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Truthful Revelation Mechanisms for Simultaneous Common Agency Games

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Author Info
Giacomo Calzolari
Alessandro Pavan

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Abstract

In games in which multiple principals contract simultaneously and non-cooperatively with the same agent, standard direct revelation mechanisms in which the agent reports his “type”(i.e. his exogenous private information) have been proven inadequate to characterize the entire set of equilibrium outcomes. This paper introduces a more general class of revelation mechanisms in which the agent reports also the contractual decisions he is inducing with the principals. We rst show that such a class has the same nice properties as the class of all unrestricted menus: (i) for any equilibrium of any indirect game with arbitrary communication space for the principals, there exists a truthful equilibrium in the game in which the principals are restricted to o¤er revelation mechanisms that sustains the same outcomes; (ii) any truthful equilibrium is robust in the sense that it remains an equilibrium in any game in which the principals’strategy space is enlarged. We next show how revelation mechanisms can be put to work in applications such as menu auctions, moral hazard settings, and competition in non-linear tari¤s to identify necessary and su¢ cient conditions for the sustainability of outcomes as common agency equilibria.

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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1458.

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Date of creation: Jul 2007
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Handle: RePEc:nwu:cmsems:1458

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Related research
Keywords: mechanism design; contracts; Revelation Principle.;

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Find related papers by JEL classification:
D89 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Other
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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  1. Elena Vigna, 2009. "Mean-variance inefficiency of CRRA and CARA utility functions for portfolio selection in defined contribution pension schemes," Carlo Alberto Notebooks 108, Collegio Carlo Alberto, revised 2009. [Downloadable!]
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