Modeling a Multi-Choice Game Based on the Spirit of Equal Job Opportunities (New)

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 automatically fulfilled. Also, if the H&R Shapley value is used as the solution of a game, it makes no difference to the players whether they have the same number of options or not. Moreover, the D&P Shapley value, the P&Z Shapley value and the WAC value are linear combinations of the H&R Shapley value, hence, they have all the same dummy free properties and the independent property as does the H&R Shapley value. Finally the N&P Shapley value is not redundant free.