Detectability, Duality, and Surplus Extraction
Luca Rigotti ()
No 6903, Working Paper from Department of Economics, University of Pittsburgh
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 Cremer and McLean (1985, 1988), using geometric features of the set of agentsâ€™ 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 agentsâ€™ beliefs or surplus, even if the designer offers an infinite menu of contracts. The second argument uses duality and applies for 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.
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Working Paper: Detectability, Duality, and Surplus Extraction (2021)
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