The H&R Shapley value defined by Hsiao and Raghavan for multi-choice cooperative game is redundant free. If the H&R Shapley value is used as the solution of a game, there won't be any objection to a player's taking redundant actions. Therefore, the spirit of the law on equal job opportunities is...

The H&R multi-choice Shapley value defined by Hsiao and Raghavan for multi-choice cooperative game is redundant free. If the H&R value is used as the solution of a game, there won't be any objection to a player's taking redundant actions. Therefore, the spirit of the law on equal job...

We define a partially consistent property for a solution of cooperative TU games, then use the consistent property to characterize the well-known Shapley value.

We define the potential of multi-choice cooperative games, find the relationship between the multi-choice Shapley value and the potential, and show that the multi-choice Shapley value is consistent.

In 2007, Liao finished his Ph.d. dissertation[18](Liao 2007) entitled “The Solutions on Multi-choice Games”. Chapter 1 of the dissertation mainly worked on two special cases of the H&R multi-choice Shapley value. One assumes that the weight function w(j) is a positive constant function for...

We defined the potential for multi-choice cooperative games, and found the relationship between the potential and the multi-choice Shapley value. Moreover, we show that the multi-choice Shapley is consistent.