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An approximation method for power indices for voting games

Fatima, S. S, Wooldridge, M and Jennings, Nick (2009) An approximation method for power indices for voting games At Proc 2nd Int Workshop on Agent-Based Complex Automated Negotiations, Hungary. , pp. 72-86.

Record type: Conference or Workshop Item (Paper)

Abstract

The Shapley value and Banzhaf index are two well known indices for measuring the power a player has in a voting game. However, the problem of computing these indices is computationally hard. To overcome this problem, we analyze approximation methods for computing these indices. Although these methods have polynomial time complexity, finding an approximate Shapley value using them is easier than finding an approximate Banzhaf index. We also find the absolute error for the methods and show that this error for the Shapley value is lower than that for the Banzhaf index.

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Published date: 2009
Venue - Dates: Proc 2nd Int Workshop on Agent-Based Complex Automated Negotiations, Hungary, 2009-01-01
Organisations: Agents, Interactions & Complexity

Identifiers

Local EPrints ID: 267193
URI: http://eprints.soton.ac.uk/id/eprint/267193
PURE UUID: beb5a0b9-3207-4e4c-9ad4-8226fb07884e

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Date deposited: 18 Mar 2009 08:28
Last modified: 18 Jul 2017 07:07

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Contributors

Author: S. S Fatima
Author: M Wooldridge
Author: Nick Jennings

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