A lower bound on computational complexity given by revelation mechanisms (*)

Kenneth R. Mount and Stanley Reiter

Economic Theory, 1996, vol. 7, issue 2, 237-266

Abstract: This paper establishes a lower bound on the computational complexity of smooth functions between smooth manifolds. It generalizes one for finite (Boolean) functions obtained (by Arbib and Spira [2]) by counting variables. Instead of a counting procedure, which cannot be used in the infinite case, the dimension of the message space of a certain type of revelation mechanism provides the bound. It also provides an intrinsic measure of the number of variables on which the function depends. This measure also gives a lower bound on computational costs associated with realizing or implementing the function by a decentralized mechanism, or by a game form.

Date: 1996
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Journal Article: A Lower Bound on Computational Complexity Given by Revelation Mechanisms (1996)
Working Paper: A Lower Bound on Computational Complexity Given by Revelation Mechanisms (1994)
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