Econometrica: Sep 2010, Volume 78, Issue 5

Monotonicity and Implementability

https://doi.org/10.3982/ECTA8882
p. 1749-1772

Itai Ashlagi, Mark Braverman, Avinatan Hassidim, Dov Monderer

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.
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