AdvancedNumeric answer

A company is worth $V$ to its owner, uniform between $0$ and $100$ , and only the owner knows $V$ . Under your management it would be worth $1.5V$ . You make one take-it-or-leave-it bid, which the owner accepts exactly when it is at least $V$ . What bid maximises your expected profit?

Answer with a number. Fractions, powers and expressions like 23/6 or C(52,5) are read correctly in practice.

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Pricing a game: EV, re-rolls and when to stop

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A company is worth V to its owner, uniform between 0 and 100, and only the owner knows V. · QuantMax

A company is worth VVV to its owner, uniform between 000 and 100100100, and only the owner knows VVV. Under your management it would be worth 1.5V1.5V1.5V. You make one take-it-or-leave-it bid, which the owner accepts exactly when it is at least VVV. What bid maximises your expected profit?

More games, decision theory and puzzles questions

A company is worth $V$ to its owner, uniform between $0$ and $100$ , and only the owner knows $V$ . Under your management it would be worth $1.5V$ . You make one take-it-or-leave-it bid, which the owner accepts exactly when it is at least $V$ . What bid maximises your expected profit?