Social Choice Theory in HOL

被引:3
|
作者
Nipkow, Tobias [1 ]
机构
[1] Tech Univ Munich, Inst Informat, Munich, Germany
关键词
Social choice theory; Arrow's theorem; Gibbard-Satterthwaite theorem; Higher-order logic; Theorem proving; ARROWS THEOREM; WELFARE;
D O I
10.1007/s10817-009-9147-4
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This article presents formalizations in higher-order logic of two proofs of Arrow's impossibility theorem due to Geanakoplos. The Gibbard-Satterthwaite theorem is derived as a corollary. Lacunae found in the literature are discussed.
引用
收藏
页码:289 / 304
页数:16
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