About this question
Hard · Game Theory & Logic · Quant Trader interview question · game-theory, probability, mixed-strategy, equilibrium
100 people are deciding whether to go to El Farol Bar tonight. If more than 60 people go to the bar, it's too crowded and everyone who went has a bad time. If 60 or fewer people go, it's a fun night for those who went. Everyone knows this, and everyone is perfectly rational. Assume people go to maximize their expected utility. Everyone has access to the same information and will utilize the same strategies. Under a mixed strategy equilibrium, what is the probability each person goes to the bar