English

Optimal Auction Design under Costly Learning

Theoretical Economics 2025-12-09 v1 Computer Science and Game Theory Information Theory math.IT

Abstract

We study optimal auction design in an independent private values environment where bidders can endogenously -- but at a cost -- improve information about their own valuations. The optimal mechanism is two-stage: at stage-1 bidders register an information acquisition plan and pay a transfer; at stage-2 they bid, and allocation and payments are determined. We show that the revenue-optimal stage-2 rule is the Vickrey--Clarke--Groves (VCG) mechanism, while stage-1 transfers implement the optimal screening of types and absorb information rents consistent with incentive compatibility and participation. By committing to VCG ex post, the pre-auction information game becomes a potential game, so equilibrium information choices maximize expected welfare; the stage-1 fee schedule then transfers an optimal amount of payoff without conditioning on unverifiable cost scales. The design is robust to asymmetric primitives and accommodates a wide range of information technologies, providing a simple implementation that unifies efficiency and optimal revenue in environments with endogenous information acquisition.

Keywords

Cite

@article{arxiv.2512.07798,
  title  = {Optimal Auction Design under Costly Learning},
  author = {Kemal Ozbek},
  journal= {arXiv preprint arXiv:2512.07798},
  year   = {2025}
}
R2 v1 2026-07-01T08:15:20.726Z