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The Optimality of a Simple Market Mechanism

Mark A. Satterthwaite, Steven R. Williams

Econometrica · 2002 · Volume 70 · Issue 5

DOI: 10.1111/1468-0262.00355

Abstract

Strategic behavior in a finite market can cause inefficiency in the allocation, and market mechanisms differ in how successfully they limit this inefficiency. A method for ranking algorithms in computer science is adapted here to rank market mechanisms according to how quickly inefficiency diminishes as the size of the market increases. It is shown that trade at a single market–clearing price in thek–double auction isworst–case asymptotic optimalamong all plausible mechanisms: evaluating mechanisms in their least favorable trading environments for each possible size of the market, thek–double auction is shown to force the worst–case inefficiency to zero at the fastest possible rate.

Keywords

market mechanism, double auction, rate of convergence

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