On representing coalitional games with externalities

Michalak, Tomasz, Rahwan, Talal, Sroka, Jacek, Dowell, Andrew, Wooldridge, Michael, McBurney, Peter and Jennings, Nicholas (2009) On representing coalitional games with externalities. In, 10th ACM Conference on Electronic Commerce (EC'09), Stanford, USA, 06 - 10 Jul 2009. New York, USA, Association for Computing Machinery10pp.


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We consider the issue of representing coalitional games in multiagent systems with externalities (i.e., in systems where the performance of one coalition may be affected by other co-existing coalitions). In addition to the conventional partition function game representation (PFG), we propose a number of new representations based on a new notion of externalities. In contrast to conventional game theory, our new concept is not related to the process by which the coalitions are formed, but rather to the effect that each coalition may have on the entire system and vice versa. We show that the new representations are fully expressive and, for many classes of games, more concise than the conventional PFG. Building upon these new representations, we propose a number of approaches to solve the coalition structure generation problem in systems with externalities. We show that, if externalities are characterised by various degrees of regularity, the new representations allow us to adapt coalition structure generation algorithms that were originally designed for domains with no externalities, so that they can be used when externalities are present. Finally, building upon [16] and [9], we present a unified method to solve the coalition structure generation problem in any system, with or without externalities, provided sufficient information is available.

Item Type: Conference or Workshop Item (Paper)
Related URLs:
Subjects: T Technology > T Technology (General)
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions : University Structure - Pre August 2011 > School of Electronics and Computer Science
ePrint ID: 66133
Accepted Date and Publication Date:
July 2009Published
February 2009Submitted
Date Deposited: 05 May 2009
Last Modified: 31 Mar 2016 12:52
URI: http://eprints.soton.ac.uk/id/eprint/66133

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