RECURSIVE SEQUENCES IDENTIFYING THE NUMBER OF EMBEDDED COALITIONS

David W. K. Yeung
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David W. K. Yeung: Department of Finance & Decision Sciences, Hong Kong Baptist University, Kowloon Tong, Hong Kong;

International Game Theory Review (IGTR), 2008, vol. 10, issue 01, 129-136

Abstract: Strategic behaviors of players depend crucially on the coalition structures of a game. A recursive sequence identifying the number of embedded coalitions in an-player game is derived. The paper also derives a recursive sequence identifying the number of embedded coalitions in an-player game where the position of the individual player in a partition counts.

Keywords: Recursive sequence; embedded coalitions; cooperative games; 22E46; 53C35; 57S20 (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S0219198908001819

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