The Structure of Coalitional Power under Probabilistic Voting Procedures

Reference:

Nandeibam, S., 2002. The Structure of Coalitional Power under Probabilistic Voting Procedures. Social Choice and Welfare, 19, 685--705.

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Abstract

We consider probabilistic voting procedures which map each feasible set of alternatives and each utility profile to a social choice lottery over the feasible set. It is shown that if we impose: (i) a probabilistic collective rationality condition known as regularity; (ii) probabilistic counterpart of Arrow's independence of irrelevant alternatives and citizens' sovereignty; (iii) a probabilistic positive association condition called monotonicity; then the coalitional power structure under a probabilistic voting procedure is characterized by weak random dictatorship

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