The Equal Surplus Division Based the Bargaining Power of Priori Coalition in the Coalition Structure Game

As a member of priori coalition, the motivation for a player to participate in the grand coalition is to get more payoff value, so the scale of the priori coalition needs to be considered in the allocation among the priori coalitions. Considering the size difference of prior coalitions, two extensions of ESD value are given, which are the weighted equal surplus division value (EEw) and the equal surplus division value (EE). Furthermore, a more general weighted equal surplus division (EEgw) is proposed by modifying the weights on the priori coalitions, by which the stability of coalition structure can be gotten. Meanwhile, in order to take consideration of player’s marginal contribution within a priori coalition, another general weighted equal surplus division (ESgw) is defined by replacing the second step of EEgw by Shapley value. The proposed general values can be used to compare the distribution difference before and after participating in the coalition structure