TIFR ECE 2011 | Question: 8

Question

Let $f(x, y)$ be a function in two variables $x, y$. Then which of the following is true

• A. $\max _{x} \min _{y} f(x, y) \leq \min _{y} \max _{x} f(x, y)$.
• B. $\max _{x} \min _{y} f(x, y) \geq \min _{y} \max _{x} f(x, y)$.
• C. $\max _{x} \min _{y} f(x, y)=\min _{y} \max _{x} f(x, y)$.
• D. $\max _{x} \min _{y} f(x, y)=\min _{y} \max _{x} f(x, y)+\min _{y} \min _{x} f(x, y)$.
• E. None of the above.