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Are We There Yet? Mechanism Design Beyond Equilibrium

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Social Design

Part of the book series: Studies in Economic Design ((DESI))

Abstract

There are mechanism design problems for which an exclusive focus on equilibrium can be seriously misleading. If outcomes will be implemented whether or not an equilibrium has been achieved, then the desiderata by which we evaluate mechanisms in these situations need to include more than merely the properties of their equilibria (are the equilibria Pareto optimal; are they in dominant strategies; are they stable; etc.). For the classical public-goods problem, we describe some of our research in which (1) we showed, in an experiment, that several mechanisms with excellent equilibrium properties exhibited serious out-of-equilibrium failures; (2) by emulating the Walrasian exchange model, we designed a public-good mechanism to be transparent and to have reasonable properties even when out of equilibrium; and (3) we conducted an experiment in which this new mechanism performed better than previous mechanisms.

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Notes

  1. 1.

    For a more general cost function C(q), c is replaced by \(C(q)/\min \{q_{1},\ldots ,q_{N}\}\) in the equations defining the outcome function. Some of the properties described below do not hold for a nonlinear cost function.

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Correspondence to Mark Walker .

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Van Essen, M., Walker, M. (2019). Are We There Yet? Mechanism Design Beyond Equilibrium. In: Trockel, W. (eds) Social Design. Studies in Economic Design. Springer, Cham. https://doi.org/10.1007/978-3-319-93809-7_12

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