A further discussion on matching value for cooperative games and its application in profit allocation decision-making

摘要

Cooperative game is a mathematical model which describes a cooperative and conflict situation among n players. How to allocate the profits among each player after then-cooperation is very important. In this paper, we mainly aim to give a further discussion on the matching value of cooperative games from the following aspects: individually rationality, collective rationality, uniqueness, symmetry, structure coalition monotonicity, computing complexity and so on. Furthermore, a concrete example is given to show the effectiveness of the matching value compared with the Core and the Shapley value. Thus this paper can promote the development of cooperative games and lay a sound base for the profit allocation decision-making problem.