2009 | OriginalPaper | Buchkapitel
Monotonicity in Mechanism Design
verfasst von : Dov Monderer
Erschienen in: Algorithmic Game Theory
Verlag: Springer Berlin Heidelberg
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Consider a model with a finite number of alternatives, and buyers with private values and quasi-linear utility functions. A domain of valuations for a buyer is a monotonicity domain if every finite-valued monotone randomized allocation rule defined on it is implementable, in the sense that there exists a randomized truth-telling direct mechanism, which implements this allocation rule. The domain is a weak monotonicity domain if every deterministic monotone allocation rule defined on it is implementable. I discuss the literature on (weak) monotonicity domain, which includes the early mathematical literature as well as the recent CS/Economics literature.