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Gamson’s law and hedonic games
Authors:Michel Le Breton  Ignacio Ortuño-Ortin  Shlomo Weber
Institution:(1) Université de Toulouse 1, GREMAQ and IDEI, 21 allee de Brienne, 31000 Toulouse, France;(2) Department of Economics, Universidad de Alicante and IVIE, Alicante, Spain;(3) Department of Economics, Southern Methodist University, Dallas, USA;(4) CORE, Catholic University of Louvain, Louvain La Neuve, Belgium
Abstract:This note adds one celebrated coalition formation game due to Gamson (Am Soc Rev 26:373–382 1961a, Am Soc Rev 26:565–573, 1961b) in the list of applications of the theory of hedonic games explored by Banerjee et al. (Soc Choice Welf 18:135–153, 2001) and Bogomolnaia and Jackson (Games Econ Behav 38: 204–230, 2002). We apply their results to study the original Gamson game and offer extensions both to a multi-dimensional characteristics space and to an infinite number of players.
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