COMPARING POWER INDICES

Cesarino Bertini · Josep Freixas · Gianfranco Gambarelli · Izabella Stach

48 citations0/0 files storedInternational Game Theory Review

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Game Theory and Voting Systems Game Theory and Applications Social Power and Status Dynamics

Abstract

This paper aims to give a global vision concerning the state of the art of studies on 13 power indices and to establish which of them are more suitable for describing the real situations which are, from time to time, taken into consideration. In such contexts, different comparisons have been developed in terms of properties, axiomatic grounds and so on. This analysis points out various open problems.

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References

195317. A Value for n-Person Games 1954A Method for Evaluating the Distribution of Power in a Committee System 1960Contributions to the theory of games.1946The Elementary Statistics of Majority Voting 1979Mathematical Properties of the Banzhaf Power Index 1998The Measurement of Voting Power 1969Decision-Rules and Individual Values in Constitutional Choice 1978A new index of power for simplen-person games

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