Before revision:  We show that in a partnership dissolution environment with complete information, two popular auctions that are essentially equivalent for the Nash equilibrium prediction, can be expected to differ in fundamental ways when they are operated. Besides the direct policy implications, two general consequences follow. First, a mechanism designer may not be constrained by typical invariance properties. Second, a mechanism designer who does not account for the empirical plausibility of equilibria may inadvertently design implicitly biased mechanisms .
After revision:  We show that a distribution of play is an empirical equilibrium if and only if it is the limit of regular Quantal Response Equilibria associated with quantal responses that are utility maximizing in the limit. This result provides a direct link between the practice of experimental economics and our refinement .