Question 1

What is the maximin strategy and how does it differ from maximizing profit?

Accepted Answer

The maximin strategy prioritizes avoiding the worst possible outcome rather than achieving the highest gain. A player selects the option that guarantees the best result among the least favorable scenarios. This approach provides security when other players' choices are unknown, helping manage risk in competitive situations where uncertainty dominates decision-making.

Question 2

How do you identify the maximin strategy in a payoff matrix?

Accepted Answer

For each strategy option, identify the minimum payoff that could result. Then compare these minimum payoffs and select the strategy with the highest minimum value. For example, if not investing yields a minimum of -10 and investing yields -80, the maximin strategy is not to invest since -10 is greater than -80.

Question 3

Why might companies choose maximin strategies even when Nash equilibrium offers higher payoffs?

Accepted Answer

Companies use maximin strategies to shield themselves from major losses when facing competitive uncertainty. While this approach limits potential gains, it prioritizes stability and risk management. When a company cannot predict competitors' actions, securing the best worst-case outcome becomes more valuable than pursuing uncertain higher profits.

Question 4

Can two companies using maximin strategies reach the same outcome as Nash equilibrium?

Accepted Answer

Not necessarily. In the electric vehicle charging example, the Nash equilibrium occurs when both companies invest, but if both adopt maximin strategies, Company A doesn't invest while Company B does. This divergence shows that maximin strategies prioritize individual security over mutual optimization, potentially leading to different equilibrium outcomes.

Question 5

What happens when a company knows its competitor is using a maximin strategy?

Accepted Answer

If Company A knows Company B is using maximin and will invest, Company A might reconsider its own maximin choice. Knowing the competitor's guaranteed action reduces uncertainty, allowing Company A to potentially invest for higher profit since the worst-case scenario becomes more predictable and less severe.

Question 6

How does maximin strategy apply to software product release decisions?

Accepted Answer

A software company using maximin evaluates the worst outcome for each option: releasing risks significant user loss if performance disappoints, while delaying maintains a neutral user base. The company chooses the option with the better worst-case result. Company Y might release if the minimum payoff from releasing exceeds the minimum from delaying, prioritizing stability over maximum growth.

Question 7

When is maximin strategy most appropriate for business decision-making?

Accepted Answer

Maximin strategy is most valuable when facing high competitive uncertainty and cannot reliably predict competitors' actions. It suits risk-averse companies prioritizing survival and stability over aggressive growth. This approach is particularly useful in volatile markets where the cost of worst-case outcomes is severe and could threaten the company's viability.

マキシミン戦略 II