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Monotonicity and Implementability

by Ashlagi, Itai , Braverman, Mark , Monderer, Dov , Hassidim, Avinatan

in Agency theory / Allokation / Applications / Biology, psychology, social sciences / cyclic monotonicity / dominant strategies / Dominant strategy / Exact sciences and technology / Game theory / implementable / Insurance, economics, finance / Mathematical functions / Mathematical monotonicity / Mathematical vectors / Mathematics / Mechanism design / Microeconomics / Monotone / Monotonic functions / NOTES AND COMMENTS / Nutzenfunktion / Polygons / Principal-agent theory / Probability and statistics / Probability theory and stochastic processes / Same sex marriage / Sciences and techniques of general use / Special processes (renewal theory, markov renewal processes, semi-markov processes, statistical mechanics type models, applications) / Statistics / Strategic behaviour / Studies / Theorie / Triangles / Utility functions / Valuation / Vertices

2010

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Monotonicity and Implementability

by Ashlagi, Itai , Braverman, Mark , Monderer, Dov , Hassidim, Avinatan

2010

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Monotonicity and Implementability

by Ashlagi, Itai , Braverman, Mark , Monderer, Dov , Hassidim, Avinatan

2010

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Journal Article

Monotonicity and Implementability

Ashlagi, Itai,

Braverman, Mark,

Monderer, Dov,

Hassidim, Avinatan

2010

Overview

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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Publisher

Blackwell Publishing Ltd,Econometric Society,Wiley-Blackwell

Subject

Agency theory

/ Allokation

/ Applications

/ Biology, psychology, social sciences

/ cyclic monotonicity

/ dominant strategies

/ Dominant strategy