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Monotonicity and Implementability

Itai Ashlagi, Mark Braverman, Avinatan Hassidim, Dov Monderer

Econometrica · 2010 · Volume 78 · Issue 5

DOI: 10.3982/ECTA8882

Abstract

Consider an environment with a finite number of alternatives, and agents with private values and quasilinear utility functions. A domain of valuation functions for an agent is a monotonicity domain if every finite-valued monotone randomized allocation rule defined on it is implementable in dominant strategies. We fully characterize the set of all monotonicity domains.

Keywords

Monotone, cyclic monotonicity, implementable, dominant strategies

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