Efficient Design with Interdependent Valuations
We study efficient, Bayes-Nash incentive compatible mechanisms in a general social choice setting that allows for informationally interdependent valuations and for allocative externalities. We show that such mechanisms exist only if a congruence condition relating private and social rates of information substitution is satisfied. If signals are multi-dimensional, the congruence condition is determined by a complex integrability constraint, and it can hold only in non-generic cases such as the private value case or the symmetric case. If signals are one-dimensional, the congruence condition reduces to a monotonicity constraint and it can be generically satisfied. We apply the results to the study of multi-object auctions, and we discuss why such auctions cannot be reduced to one-dimensional models without loss of generality.
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Web page: http://www.kellogg.northwestern.edu/research/math/
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- Jehiel, Philippe & Moldovanu, Benny & Stacchetti, Ennio, 1996.
"How (Not) to Sell Nuclear Weapons,"
American Economic Review,
American Economic Association, vol. 86(4), pages 814-29, September.
- Gresik, Thomas A., 1991. "Ex ante incentive efficient trading mechanisms without the private valuation restriction," Journal of Economic Theory, Elsevier, vol. 55(1), pages 41-63, October.
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