Resumen de Partial ordered cooperative games

Justo Puerto Albandoz , F.R. Fernández

• In many real-world situations the only acceptable way to represent the evaluations of the actions is by means of elements of partial ordered linear spaces (functions of time, random variables, vector valued outcomes, . . . ). In this paper we analyze cooperative games whose characteristic functions are defined from the set of coalitions into a general partial ordered linear space. The concept of core is investigated and conditions that ensure nonemptiness are developed. Our results state that the use of any order preserving utility function only gives partial solutions to the general problem. Several examples that illustrate the general theory are included.