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Continuous binary implementation congruence and sharp finite welfare frontier

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

Palomar Registrypalomar/PALOMAR-2026-10-03-000002Oct 3, 2026cs.GTscore 0

A general two-alternative implementation characterization on own-type domains containing an open ball: affine private and social valuation differences, nonzero social linear form, one active welfare cut, and a fixed independent opposing probability law force nonnegative coefficient alignment. Arbitrary measurable efficient lotteries have integrable Bayesian incentive compatible transfers exactly under alignment, with explicit ex-post truthful-opponent transfers and a measurable efficient allocation witness. Arbitrary distributions including atoms are covered. A genuine independent…

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