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Demand bargaining and proportional payoffs in majority games
Authors:Maria Montero  Juan J Vidal-Puga  
Institution:a School of Economics, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom;b Research Group of Economic Analysis (RGEA) and Department of Statistics and Operations Research, University of Vigo, Facultad de Ciencias Sociales, Campus A Xunqueira, 36005 Pontevedra, Spain
Abstract:We study a majoritarian bargaining model in which players make payoff demands in decreasing order of voting weight. The unique subgame perfect equilibrium outcome is such that the minimal winning coalition of the players that move first forms with payoffs proportional to the voting weights. This result advances previous analysis in terms of one or more of the following: a) the simplicity of the extensive form (finite horizon with a predetermined order of moves); b) the range of the majority games covered; c) the equilibrium concept (subgame perfect equilibrium is sufficient for a unique prediction).
Keywords:Demand bargaining  Coalition formation  Weighted majority games  Minimal winning coalitions
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