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Understanding Decision Making with Bernoulli

Mar 29, 2025

Lecture on Decision Making and Bernoulli’s Gift

Introduction

  • Decision-making is a daily activity, spanning across various domains such as financial, gastronomic, professional, and romantic.
  • A Dutch polymath, Daniel Bernoulli, provided a formula in 1738 that helps in making the right decisions: the expected value of our actions is the product of the odds of gaining and the value of that gain.

Bernoulli’s Equation

  • Expected value = Odds of success x Value of success.
  • Simple for coin tosses but complex in everyday life due to human error in estimating odds and values.

Errors in Estimating Odds

  • Calculating odds is seemingly straightforward but challenging in real-life situations.
  • People often estimate odds based on memory recall, leading to biases (e.g., dogs vs. pigs on leashes in Oxford).
  • Example: Overestimation and underestimation of death causes based on media coverage (tornadoes vs. asthma).
  • Lottery example: Winners are highlighted, but the numerous losers aren’t, skewing perception.

Errors in Estimating Value

  • Estimating the value of gains is more challenging than estimating odds.
  • Value comparison: Big Mac is not worth $25 unless the context changes (e.g., on a long flight).
  • People compare to the past rather than other potential investments, leading to systematic errors (e.g., salary changes, vacation package pricing).

Shifting Comparisons

  • Comparisons influence perceived value, but consumption doesn’t consider initial comparisons.
  • Example: Wine pricing and theater ticket replacement scenario.

Time and Value

  • People struggle with decisions involving different time frames.
  • Tendencies: Prefer more over less and now over later.
  • Example: Choosing $50 now vs. $60 in a month.
  • Dynamic inconsistency due to shifting comparisons over time.
  • Persuasion through vivid future imagery can aid in better long-term decision-making.

Questions and Discussion

  • Terrorism and Fear: Terrorism induces fear disproportionate to its statistical threat due to media portrayal and human psychology.
    • Discussion on downplaying media portrayal and focusing on relative threat size.
  • Lottery Ticket Value: Serotonin release from anticipation provides value beyond the potential financial gain.
  • Aging and Future Planning: Difficulty in persuading people to plan for aging due to less vivid future thinking.
    • Psychologists suggest imagining the future in detail to balance decision-making between near and far future.

Conclusion

  • Despite human errors, it is crucial to improve decision-making based on Bernoulli’s formula as humanity holds its fate in its hands.
  • The lecture emphasizes the need to align our decision-making abilities with Bernoulli’s insights to ensure survival and well-being.