Article ID: | iaor2003347 |
Country: | United States |
Volume: | 112 |
Issue: | 2 |
Start Page Number: | 331 |
End Page Number: | 360 |
Publication Date: | Feb 2002 |
Journal: | Journal of Optimization Theory and Applications |
Authors: | Puerto J., Fernndez F.R., Hinojosa M.A. |
In this paper, we analyze core solution concepts for vector-valued cooperative games. In these games, the worth of a coalition is given by a vector rather than by a scalar. Thus, the classical concepts in cooperative game theory have to be revisited and redefined; the important principles of individual and collective rationality must be accommodated; moreover, the sense given to the domination relationship gives rise to two different theories. Although different, we show the areas which they share. This analysis permits us to propose a common solution concept that is analogous to the core for scalar cooperative games.