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Author Dimitrov, Dinko ♦ Haake, Claus-Jochen
Source EconStor
Content type Text
Publisher Bielefeld University, Institute of Mathematical Economics (IMW)
File Format PDF
Language English
Subject Domain (in DDC) Social sciences ♦ Economics
Subject Keyword Coalition formation ♦ Core ♦ Paradox of smaller coalitions ♦ Simple games ♦ Top coalition property ♦ Regierungskoalition ♦ Transferable Utility Games ♦ Kooperatives Spiel ♦ Core ♦ Public Choice ♦ Theorie ♦ Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior ♦ Cooperative Games
Abstract We consider hedonic coalition formation games that are induced by a simple TU-game and a cooperative solution. For such models, Shenoy's (1979) absence of the paradox of smaller coalitions provides a sufficient condition for core existence. We present three different versions of his condition in order to compare it to the top coalition property of Banerjee et al. (2001) that guarantees nonemptiness of the core in more general models. As it turns out, the top coalition property implies a condition in which Shenoy's paradox is not present for at least one minimal winning coalition. Conversely, if for each non-null player Shenoy's paradox is not present for at least one minimal winnig coalition containing that player, then the induced hedonic game satisfies the top coalition property.
Part of series Working Papers x386
Learning Resource Type Article
Publisher Date 2006-01-01
Publisher Place Bielefeld
Rights Holder http://www.econstor.eu/dspace/Nutzungsbedingungen