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Hot game
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<p>In <a href="/facts/Combinatorial_game_theory/fF4l0om2">combinatorial game theory</a>, a branch of mathematics, a hot game is one in which each player can improve their position by making the next move. </p><p>By contrast, a cold game is one where each player can only worsen their position by making the next move. The class of cold games are equivalent to the <a href="/facts/Class_(set_theory)/F5EmDd9b">class</a> of <a href="/facts/Surreal_numbers/VUHPpTKr">surreal numbers</a> and so can be ordered by value, while hot games can have other values. </p><p>There are also tepid games, which are games with a temperature of exactly zero. Tepid games are formed by the class of strictly numerish games: that is, games that are equivalent to a number plus an infinitesimal. </p><p><a href="/facts/Hackenbush/RQoAuvkI">Hackenbush</a> can only represent tepid and cold games (by its decomposition into a purple mountain and a green jungle). </p>