有限賽局特徵函數的研究

A study of the characteristic function of a finite game

江依玲(Yi-Ling Jiang)

指導教授 ： 李是男

中原大學/理學院/應用數學研究所/碩士(2011年)

https://doi.org/10.6840/CYCU.2011.00206

摘要

本文旨在對有限非合作n人賽局之特徵函數以及特徵函數型合作n人賽局作一嚴謹的討論. 我們證明了有限非合作n人賽局之特徵函數定義的完善性並輔以例子作說明. 我們也簡短討論有限非合作n人賽局以及有限合作n人賽局的等策性.

關鍵字

有限非合作n人賽局 ； 超加性 ； 等策 ； 特徵函數型合作n人賽局 ； 特徵函數

並列摘要

The purpose of this thesis is to study the characteristic functions of finite noncooperative n-person games and the cooperative n-person games in characteristic function form in a rigours discussion. The well-definedness of the characteristic function of a given finite noncooperative n-person game is proved and is explained by an auxiliary example. The strategic equivalence of the finite noncooperative n-person games and the finite cooperative n-person games in characteristic function form is discussed briefly.

並列關鍵字

supperadditive property ； cooperative n-person game in characteristic function form ； strategic equivalence ； characteristic functions ； finite noncooperative n-person game

參考文獻

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