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Maximin criterion

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Game Theory

Definition

The maximin criterion is a decision-making strategy used under uncertainty that prioritizes maximizing the minimum possible payoff or outcome. This approach is particularly useful for individuals or organizations that prefer to avoid worst-case scenarios and focus on securing the best outcome among the least favorable options available. By selecting the alternative with the highest minimum payoff, decision-makers can feel more secure in their choices amidst uncertain circumstances.

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5 Must Know Facts For Your Next Test

  1. The maximin criterion is especially favored by those who are risk-averse, as it focuses on ensuring the best worst-case outcome.
  2. In situations with multiple options, decision-makers using the maximin criterion will first identify the minimum outcome for each option and then choose the one with the highest minimum value.
  3. This criterion can be particularly effective in fields such as economics and game theory, where uncertainty and competition are prevalent.
  4. The maximin approach contrasts with strategies like maximax, which aims to maximize potential gains without regard for losses.
  5. When applying the maximin criterion, it's important to carefully evaluate all potential outcomes to accurately determine minimum payoffs.

Review Questions

  • How does the maximin criterion influence decision-making strategies in uncertain environments?
    • The maximin criterion influences decision-making by guiding individuals to focus on minimizing their potential losses in uncertain environments. By selecting options that secure the best worst-case scenario, decision-makers feel more protected against unfavorable outcomes. This approach resonates with risk-averse individuals who prioritize stability and security over pursuing high-risk, high-reward opportunities.
  • Compare and contrast the maximin criterion with other decision-making strategies such as maximax and expected value. What are the implications of choosing one over another?
    • The maximin criterion focuses on maximizing the minimum outcome, while maximax aims for the maximum possible gain regardless of risks involved. Expected value considers both outcomes and their probabilities to provide an average expected return. Choosing maximin can lead to safer choices in high uncertainty, while maximax might attract those willing to take risks for potentially higher rewards. The implications include differing levels of risk tolerance and potential outcomes based on decision contexts.
  • Evaluate how the maximin criterion can be applied in real-world situations, particularly in business or policy-making. What are its strengths and weaknesses?
    • In real-world situations such as business strategy or policy-making, the maximin criterion provides a structured way to navigate uncertainty by emphasizing stable outcomes. Its strengths include fostering cautious decision-making and protecting against worst-case scenarios, which can be crucial during economic downturns or crises. However, its weaknesses lie in potentially overlooking opportunities for higher returns that come with increased risks. Balancing this criterion with other strategies like expected value can help create a more comprehensive decision-making framework.
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