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_b eng
_c WSPC
010 _z 2020029665
020 _a9789813227361
_q(ebook)
020 _z9789813227347
_q(hbk.)
050 0 4 _aQA269
_b.F45 2020
072 7 _aMAT
_x011000
_2bisacsh
072 7 _aBUS
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_2bisacsh
082 0 4 _a519.3
_223
100 1 _aFerguson, Thomas S.
_q(Thomas Shelburne),
_d1929-
_920986
245 1 2 _aA course in game theory
_h[electronic resource] /
_cby Thomas S. Ferguson.
260 _aSingapore :
_bWorld Scientific,
_c2020.
300 _a1 online resource (xviii, 390 p.)
520 _a"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). Games are characterized by a number of players or decision makers who interact, possibly threaten each other and form coalitions, take actions under uncertain conditions, and finally receive some benefit or reward or possibly some punishment or monetary loss. In this text, we present various mathematical models of games and study the phenomena that arise. In some cases, we will be able to suggest what courses of action should be taken by the players. In others, we hope simply to be able to understand what is happening in order to make better predictions about the future"--Publisher's website.
505 0 _aPreface -- Introduction -- Impartial combinatorial games. Take-away games. The game of Nim. Graph games. Sums of combinatorial games. Coin turning games. Green hackenbush -- Two-person zero-sum games. The strategic form of a game. Matrix games : domination. The principle of indifference. Solving finite games. The extensive form of a game. Recursive and stochastic games. Infinite games -- Two-person general-sum games. Bimatrix games : safety levels. Noncooperative games. Models of duopoly. Cooperative games -- Games in coalitional form. Many-person TU games. Imputations and the core. The shapley value. The nucleolus -- Appendices. Utility theory. Owen's proof of the minimax theorem. Contraction maps and fixed points. Existence of equilibria in finite games -- Solutions to exercises of part I. Solutions to chap. 1. Solutions to chap. 2. Solutions to chap. 3. Solutions to chap. 4. Solutions to chap. 5. Solution to chap. 6.
538 _aMode of access: World Wide Web.
538 _aSystem requirements: Adobe Acrobat Reader.
504 _aIncludes bibliographical references and index.
650 0 _aGame theory.
_96996
650 0 _aMathematical statistics.
_99597
655 0 _aElectronic books.
_93294
856 4 0 _uhttps://www.worldscientific.com/worldscibooks/10.1142/10634#t=toc
_zAccess to full text is restricted to subscribers.
942 _cEBK
999 _c72695
_d72695