Quarter Placement Game - Quant Trader Interview Question
Difficulty: Medium
Category: Market Microstructure
Practice quant interview questions from top firms including Jane Street, Citadel, Two Sigma, DE Shaw, and other leading quantitative finance companies.
Topics: game-theory, strategy, symmetry, market-microstructure
Problem Description
Two players take turns placing identical quarters on a circular table. The quarters must lie completely on the table and cannot overlap. The last player who successfully places a quarter wins.
What is the optimal strategy for Player 1, and what is the guaranteed outcome if both players play optimally, assuming the table is large enough to hold at least one quarter?
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