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The Exact Approximation Ratio of the Optimal Fixed-Price Mechanism in Bilateral Trade

Jiang, Tao et al.
arXiv (All) · Papers
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data-structures-and-algorithms
Prior work placed the worst-case welfare ratio of the optimal fixed-price mechanism for bilateral trade in the interval [0.7292,0.73805]. We determine the ratio exactly as \[ α_{\mathrm{FP}}=0.7380243357\ldots, \] characterized by the unique root of an explicit one-dimensional equation. The proof
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