Realization-equivalent strategies (source code)

= Realization-equivalent strategies

= Realization-equivalent
{synonym}

Two strategies for the same player are realization-equivalent when they induce the same <probability distribution> on terminal histories against every fixed opposing <strategy profile>. The requirement is stronger than having equal <expected payoff> against one particular opponent. For a finite <extensive-form game> with <perfect recall>, <Kuhn's theorem> gives this equivalence between appropriate <mixed strategies> and <behavioural strategies>.