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White Elephant Game Strategy in Jane Street Quant Interviews

The White Elephant gift exchange is a classic holiday party game known for its blend of luck, strategy, and social interaction. It’s no surprise that this game has been featured in quantitative finance interviews, including at Jane Street, where decision-making under uncertainty is a core skill. In this article, we’ll thoroughly analyze the Jane Street Quantitative Trader Interview Question: White Elephant Game Optimal Strategy. We’ll uncover the mathematical underpinnings, explain the sequential decision process, and describe how to maximize your expected value in the game. Whether you’re preparing for a quant interview or simply want to win your next White Elephant, this guide is for you.

The White Elephant gift exchange, sometimes called Yankee Swap or Dirty Santa, is a popular party game where participants exchange gifts, often with the possibility of “stealing” items from others. The game is played as follows:

Variations exist (such as limits on the number of times an item can be stolen), but for the purposes of this analysis, we will focus on the core sequential version with N participants and the standard rule: on your turn, choose a new gift or steal any existing gift.