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Infinite games. Combinatorial game theory for infinite two-player games of perfect information. Open games, clopen games. Determinacy. Transfinite game values. Topological games.
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Why is game theory formulated in terms of equilibrium instead of winning strategies?
Equilibria and strategies go hand in hand. To figure out the equilibria, you have to propose strategies for each player and play them out to their logical end. The optimal strategies (which are not ne …