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Operations Research Letters· 2026Q2

A geometric analysis of gains from trade

Jason D. Hartline, Kangning Wang

Short summary

A geometric proof shows the random proposer mechanism is a 4-approximation to first-best gains from trade in bilateral exchange.

AI-generated from the title and abstract; the full text is not read.

Key points

  • The random proposer mechanism is proven to be a 4-approximation to first-best gains from trade.
  • A geometric analysis is used to establish this approximation guarantee.
  • The geometric approach is refined to recover a known 3.147-approximation.

AI-generated from the title and abstract; the full text is not read.

Abstract

We provide a geometric proof that the random proposer mechanism is a 4-approximation to the first-best gains from trade in bilateral exchange. We then refine this geometric analysis to recover the 3.147-approximation guarantee previously established by Fei.

The authors' abstract, as published at the source. Operations Research Letters, 2026 · DOI ↗

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Field: Economics and Econometrics

Economics and EconometricsEconomics, Econometrics and Finance