Editing Strategy (game theory) (section)

=== Outcome equivalence ===
Outcome equivalence combines the mixed and behavioral strategy of Player i in relation to the pure strategy of Player i’s opponent. Outcome equivalence is defined as the situation in which, for any mixed and behavioral strategy that Player i takes, in response to any pure strategy that Player I’s opponent plays, the outcome distribution of the mixed and behavioral strategy must be equal. This equivalence can be described by the following formula: (Q^(U(i), S(-i)))(z) = (Q^(β(i), S(-i)))(z), where U(i) describes Player i's mixed strategy, β(i) describes Player i's behavioral strategy, and S(-i) is the opponent's strategy.<ref>{{Cite journal|date=2012-05-01|title=Outcome-equivalence of self-confirming equilibrium and Nash equilibrium|url=https://www.sciencedirect.com/science/article/abs/pii/S0899825611001746|journal=Games and Economic Behavior|language=en|volume=75|issue=1|pages=441–447|doi=10.1016/j.geb.2011.09.010|issn=0899-8256|last1=Shimoji |first1=Makoto }}</ref>