Conway's theory of partizan games is both a theory of games and a theory of numbers. We present here an extension such a theory to classify three-player partizan games. We apply this extension to solve a restricted version of three-player hackenbush.

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Outcome uncertainty is a key-factor to measure the interestedness of a game because people are not attracted by the game where the outcome is easily predictable. To create new variants of classical games is quite easy but to refine solved games, in order to make them much more fascinating, is challenging. We introduce two simple techniques (synchronism and stochastic elements) to refine the game of Hex. Experimental results show an increment of the outcome uncertainty defined as entropic function.

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