Web Reference: Combinatorial game theory Mathematicians playing Kōnane at a combinatorial game theory workshop Combinatorial game theory is a branch of mathematics and theoretical computer science that typically studies sequential games with perfect information. 1. Introduction In this paper, we explore both combinatorial and classical game theory (see De nitions 2.1 and 3.1). Combinatorial game theory is the study of games like Chess or Checkers, where two players alternate turns until one wins the game. Classical game theory studies games like Rock Paper Scissors, where each player simultaneously makes a single decision without knowing the decision ... Examples of combinatorial games include chess, tic-tac-toe3, Connect 4, and go. Since these games have no chance, there do exist strategies for \perfect play." After a few games of tic-tac-toe, we can convince ourselves that when both players play optimally, neither player will win. Thus, we consider tic-tac-toe a solved game. Connect 4 has been solved as well, but with signi cant help from ...
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