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Automated analysis of weighted voting games

Fatima, Shaheen, Wooldridge, Michael and Jennings, Nick (2011) Automated analysis of weighted voting games At Proc. 13th Int. Conf. on Electronic Commerce, United Kingdom.

Record type: Conference or Workshop Item (Paper)

Abstract

Weighted voting games (WVGs) are an important mechanism for modeling scenarios where a group of agents must reach agreement on some issue over which they have different preferences. However, for such games to be effective, they must be well designed. Thus, a key concern for a mechanism designer is to structure games so that they have certain desirable properties. In this context, two such properties are PROPER and STRONG. A game is PROPER if for every coalition that is winning, its complement is not. A game is STRONG if for every coalition that is losing, its complement is not. In most cases, a mechanism designer wants games that are both PROPER and STRONG. To this end, we first show that the problem of determining whether a game is PROPER or STRONG is, in general, NP-hard. Then we determine those conditions (that can be evaluated in polynomial time) under which a given WVG is PROPER and those under which it is STRONG. Finally, for the general NP-hard case, we discuss two different approaches for overcoming the complexity: a deterministic approximation scheme and a randomized approximation method.

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More information

Published date: 2011
Venue - Dates: Proc. 13th Int. Conf. on Electronic Commerce, United Kingdom, 2011-01-01
Organisations: Agents, Interactions & Complexity

Identifiers

Local EPrints ID: 272742
URI: http://eprints.soton.ac.uk/id/eprint/272742
PURE UUID: a3432fda-3202-4d1c-adfe-b48199d443ea

Catalogue record

Date deposited: 02 Sep 2011 12:43
Last modified: 18 Jul 2017 06:20

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Contributors

Author: Shaheen Fatima
Author: Michael Wooldridge
Author: Nick Jennings

University divisions

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