Multi-agent decision problems, in which independent agents have to agree on a joint plan of action or allocation of resources, are central to AI. In such situations, agents' individual preferences over available alternatives may vary, and they may try to reconcile these differences by voting. Based on the fact that agents may have incentives to vote strategically and misreport their real preferences, a number of recent papers have explored different possibilities for avoiding or eliminating such manipulations. In contrast to most prior work, this paper focuses on convergence of strategic behavior to a decision from which no voter will want to deviate. We consider scenarios where voters cannot coordinate their actions, but are allowed to change their vote after observing the current outcome. We focus on the Plurality voting rule, and study the conditions under which this iterative game is guaranteed to converge to a Nash equilibrium (i.e., to a decision that is stable against further unilateral manipulations). We show for the first time how convergence depends on the exact attributes of the game, such as the tie-breaking scheme, and on assumptions regarding agents' weights and strategies.
|Original language||American English|
|Title of host publication||Proceedings of the 24th AAAI Conference on Artificial Intelligence, AAAI 2010|
|Number of pages||6|
|State||Published - 15 Jul 2010|
|Event||24th AAAI Conference on Artificial Intelligence, AAAI 2010 - Atlanta, United States|
Duration: 11 Jul 2010 → 15 Jul 2010
|Name||Proceedings of the 24th AAAI Conference on Artificial Intelligence, AAAI 2010|
|Conference||24th AAAI Conference on Artificial Intelligence, AAAI 2010|
|Period||11/07/10 → 15/07/10|
Bibliographical noteFunding Information:
The authors thank Michael Zuckerman and Ilan Nehama for helpful discussions. R. Meir and J. S. Rosenschein are partially supported by Israel Science Foundation Grant #898/05. M. Polukarov and N. R. Jennings are supported by the ALADDIN project, jointly funded by a BAE Systems and EPSRC strategic partnership (EP/C548051/1).
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