Detectability, duality, and surplus extraction

Giuseppe Lopomo, Luca Rigotti and Chris Shannon

Journal of Economic Theory, 2022, vol. 204, issue C

Abstract: We study surplus extraction in the general environment of McAfee and Reny (1992), and provide two alternative proofs of their main theorem. The first is an analogue of the classic argument of Crémer and McLean (1985, 1988), using geometric features of the set of agents' beliefs to construct a menu of contracts extracting the desired surplus. This argument, which requires a finite state space, also leads to a counterexample showing that full extraction is not possible without further significant conditions on agents' beliefs or surplus, even if the designer offers an infinite menu of contracts. The second argument uses duality and applies with an infinite state space, thus yielding the general result of McAfee and Reny (1992). Both arguments suggest methods for studying surplus extraction in settings beyond the standard model, in which the designer or agents might have objectives other than risk neutral expected value maximization.

Keywords: Surplus extraction; Virtual extraction; Duality (search for similar items in EconPapers)
JEL-codes: D82 D86 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Related works:
Working Paper: Detectability, Duality, and Surplus Extraction (2021)
Working Paper: Detectability, Duality, and Surplus Extraction (2020)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:jetheo:v:204:y:2022:i:c:s0022053122000552

DOI: 10.1016/j.jet.2022.105465

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