We prove that the {\sf PoA} of {\sf First Price Auctions} is $1 - 1/e^2 \approx 0.8647$, closing the gap between the best known bounds $[0.7430,\, 0.8689]$.

翻译：我们证明了第一价格拍卖的{\sf PoA}（价格无政府状态）为 $1 - 1/e^2 \approx 0.8647$，从而闭合了已知最佳界 $[0.7430，\, 0.8689]$ 之间的差距。