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A Logic-Based Representation for Coalitional Games with Externalities

A Logic-Based Representation for Coalitional Games with Externalities
A Logic-Based Representation for Coalitional Games with Externalities
We consider the issue of representing coalitional games in multiagent systems that exhibit externalities from coalition formation, i.e., systems in which the gain from forming a coalition may be affected by the formation of other co-existing coalitions. Although externalities play a key role in many real-life situations, very little attention has been given to this issue in the multi-agent system literature, especially with regard to the computational aspects involved. To this end, we propose a new representation which, in the spirit of Ieong and Shoham [9], is based on Boolean expressions. The idea behind our representation is to construct much richer expressions that allow for capturing externalities induced upon coalitions. We show that the new representation is fully expressive, at least as concise as the conventional partition function game representation and, for many games, exponentially more concise. We evaluate the efficiency of our new representation by considering the problem of computing the Extended and Generalized Shapley value, a powerful extension of the conventional Shapley value to games with externalities. We show that by using our new representation, the Extended and Generalized Shapley value, which has not been studied in the computer science literature to date, can be computed in time linear in the size of the input.
125-132
Michalak, Tomasz
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Marciniak, Dorota
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Szamotulski, Marcin
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Rahwan, Talal
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Wooldridge, Michael
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McBurney, Peter
dc60c2e9-5ea9-46cf-915f-05d1e39826f9
Jennings, Nicholas
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Michalak, Tomasz
e24bfee3-bd75-4cca-8220-6f3c2f39dc38
Marciniak, Dorota
d0b32747-f004-41a8-b048-23a666ced9d1
Szamotulski, Marcin
0430f487-9884-4a66-a9d4-b6f3da10c8a9
Rahwan, Talal
476029f3-5484-4747-9f44-f63f3687083c
Wooldridge, Michael
94674704-0392-4b93-83db-18198c2cfa3b
McBurney, Peter
dc60c2e9-5ea9-46cf-915f-05d1e39826f9
Jennings, Nicholas
ab3d94cc-247c-4545-9d1e-65873d6cdb30

Michalak, Tomasz, Marciniak, Dorota, Szamotulski, Marcin, Rahwan, Talal, Wooldridge, Michael, McBurney, Peter and Jennings, Nicholas (2010) A Logic-Based Representation for Coalitional Games with Externalities. Autonomous Agents And MultiAgent Systems (AAMAS 2010), Canada. 14 - 18 May 2010. pp. 125-132 .

Record type: Conference or Workshop Item (Paper)

Abstract

We consider the issue of representing coalitional games in multiagent systems that exhibit externalities from coalition formation, i.e., systems in which the gain from forming a coalition may be affected by the formation of other co-existing coalitions. Although externalities play a key role in many real-life situations, very little attention has been given to this issue in the multi-agent system literature, especially with regard to the computational aspects involved. To this end, we propose a new representation which, in the spirit of Ieong and Shoham [9], is based on Boolean expressions. The idea behind our representation is to construct much richer expressions that allow for capturing externalities induced upon coalitions. We show that the new representation is fully expressive, at least as concise as the conventional partition function game representation and, for many games, exponentially more concise. We evaluate the efficiency of our new representation by considering the problem of computing the Extended and Generalized Shapley value, a powerful extension of the conventional Shapley value to games with externalities. We show that by using our new representation, the Extended and Generalized Shapley value, which has not been studied in the computer science literature to date, can be computed in time linear in the size of the input.

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More information

Published date: May 2010
Additional Information: Event Dates: 14th-18th May
Venue - Dates: Autonomous Agents And MultiAgent Systems (AAMAS 2010), Canada, 2010-05-14 - 2010-05-18
Organisations: Agents, Interactions & Complexity

Identifiers

Local EPrints ID: 268490
URI: http://eprints.soton.ac.uk/id/eprint/268490
PURE UUID: ba502fd8-12d1-4345-8f06-c2395b1f78de

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Date deposited: 10 Feb 2010 10:40
Last modified: 16 Dec 2019 20:41

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Contributors

Author: Tomasz Michalak
Author: Dorota Marciniak
Author: Marcin Szamotulski
Author: Talal Rahwan
Author: Michael Wooldridge
Author: Peter McBurney
Author: Nicholas Jennings

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