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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2009 Issue 3, Pages 152–159 (Mi at439)

This article is cited in 4 papers

Control in Social Economic Systems

On calculation of the power indices with allowance for the agent preferences

D. A. Shvarts

State University, Higher School of Economics, Moscow, Russia

Abstract: In the general case, complexity of the algorithm to calculate the power indices grows exponentially with the number of voting agents. Yet the volume of calculations may be reduced dramatically if many coalitions have equal numbers of votes. The well-known algorithm for calculation of the Banzhaf and Shapley–Shubik indices was generalized, which enables fast calculation of the power indices where entry of the voting agent into a coalition depends on its preferences over the set of the rest of agents.

PACS: 07.05.Mh

Presented by the member of Editorial Board: F. T. Aleskerov

Received: 05.08.2008


 English version:
Automation and Remote Control, 2009, 70:3, 484–490

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