2006
DOI: 10.1111/j.1468-0262.2006.00675.x
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The Limits of ex post Implementation

Abstract: The sensitivity of Bayesian implementation to agents' beliefs about others suggests the use of more robust notions of implementation such as ex post implementation, which requires that each agent's strategy be optimal for every possible realization of the types of other agents. We show that the only deterministic social choice functions that are ex post implementable in generic mechanism design frameworks with multidimensional signals, interdependent valuations, and transferable utilities are constant function… Show more

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Cited by 137 publications
(141 citation statements)
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“…1 Some readers may interpret the term 'ex-post' differently, since the term is conventionally used in the context of single stage mechanisms, i.e., where the decisions of allocation and transfer are decided simultaneously (see, e.g., Jehiel et al (2006)) and it denotes that truthful reporting is optimal for every realization of the other agents' types even if the agent knew the other agents' types. In the context of two-stage mechanisms that we consider here, we feel that this equilibrium of full observability can be better called as 'subgame perfect' equilibrium.…”
Section: Background and Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…1 Some readers may interpret the term 'ex-post' differently, since the term is conventionally used in the context of single stage mechanisms, i.e., where the decisions of allocation and transfer are decided simultaneously (see, e.g., Jehiel et al (2006)) and it denotes that truthful reporting is optimal for every realization of the other agents' types even if the agent knew the other agents' types. In the context of two-stage mechanisms that we consider here, we feel that this equilibrium of full observability can be better called as 'subgame perfect' equilibrium.…”
Section: Background and Modelmentioning
confidence: 99%
“…Even in a static setting, if the allocation and payment are decided simultaneously under the interdependent valuation setting, efficiency and Bayesian incentive compatibility (and therefore ex-post incentive compatibility) cannot be satisfied together (Jehiel and Moldovanu, 2001). In a later paper, Jehiel et al (2006) show that the only deterministic social choice functions that are ex-post implementable in generic mechanism design frameworks with multi-dimensional signals, interdependent valuations, and transferable utilities are constant functions. In view of these impossibility results, we are compelled to split the decisions of allocation and payment in two separate stages.…”
Section: Background and Modelmentioning
confidence: 99%
“…al. [5] show that on a rich domain allowing for externalities/public goods as well as interdependent values, the only incentive compatible allocations are those precluding change.…”
Section: Concluding Commentsmentioning
confidence: 99%
“…More recent work deals with ex post equilibria in multidimensional signal settings. Jehiel et al (2006) show that the only ex post implementable social choice functions in a generic class of environments are constant functions, whereas Bergemann and Morris (2008) provide conditions for full implementation in ex post equilibrium if the genericity requirement fails.…”
Section: Introductionmentioning
confidence: 99%