A Course In Game Theory
By: authored by Thomas S. Ferguson
Edition: First edition
Publisher: World Scientific Publishing Co Pvt Ltd
Published: 4 August, 2020
Place of publication: Singapore; Hackensack, New Jersey, USA
Language: eng
Format: Hardcover
Number of pages: 412
ISBN-13: 9789813227347
Copyright date: ©2020
First sentence: Combinatorial games are two-person games with perfect informations and no chance moves, and with a win-or-lose outcome.
Description: Game theory is a fascinating subject. We all know many entertaining games, such as chess, poker, tic-tac-toe, bridge, baseball, computer games ― the list is quite varied and almost endless. In addition, there is a vast area of economic games, discussed in Myerson (1991) and Kreps (1990), and the related political games [Ordeshook (1986), Shubik (1982), and Taylor (1995)]. The competition between firms, the conflict between management and labor, the fight to get bills through congress, the power of the judiciary, war and peace negotiations between countries, and so on, all provide examples of games in action. There are also psychological games played on a personal level, where the weapons are words, and the payoffs are good or bad feelings [Berne (1964)]. There are biological games, the competition between species, where natural selection can be modeled as a game played between genes [Smith (1982)]. There is a connection between game theory and the mathematical areas of logic and computer science. One may view theoretical statistics as a two-person game in which nature takes the role of one of the players, as in Blackwell and Girshick (1954) and Ferguson (1968).
Notes: Includes bibliographical references and index.
Typeset by Stallion Press.
Printed in Singapore.
Table of contents: title: --Pt. 1:impartial combinatorial games; title: --Take-away games; title: --The game of Nim; title: --Graph games; title: --Sums of combinatorial games; title: --Coin turning games; title: --Green Hackenbush --; title: --Pt. 2:two-person zero-sum games; title: --The strategic form of a game; title: --Matrix games; title: --Domination; title: --The principle of indifference; title: --Solving finite games; title: --The extensive form of a game; title: --Recursive and stochastic games; title: --Infinite games; title: --Pt. 3: two-person general-sum games; title: --Bimatrix games; title: --safety levels; title: --Noncooperative games; title: --Models of duopoly; title: --Cooperative games; title: --Pt. 4: games in coalitional form; title: --Many-person TU games; title: --Imputations and the core; title: --The shapely value; title: --The nucleolus.; title: --Bibliography; title: --Index