Miguel Hinojosa

We model bankruptcy problems under uncertainty under the assumption that there are several possible states of nature, each of which is identified with a different bankruptcy problem. For this multi-dimensional extension of classic bankruptcy problems, we consider situations in which agents exhibit at the same time additive preferences and leximin preferences on their possible results. We propose division rules which

This paper introduces and analyzes the class of multi-utilitarian solutions for cooperative bargaining problems. We show that generalized Gini solutions and inequality averse Choquet bargaining solutions are particular cases of this new multi-valued solution concept and provide a complete characterization of inequality averse multi-utilitarian solutions in which an invariance property consisting of a weakening of both the linear invariance axiom in Blackorby et al. (1994) and the restricted invariance axiom in Ok and Zhou (2000). Moreover, by relaxing the assumptions involved in the characterization, the class is extended to include equality averse multi-utilitarian solutions which are also studied in the paper.

European Journal of Operational Research. Volume 158, Issue 2, Pages 267-532. (16 October 2004). Methodological foundations of multi-criteria decision making. Pages 267-270. W odzimierz Ogryczak and Rudolf Vetschera. Axiomatic characterization of a general utility function and its particular cases in terms of conjoint measurement and rough-set decision rules. Pages 271-292. Salvatore Greco, Benedetto Matarazzo and Roman S owi ski. Out of the mist––towards decision-maker-friendly multiple criteria decision making support. Pages 293-307. ...