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Hard · Game Theory & Logic · Quant Trader interview question · game-theory, nash-equilibrium, probability, mixed-strategy
Consider a simplified El Farol Bar problem with 100 agents. Each agent must decide whether to go to the bar tonight. The bar has a limited capacity, and agents prefer to go if it's not too crowded. Specifically, an agent only enjoys going to the bar if fewer than 60 agents attend. If more than or equal to 60 agents attend, they regret going. Assume all agents act rationally and simultaneously. They each form a prediction about how many agents will attend. If an agent predicts fewer than 60 atten