The sum of combinatorial games

In this course on game theory, we will be studying a range of mathematical models of con°ict and cooperation between two or more agents. The course will attempt an overview of a broad range of models that are studied in game theory, and that have found application in, for example, economics and evolutionary biology. In this Introduction, we outline the content of this course, often giving examples.

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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,

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