Game Theory Explained: A Mathematical Introduction with Optimization (1版)

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【簡介】 This book provides an introduction to the mathematical theory of games using both classical methods and optimization theory. Employing a theorem-proof-example approach, the book emphasizes not only results in game theory, but also how to prove them.Part 1 of the book focuses on classical results in games, beginning with an introduction to probability theory by studying casino games and ending with Nash’s proof of the existence of mixed strategy equilibria in general sum games. On the way, utility theory, game trees and the minimax theorem are covered with several examples. Part 2 introduces optimization theory and the Karush-Kuhn-Tucker conditions and illustrates how games can be rephrased as optimization problems, thus allowing Nash equilibria to be computed. Part 3 focuses on cooperative games. In this unique presentation, Nash bargaining is recast as a multi-criteria optimization problem and the results from linear programming and duality are revived to prove the classic Bondareva-Shapley theorem. Two appendices covering prerequisite materials are provided, and a ＂bonus＂ appendix with an introduction to evolutionary games allows an instructor to swap out some classical material for a modern, self-contained discussion of the replicator dynamics, the author’s particular area of study.

Introduction To The Method Of Fundamental Solutions, An (1版)

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【簡介】 Over the past two decades, the method of fundamental solutions (MFS) has attracted great attention and has been used extensively for the solution of scientific and engineering problems. The MFS is a boundary meshless collocation method which has evolved from the boundary element method. In it, the approximate solution is expressed as a linear combination of fundamental solutions of the operator in the governing partial differential equation.One of the main attractions of the MFS is the simplicity with which it can be applied to the solution of boundary value problems in complex geometries in two and three dimensions. The method is also known by many different names in the literature such as the charge simulation method, the de-singularization method, the virtual boundary element method, etc.Despite its effectiveness, the original version of the MFS is confined to solving boundary value problems governed by homogeneous partial differential equations. To address this limitation, we introduce various types of particular solutions to extend the method to solving general inhomogeneous boundary value problems employing the method of particular solutions.This book consists of two parts. Part I aims to provide theoretical support for beginners. In the spirit of reproducible research and to facilitate the understanding of the method and its implementation, several MATLAB codes have been included in Part II.This book is highly recommended for use by post-graduate researchers and graduate students in scientific computing and engineering.

查泰萊夫人的情人

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【簡介】 《查泰萊夫人的情人》是英國作家D· H· Lawrence 於一九二八年在意大利佛羅倫斯自印出版的小說，這也是勞倫斯最後的一部長篇，至今被譽為二十世紀百部傑作之一。小說出版三十年後，在英美澳日依然是一部禁書。然而，在一九三六年的民國北平就已經出版了至今仍被認為是最傑出的中文全譯本，譯者饒述一。香港自五十年代起曾經幾次翻印出版過饒述一譯本，但翻印本的祖本並非一九三六年的原版，而是抗戰期間的盜印本，成了盜版的盜版。多年來有研究者多方尋找，於港臺各大學圖書館從未找到一九三六年初版本。在中國大陸，八十年代開始有出版社重印饒述一的譯本，惹起了不小的風波，而令人遺憾的是，重印的譯本都被任意編輯加工和刪改。到了二○○四年大陸出版了新譯本。譯者一面肯定書中性描寫的意義和水準，一面又「對個別性描寫之處做了適當的淡化和技術處理」，譯文有十多處刪減，有的是幾句話，有的則是大段刪除，使得整個場景支離破碎。與饒述一版相比，新時代的譯者和出版社對勞倫斯筆下的性描寫仍顯得相當保守。本版盡力保存完整的饒述一的譯本，一個主要的理由是，根據考證我們相信「饒述一」就是著名學者、翻譯家朱光潛先生，詳情參見本書附錄王蔚〈神秘的饒述一〉一文。 【目錄】