By Hans Peters
This textbook offers the fundamentals of online game idea either on an undergraduate point and on a extra complicated mathematical point. it's the moment, revised model of the winning 2008 version. The ebook covers so much subject matters of curiosity in video game idea, together with cooperative video game concept. half I offers introductions to these kind of themes on a simple but officially detailed point. It contains chapters on repeated video games, social selection thought, and chosen themes reminiscent of bargaining conception, trade economies, and matching. half II is going deeper into noncooperative thought and treats the idea of zerosum video games, refinements of Nash equilibrium in strategic in addition to vast shape video games, and evolutionary video games. half III covers uncomplicated thoughts within the thought of transferable application video games, akin to middle and balancedness, Shapley worth and diversifications, and nucleolus. a few mathematical instruments on duality and convexity are accumulated partly IV. each bankruptcy within the e-book includes a challenge part. tricks, solutions and suggestions are included.
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Additional resources for Game Theory: A Multi-Leveled Approach
Games and decisions: Introduction and critical survey. New York: Wiley. Luce, R. , & Tucker, A. W. ), (1958). Contributions to the theory of games IV. Annals of mathematics studies (Vol. 40). Princeton: Princeton University Press. , & Zamir, S. (2013). Game theory. Cambridge: Cambridge University Press. Morris, P. (1994). Introduction to game theory. New York: Springer. Moulin, H. (1988). Axioms of cooperative decision making. Cambridge: Cambridge University Press. Moulin, H. (1995). Cooperative microeconomics; a game-theoretic introduction.
Games like the Battle of the Bismarck Sea and Matching Pennies, discussed in Sect. 1 belong to this class. In Sect. 1 the basic definitions and theory are discussed. 2 shows how to solve 2 n and m 2 games, and larger games by elimination of strictly dominated strategies. 1 Basic Definitions and Theory Since all data of a finite two-person zero-sum game can be summarized in one matrix, such a game is usually called a ‘matrix game’. 1 (Matrix Game) A matrix game is an m n matrix A of real numbers, where m is the number of rows and n is the number of columns.
Sudhölter, P. (2003). Introduction to the theory of cooperative games. Boston: Kluwer Academic. Perea, A. (2012). Epistemic game theory: Reasoning and choice. Cambridge: Cambridge University Press. Rasmusen, E. (1989). , 1994/1995). Oxford: Basil Blackwell. Rubinstein, A. (1982). Perfect equilibrium in a bargaining model. Econometrica, 50, 97–109. Schelling, T. C. (1960). The strategy of conflict. Cambridge: Harvard University Press. Schmeidler, D. (1969). The nucleolus of a characteristic function game.
Game Theory: A Multi-Leveled Approach by Hans Peters