 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/ib/paper-3/19h/a/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

p, q

, they are optimal with value

v

exactly when

p^{T} A e_{j} \geq v for every column j, e_{i}^{T} A q \leq v for every row i,

and

p^{T} A q = v

. These are the mutual best-response and security-level conditions.

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