18.14
Consider two companies in the electric vehicle charging market, both considering investing in ultra-fast charging technology.
Here's their payoff matrix.
The Nash equilibrium in this game occurs when both companies choose to invest.
However, Company A may prioritize the worst-case scenario and choose the maximin strategy.
Let's identify the maximin strategy
For Company A, if it doesn't invest, the minimum payoff is -10.
If A invests, the minimum payoff is -80.
The maximin strategy for A is to maximize this minimum payoff. Therefore, the maximin strategy for A is not to invest since -10 is greater than -80.
For Company B, if it doesn't invest, the minimum payoff is 0.
If B invests, the minimum payoff is 10.
The maximin strategy for Company B is to invest since 10 is greater than 0.
If both companies adopt maximin strategies, Company A would not invest, and Company B would. This choice shields Company A from major losses but limits potential gains.
If Company A knew for certain that Company B was using a maximin strategy, it might choose to invest, aiming for a higher profit.
The maximin strategy in game theory is a decision-making approach used when players want to avoid the worst possible outcomes in uncertain situations.…
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