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 vs would give an additional equilibrium of but choosing and 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