Formula

Condition for Bruno's Optimal Rent in a Tenancy Contract

To maximize his income, Bruno will select the highest rent that Angela is willing to accept. This optimal rent is determined by the condition that Angela's utility under the contract is exactly equal to her reservation utility, u0u_0. Formally, the rent c0c_0 must satisfy the equation u(t,g(24t)c0)=u0u(t^*, g(24-t^*) - c_0) = u_0, where tt^* represents Angela's optimal choice of free time given the contract.

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Updated 2026-05-02

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