Dynamic Mechanisms with Verification
Markos Epitropou () and
Rakesh Vohra ()
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Markos Epitropou: Department of Electrical and Systems Engineering, University of Pennsylvania
Rakesh Vohra: Department of Economics, University of Pennsylvania
PIER Working Paper Archive from Penn Institute for Economic Research, Department of Economics, University of Pennsylvania
Abstract:
We consider a principal who allocates an indivisible object among a finite number of agents who arrive on-line, each of whom prefers to have the object than not. Each agent has access to private information about the principal's payoff if he receives the object. The decision to allocate the object to an agent must be made upon arrival of an agent and is irreversible. There are no monetary transfers but he principal can inspect agents' reports at a cost and punish them. A novelty of this paper is a reformulation of this dynamic problem as a compact linear program. Using the formulation we characterize the form of the optimal mechanism and reduce the dynamic version of the inspection problem with identical distributions to an instance of the secretary problem with one fewer secretary and a modified value distribution. This reduction also allows us to derive a prophet inequality for the dynamic version of the inspection problem.
Keywords: Dynamic mechanism design; stopping problems; costly verification (search for similar items in EconPapers)
JEL-codes: C61 D44 D82 (search for similar items in EconPapers)
Pages: 12 pages
Date: 2019-02-18
New Economics Papers: this item is included in nep-des, nep-gth and nep-mic
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Citations: View citations in EconPapers (1)
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Persistent link: https://EconPapers.repec.org/RePEc:pen:papers:19-002
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