Pongou, Roland and Tchantcho, Bertrand and Diffo Lambo, Lawrence (2008): Political Influence in MultiChoice Institutions: Cyclicity, Anonymity and Transitivity.

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Abstract
We study political influence in institutions where members choose from among several options their levels of support to a collective goal, these individual choices determining the degree to which the goal is reached. Influence is assessed by newly defined binary relations, each of which compares any two individuals on the basis of their relative performance at a corresponding level of participation. For institutions with three levels of support (e.g., voting games in which each voter may vote "yes", "abstain", or vote "no"), we obtain three influence relations, and show that the strict component of each of them may be cyclical. The cyclicity of these relations contrasts with the transitivity of the unique influence relation of binary voting games. Weak conditions of anonymity are sufficient for each of them to be transitive. We also obtain a necessary and sufficient condition for each of them to be complete. Further, we characterize institutions for which the rankings induced by these relations, and the BanzhafColeman and ShapleyShubik power indices coincide. We argue that the extension of these relations to firms would be useful in efficiently allocating workers to different units of production. Applications to various forms of political and economic organizations are provided.
Item Type:  MPRA Paper 

Original Title:  Political Influence in MultiChoice Institutions: Cyclicity, Anonymity and Transitivity 
Language:  English 
Keywords:  Levelbased influence relations, Multichoice institutions, cyclicity, anonymity, transitivity 
Subjects:  L  Industrial Organization > L0  General D  Microeconomics > D2  Production and Organizations D  Microeconomics > D7  Analysis of Collective DecisionMaking F  International Economics > F5  International Relations, National Security, and International Political Economy A  General Economics and Teaching > A1  General Economics H  Public Economics > H0  General C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory 
Item ID:  18240 
Depositing User:  Roland Pongou 
Date Deposited:  02. Nov 2009 06:06 
Last Modified:  12. Feb 2013 00:15 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/18240 