Determining a Strategic Payoff
The payoff matrix below shows the profits (in millions of dollars) for two competing companies, Innovate Corp. (row player) and Market Giant (column player). The payoffs are listed as (Innovate Corp.'s Profit, Market Giant's Profit).
| Market Giant: Strategy X | Market Giant: Strategy Y | |
|---|---|---|
| Innovate Corp.: Alpha | (30, 25) | (15, 35) |
| Innovate Corp.: Beta | (28, 20) | (X, 32) |
Suppose it is known that Market Giant will definitely choose 'Strategy Y'. Currently, the payoff 'X' for Innovate Corp. is unknown. What is the smallest whole number value 'X' could be to make 'Beta' the best response for Innovate Corp.?
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