Intro to Mathematical Economics

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Expected utility theory

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Intro to Mathematical Economics

Definition

Expected utility theory is a decision-making framework that helps individuals make choices under uncertainty by quantifying their preferences and potential outcomes. It combines the probabilities of various outcomes with the utilities derived from those outcomes, allowing for a more systematic approach to understanding risk and making decisions that align with one's preferences. This theory is essential for analyzing how individuals assess risk and formulate choices in uncertain environments.

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5 Must Know Facts For Your Next Test

  1. Expected utility theory assumes that individuals are rational and will choose options that maximize their expected utility, which combines probabilities and utilities of different outcomes.
  2. The utility derived from potential outcomes can vary significantly between individuals, leading to different decisions even when faced with the same risks.
  3. Risk-averse individuals will have concave utility functions, indicating that they derive less additional satisfaction from each extra unit of wealth compared to less risk-averse individuals.
  4. In expected utility theory, a lottery represents a mix of possible outcomes where each outcome has a specific probability; individuals evaluate these lotteries based on their expected utility.
  5. The concept helps explain behaviors such as insurance purchasing, where individuals pay a premium to avoid the risk of larger financial losses.

Review Questions

  • How does expected utility theory explain the decision-making process for individuals facing risky choices?
    • Expected utility theory explains that individuals assess potential choices by considering the possible outcomes and their associated probabilities. By calculating the expected utility for each choice, individuals can compare these values and make rational decisions that align with their preferences. This framework allows for a clearer understanding of how people weigh the risks versus rewards when faced with uncertainty.
  • Discuss the implications of risk aversion within the context of expected utility theory and how it affects individual decision-making.
    • Risk aversion significantly influences decision-making as it leads individuals to prefer options with lower risks, even if those options might yield lower expected returns. Within the framework of expected utility theory, risk-averse individuals will have utility functions that are concave, meaning they experience diminishing returns on additional wealth. This behavior explains why many people purchase insurance or choose safer investments instead of taking potentially higher-paying risks.
  • Evaluate the role of expected utility theory in understanding real-world economic behaviors, particularly regarding investment decisions and insurance.
    • Expected utility theory plays a crucial role in understanding economic behaviors by providing insights into how individuals make investment decisions and purchase insurance. For instance, when investing, individuals assess potential returns alongside associated risks, using expected utility calculations to determine their best course of action. Similarly, when buying insurance, individuals weigh the small certain cost against the potential for significant uncertain losses. This evaluation demonstrates how expected utility theory helps explain why people engage in behaviors like hedging risks or diversifying investments to optimize their overall satisfaction and minimize uncertainties.
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