Intransitive Strategies It seems that this page needs to mention the case when strategies are intransitive In the number game for example a comparison of 0 vs 4 would give an additional equilibrium of 4 4 but choosing 3 4 3 2 2 1 and 1 0 This situation seems to apply to several cases such as the Traveler s Dilemma and Centipede game where the Nash equilibrium is not the result of play and not the best strategy I don t know of any references and am not educated in game theory but explicitly addressing this could make these cases where the Nash equilibrium is not chosen much less confusing