The University of Southampton
University of Southampton Institutional Repository

A Logic-Based Representation for Coalitional Games with Externalities

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 At Autonomous Agents And MultiAgent Systems (AAMAS 2010), Canada. 14 - 18 May 2010. , pp. 125-132.

Record type: Conference or Workshop Item (Paper)


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.

PDF EGSV_AAMAS10.pdf - Version of Record
Download (1MB)

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


Local EPrints ID: 268490
PURE UUID: ba502fd8-12d1-4345-8f06-c2395b1f78de

Catalogue record

Date deposited: 10 Feb 2010 10:40
Last modified: 18 Jul 2017 06:53

Export record


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

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.