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020 _a9789813227347
020 _a9781944660970 (pbk.)
_c$ 68.00
040 _bENG
_cIISER-BPR
_dIISER-BPR
041 _aENG
082 _a519.3
_bFER
_223rd
100 _aFerguson, Thomas S.
_95483
222 _aMathematics
245 _aA course in game theory
250 _a1st Indian ed.
260 _aSingapore:
_bWorld Scientific Publishing Co. Pte. Ltd.,
_c2024.
300 _axviii, 390p. :
_bill. ;
_c24cm
504 _aIncludes illustrations, appendices, solution to excercises, bibliographic references and subject index.
520 _aGame 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.
650 _aMathematics
650 _aProbabilities and applied mathematics
_95389
650 _aGame theory
_95484
942 _2ddc
_cBK
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_d4267