An axiomatic characterization for regular semivalues

Semivalues form a wide family of solutions for cooperative games. The payoff that a semivalue allocates to each player in a given game is a weighted sum of the marginal contributions of the player in the game, and the weighting coefficients depend only on the coalition size. In this paper we provide an axiomatic characterization for each semivalue the weighting coefficients of which are all positive (regular semivalue).