the shapley value, one of the most common solution concepts of cooperative game theory is defined and axiomatically characterized in different game-theoretic models. certainly, the shapley value can be used in interesting sharing cost/reward problems in the operations research area such as connection, routing, scheduling, production and inventory situations. in this paper, we focus on the shapl...

The allocation problem of rewards/costs is a basic question for players namely individuals and companies that planning cooperation under uncertainty. The involvement uncertainty in cooperative game theory motivated by the real world where noise observation experimental design, incomplete information further vagueness preference structures decision-making play an imp...

A coalitional (or cooperative) game is a model of interacting decision-makers that focuses on the behavior of groups of players. N denotes the set of players. A coalition is a group of players S ⊂ N . We refer to N as the grand coalition. Every coalition S has a set of available actions AS. An outcome consists of a partition of N (coalition structure) and one action associated with each coaliti...