SAT-Based Automated Mechanism Design for False-Name-Proof Facility Location

SAT-Based Automated Mechanism Design for False-Name-Proof Facility Location
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基于SAT的防伪设施定位自动化机制设计

DOI:
10.1007/978-3-030-33792-6_20
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发表时间:
2019
期刊:
Proceedings of PRIMA-2019
影响因子:
--
通讯作者:
Yokoo Makoto
Yokoo Makoto
中科院分区:
--
文献类型:
--
作者:
Okada Nodoka;Todo Taiki;Yokoo Makoto

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在机制设计的文献中,市场机制是由专业人士根据他们的经验开发的。自动化机制设计(AMD)的概念,由Sandholm(2002)提出,是一个突破性的计算机辅助框架,以开发市场机制。在本文中,我们应用一个非常新的AMD方法的基础上布尔可满足性(SAT)的机制设计的假名证明设施的位置。我们首先提供了一个一般的理论特征的假名证明机制,这使得一个相当紧凑的表示目标机制。我们的方法成功地再现了几个已知的结果,在文献中的虚假名称证明设施的位置在离散结构。此外,一些未知的机制,发现在2 × 2的网格上定位一个公共产品,并揭示了一个不可能的结果,定位一个公共坏,与一个额外的温和的假设,在2 × 3的网格。最后,我们证明了我们的方法的可扩展性,通过提供一个新的假名证明机制,稍微修改的问题,定位一个公共产品。
In the literature of mechanism design, market mechanisms have been developed by professionals based on their experience. The concept of automated mechanism design (AMD), initiated by Sandholm (2002), is a ground-breaking computer-aided framework to develop market mechanisms. In this paper, we apply a very recent AMD approach based on Boolean Satisfiability (SAT) to the mechanism design of false-name-proof facility location. We first provide a general theoretical characteristic of false-name-proof mechanisms, which enables a quite compact representation of target mechanisms. Our approach successfully reproduces several known results in the literature on false-name-proof facility locations over discrete structures. Furthermore, some unknown mechanisms are discovered for locating a public good on a 2-by-2 grid, and an impossibility result is revealed for locating a public bad, with an additional mild assumption, on a 2-by-3 grid. Finally, we demonstrate the extendability of our approach, by providing a new false-name-proof mechanism for a slightly modified problem of locating a public good.
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