Abstract:The theory of combinatorial games (like board games) and the theory of social games (where one looks for Nash equilibria) are normally considered two separate theories. Here we shall see what comes out of combining the ideas. J. Conway observed that there is a one-to-one correspondence between the real numbers and a special type of combinatorial games. Therefore the payoffs of a social games are combinatorial games. Probability theory should be considered a safety net that prevents inconsistent decisions via t… Show more
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