Surplus dissipating equilibria in the dollar auction

Abstract

We analyze symmetric subgame perfect equilibria of the dollar auction in its original format, without the modifications that the literature adopts to rule out overbidding in the game. The game has a continuum of subgame perfect equilibria, generating expected revenues that range from zero to the full value of the contested prize. Such multiplicity of equilibria suggests that the overbidding pattern often observed in experiments of this game might be symptoms of coordination failure among bidders, consistent with the rational choice paradigm with no need for behavioral or psychological explanations. The analysis is shown robust to extensions considering: (i) alternative tie-breaking rule that allows for multiple frontrunners, and (ii) preemptive bidding by the frontrunner.