STRATEGIC MANIPULATION IN COMMITTEES USING THE PLURALITY RULE - ALTERNATIVE CONCEPTS AND FREQUENCY CALCULATIONS

This paper suggests an evaluation of the plurality rule according to h ow much it can be manipulated by individuals. We analyze strategic vot ing with reference not only to the usual notion of Nash equilibrium bu t also to some weaknesses of this notion, depending on the assumptions about how the individual agents choose their strategies. We provide t wo types of results for each concept of equilibrium: First, we give ne cessary and sufficient conditions for a profile to be an equilibrium w hen the plurality rule is used; and second, we present formulas giving the exact frequencies of unstable situations in the three-alternative case.