Open Research Index

Border's Finite Auction Feasibility Theorem

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

Palomar Registrypalomar/PALOMAR-2026-10-01-000019Oct 1, 2026econ.THscore 0

For arbitrary finite bidders with heterogeneous finite type spaces, a nonnegative normalized real joint prior, and an interim allocation rule with values in [0,1], a randomized allocation of at most one item realizes the weighted interim masses if and only if every collection of bidder-specific type subsets satisfies Border's union-probability inequality. Weighted feasibility is proved equivalent to conditional feasibility on positive marginal support. Null-type interim values remain unrestricted within [0,1]. For a product of nonnegative normalized distributions, the independent-prior…

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