The constrained equal loss rule in problems with constraints and claims

Abstract

In this article I study how to distribute a resource among different agents claiming on it, according to the equal loss principle, when there are some constraints in the problem. I introduce one single-valued rule. Some properties of this rule are given as well as an axiomatic characterization.

Keywords:

• bankruptcy problems
• PERT problems
• equal loss principle

2000 Mathematics Subject Classifications::

• 91A12

Acknowledgement

Financial support from the Ministerio de Ciencia y Tecnología and FEDER through grant SEJ2005-07637-C02-01 and Xunta de Galicia via grants PGIDIT06PXIC3000184PN and PGIDIT06PXIB362390PR is gratefully acknowledged. I thank my advisor Gustavo Bergantiños for his comments on this article.