Quote:
Originally Posted by gay_on_tse
Even for mixed strategy?
Yeah. If you dont allow mixed strategies existence does not hold. Think Rock, Paper, Scissors. That game does not have N.E in pure strategies, only in mixed strategies.
Uniqueness does require that you remove redundant strategies tho. Again, think Rock, Paper, Scissors. If you add "Bowling ball" to the strategy set and have Bowling Ball beat Scissors, lose to Paper and tie with Rock, then Bowling Ball is a redundant strategy, as it will be exactly similar to Rock. A Rock, Paper, Scissors game with an extra redundant strategy as Bowling Ball, will have an infinite amount of N.E.