Truth-Telling Dominating Strategy: Impossibilities of Shill-Proofness
35 Pages Posted: 21 Apr 2020 Last revised: 15 Jun 2020
Date Written: February 12, 2020
A strategy is truth-telling dominating (TTD) if it weakly (strictly, resp.) dominates truth-telling for all (some, resp.) strategy profiles of others. A strategy is iteratively TTD (i-TTD) if any iterate is TTD and payoff improving. We show that any mechanism only with undominated equilibria is not i-TTD manipulable. We also show that any TTD shill-bidding strategy is i-TTD. The Vickrey-Clarke-Groves (VCG) mechanism is not shill-proof, but neither the existence nor the nonexistence of TTD strategy had previously been known. We show both that VCG is TTD manipulable when externalities exist, but not TTD manipulable in package auctions without externalities.
Keywords: obvious strategy-proofness, manipulability, VCG, shill bidding, package auction, externalities, referral, referrer's dilemma
JEL Classification: C78, D44, D62, D82
Suggested Citation: Suggested Citation