Complexity of Mechanism Design

dc.creatorConitzer, Vincent
dc.creatorSandholm, Tuomas
dc.date2002-05-28
dc.date.accessioned2026-07-07T03:18:28Z
dc.date.available2026-07-07T03:18:28Z
dc.descriptionThe aggregation of conflicting preferences is a central problem in multiagent systems. The key difficulty is that the agents may report their preferences insincerely. Mechanism design is the art of designing the rules of the game so that the agents are motivated to report their preferences truthfully and a (socially) desirable outcome is chosen. We propose an approach where a mechanism is automatically created for the preference aggregation setting at hand. This has several advantages, but the downside is that the mechanism design optimization problem needs to be solved anew each time. Focusing on settings where side payments are not possible, we show that the mechanism design problem is NP-complete for deterministic mechanisms. This holds both for dominant-strategy implementation and for Bayes-Nash implementation. We then show that if we allow randomized mechanisms, the mechanism design problem becomes tractable. In other words, the coordinator can tackle the computational complexity introduced by its uncertainty about the agents' preferences by making the agents face additional uncertainty. This comes at no loss, and in some cases at a gain, in the (social) objective.
dc.identifierhttps://arxiv.org/abs/cs/0205075
dc.identifierhttp://arxiv.org/abs/cs/0205075
dc.identifierProceedings of the 18th Annual Conference on Uncertainty in Artificial Intelligence (UAI-02), Edmonton, Canada, 2002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/31125
dc.subjectComputer Science and Game Theory
dc.subjectComputational Complexity
dc.subjectMultiagent Systems
dc.subjectI.2.11
dc.titleComplexity of Mechanism Design
dc.typetext

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