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The Basic Concepts On Distribution of Decision Power Between The Players and Manipulation in Weighted Voting Games

Abstract

Zdravko Dimitrov Slavov

It is known that voting is a widely used method in social choice theory. In the present paper we consider some
concepts of distribution of voting powers between the player and the process of manipulation in weighted
voting games. The aim is to show some basic problems in social choice theory by studying the decision
powers of players and the three processes of manipulation in weighted voting games: by merging of two
players into a single player, by players splitting into a number of smaller units, and by annexation of a part or
all of the voting weights of another player.<

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