Finite Bayesian-to-Dominant-Strategy Equivalence

Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz

Palomar Registrypalomar/PALOMAR-2026-10-02-000010Oct 2, 2026econ.THscore 0

Finite Gershkov–Goeree–Kushnir–Moldovanu–Shi (2013) Theorem 2 for arbitrary finite agents and alternatives, heterogeneous ordered finite scalar type supports, arbitrary independent positive support masses, and linear private values with nonnegative slopes and arbitrary constants. The library constructs a feasible dominant-strategy mechanism preserving every support type's interim expected utility and ex ante social surplus. Weighted monotone lifting is proved by a compact feasible quadratic minimizer and an improving perturbation. Adjacent transfer bounds imply full-report IC by telescoping.…

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