Binary games in constitutional form and collective choice |
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Institution: | 1. Turku School of Economics, University of Turku, Finland;2. Adam Smith Business School, University of Glasgow, United Kingdom;3. University of Helsinki and Helsinki Graduate School of Economics, Finland |
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Abstract: | In this paper, we define the notion of binary game in constitutional form. For this game, we define a core and give a necessary and sufficient condition for a game to be stable.We define a representation of a collective choice rule by a binary game in constitutional form and characterize those collective choice rules which are representable.We finally introduce the notion of c-social decision function and characterize, as an application of our theorem on stability of binary constitutional games, the collective choice rules which are c-social decision functions.Our representation of a collective choice rule by a binary game in constitutional form is an obvious improvement of the classical representation by a simple game. |
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