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Quantitative Operations Associate Interview Questions

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200 pieces of 1 dollar coins, for each one it has equal probability to go into the pot or not. You will bid for that pot (get the money in the pot but you don't know how many coins are exactly in the pot). Anyone who offers the highest bid win the auction. What would you bid (with 1 competitor, 10 competitors)? Now if just we two bid and we are trying our best strategy, but I have the advantage of knowing how many of the first 10 coins go into the pot. What will be our strategies? How much will you bid and what is your expected payoff?
avatar

Quantitative Researcher

Interviewed at Jane Street

4.4★
Dec 30, 2016

200 pieces of 1 dollar coins, for each one it has equal probability to go into the pot or not. You will bid for that pot (get the money in the pot but you don't know how many coins are exactly in the pot). Anyone who offers the highest bid win the auction. What would you bid (with 1 competitor, 10 competitors)? Now if just we two bid and we are trying our best strategy, but I have the advantage of knowing how many of the first 10 coins go into the pot. What will be our strategies? How much will you bid and what is your expected payoff?

first question - let's play a game where you have ten chips, and you want to split them up into stacks such that you want to maximize your score, which is the product of the size of each stack. what's the best you can do with 10? what about 100 chips? what about N chips arbitrarily large?
avatar

Quantitative Trading Intern

Interviewed at Jane Street

4.4★
Feb 13, 2024

first question - let's play a game where you have ten chips, and you want to split them up into stacks such that you want to maximize your score, which is the product of the size of each stack. what's the best you can do with 10? what about 100 chips? what about N chips arbitrarily large?

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