R. Hendrickx. (2005). “Multi-Issue Allocation Situations.” European Journal of Operational Research 164, 730–747.
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.
Curiel, I., M. Maschler, and S. Tijs. (1987). “Bankruptcy Games.” Zeitschriftfur Operations Research (Now: Mathematical Methods of Operations Research) 31, 143–159.
Dagan, N. (1996). “New Characterizations of Old Bankruptcy Rules.” SocialChoice and Welfare 13, 51–59.
Driessen, T. and S. Tijs. (1985). “The τ-Value, the Core andSemiconvex Games.” International Journal of Game Theory 14, 229–247.
Hamiache, G. (1999). “A New Axiomatization of the Owen Value for Games with Coalition Structures.” Mathematical Social Sciences 37, 281–305.
Herrero, C. and A. Villar. (2002). “Sustainability in Bankruptcy Problems.” TOP 10, 261–273.
O'Neill, B. (1982). “A Problem of Rights Arbitration from the Talmud.” Mathematical Social Sciences 2, 345–371.
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.
Thomson, W. (2003). “Axiomatic and Game Theoretic Analysis of Bankruptcy and Taxation Problems: A Survey.” Mathematical SocialSciences 45, 249–297.
Winter, E. (1992). “The Consistency and Potential for Values with Coalition Structures.” Games and Economic Behavior 4, 132–144.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Issue Date:
DOI: https://doi.org/10.1007/s10479-005-2257-4