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A Qualitative Comparison of the Suitability of Four Theorem Provers for Basic Auction Theory

机译:基本拍卖理论的四个定理证明者适用性的定性比较

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Novel auction schemes are constantly being designed. Their design has significant consequences for the allocation of goods and the revenues generated. But how to tell whether a new design has the desired properties, such as efficiency, i.e. allocating goods to those bidders who value them most? We say: by formal, machine-checked proofs. We investigated the suitability of the Isabelle, Theorema, Mizar, and Hets/CASL/ TPTP theorem provers for reproducing a key result of auction theory: Vickrey's 1961 theorem on the properties of second-price auctions. Based on our formalisation experience, taking an auction designer's perspective, we give recommendations on what system to use for formalising auctions, and outline further steps towards a complete auction theory toolbox.
机译:不断在设计新颖的拍卖方案。他们的设计对货物分配和产生的收入有重大影响。但是,如何判断新设计是否具有所需的属性,例如效率,即将商品分配给最看重它们的投标人呢?我们说:通过正式的,经过机器检查的证据。我们调查了Isabelle,Theorema,Mizar和Hets / CASL / TPTP定理证明者是否适合再现拍卖理论的一个关键结果:维克雷(Vickrey)1961年关于第二价格拍卖性质的定理。基于我们的形式化经验,从拍卖设计师的角度出发,我们对使用哪种系统形式化拍卖提出建议,并概述了朝着完整的拍卖理论工具箱迈进的步骤。

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