Harsanyi's purification theorem notwithstanding, the epistemic conditions justifying mixed-strategy equilibria as rational prescriptions remain contested in the literature on equilibrium selection.

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Equilibrium selection(game theory): The problem of choosing which solution to pick when a game has multiple possible outcomes where everyone is doing their best.
Harsanyi(game theory and decision-making under uncertainty): John Harsanyi was a Hungarian-American economist and philosopher who developed a mathematical framework for understanding how people make decisions when they don't have complete information about others' beliefs or preferences.
Mixed-strategy equilibria(game theory): A situation in a game where each player randomly chooses between different actions (rather than always picking the same move), and no player can do better by changing their random choices.
Purification theorem(game theory concept): Harsanyi's mathematical proof showing that certain random strategies in games can be explained as if players were just making very precise (non-random) choices based on information they couldn't quite perceive.

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