We consider an extension of Church’s synthesis problem to ordinals by adding limit transitions to graph games. We consider game arenas where these limit transitions are defined...
Sequence prediction is a key component of intelligence. This can be extended to define a game between intelligent agents. An analog of a result of Legg shows that this game is a co...
We present a Coq-formalised proof that all non-cooperative, sequential games have a Nash equilibrium point. Our proof methodology follows the style advocated by LCFstyle theorem p...
We present a class of instances of the existence of a second object of a specified type, in fact, of an even number of objects of a specified type, which generalizes the existence...
— People play games for fun. Yet we are lacking a fundamental understanding of what fun is and how fun works in games and other media. For example, why do thousands of people spe...