L S Penrose's Limit Theorem: Tests by Simulation

• Main Authors: CHANG, Pao-Li, CHUA, Vincent, MACHOVER, Moshe
• Format: text
• Language: English
• Published: Institutional Knowledge at Singapore Management University 2004
• Subjects: limit theorems; majority games; simulation; weighted votinggames; Econometrics; Economic Theory
• Online Access: https://ink.library.smu.edu.sg/soe_research/827; https://ink.library.smu.edu.sg/context/soe_research/article/1826/viewcontent/ccm.pdf
• Institution: Singapore Management University

LS Penrose’s limit theorem (PLT) – which is implicit in Penrose [5, p. 72] and for which he gave no rigorous proof – says that, in simple weighted voting games, if the number of voters increases indefinitely while existing voters retain their weights and the relative quota is pegged, then – under ce...