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

Chih-Ru Hsiao () and Wen-Lin Chiou

MPRA Paper from University Library of Munich, Germany

Abstract: 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.

Keywords: Shapley value; multi-choice cooperative game; redundant free; independent of non-essential players. (search for similar items in EconPapers)
JEL-codes: C7 K31 (search for similar items in EconPapers)
Date: 2009-07-01
New Economics Papers: this item is included in nep-gth and nep-mic
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