ECON 440: Lecture 9 - Present Bias

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Questions and Answers

What is the utility of eating poorly in the first period?

  • 7 (correct)
  • 7.5
  • 8
  • 6

In which period does the decision-maker choose to eat poorly?

  • Neither Period
  • Both Periods
  • Period 2 (correct)
  • Period 1

What does the 'dual self' model illustrate regarding decision-making?

  • Conflicts arise between a rational planner and impulsive doers. (correct)
  • Doers always reflect the planner's decisions.
  • All actors are equally rational.
  • A single planner makes all decisions.

What is a characteristic of a naive agent in the context of time inconsistency?

<p>They assume they will be consistent in future decisions. (B)</p> Signup and view all the answers

How does tempting preference influence decision-making?

<p>It affects preferences based on the available options. (A)</p> Signup and view all the answers

What is the cost of writing the paper in weekend 1?

<p>3 (B)</p> Signup and view all the answers

If an agent has $eta < 1$, what does this signify about their consistency?

<p>They are definitely time-inconsistent. (C)</p> Signup and view all the answers

During a hot decision state, which is likely true about the decision-maker?

<p>They lose control over their cravings. (B)</p> Signup and view all the answers

What is the primary benefit of finishing the paper?

<p>Receiving a grade after submission. (C)</p> Signup and view all the answers

An agent who knows they will be time-inconsistent in the future is termed as which type?

<p>Sophisticated agent (B)</p> Signup and view all the answers

What utility does the sophisticated agent estimate if they choose to do the paper in week 2?

<p>$21ar{v} - 5$ (D)</p> Signup and view all the answers

Which decision does the sophisticated agent make in week 3?

<p>Do the paper (C)</p> Signup and view all the answers

In the context of the decision tree for the sophisticated agent, what happens in week 1 if they choose to wait?

<p>They will be forced to complete the paper in week 2 (D)</p> Signup and view all the answers

What equation represents the estimation of δ through willingness to pay in time preference measurement?

<p>$Y = rac{100}{δ}$ (C)</p> Signup and view all the answers

In the Multiple Price Lists methodology, what is typically held constant while the other option varies?

<p>The smaller, sooner reward (B)</p> Signup and view all the answers

What is the utility of doing the paper in week 1?

<p>$ar{v} - 3$ (B)</p> Signup and view all the answers

If the agent waits until week 2, what will their expected utility for doing the paper be?

<p>$ar{v} - 8$ (D)</p> Signup and view all the answers

What decision does the agent make if they opt not to do the paper in week 1?

<p>They will wait until week 3 to write it. (C)</p> Signup and view all the answers

What is the best choice for the agent in week 3 if they have not written the paper yet?

<p>To wait and write the paper later for utility $ar{v} - 8$. (D)</p> Signup and view all the answers

Which week has the highest utility for doing the paper?

<p>Week 1 (C)</p> Signup and view all the answers

How does the utility change between week 2 and week 3 for waiting to do the paper?

<p>Decreases by 5. (B)</p> Signup and view all the answers

If the agent does not write the paper at all, what will be their utility in week 4?

<p>There will be no utility. (A)</p> Signup and view all the answers

What is the utility for doing the paper in week 2 as compared to waiting for week 3?

<p>Higher utility in week 2. (C)</p> Signup and view all the answers

What does the decision tree illustrate regarding the agent's approach to writing the paper?

<p>The agent's decisions are based on maximizing utility each week. (A)</p> Signup and view all the answers

What assumption does the naive agent incorrectly make about their future self?

<p>That their future self will be time-consistent (D)</p> Signup and view all the answers

What utility does the naive agent perceive when choosing to wait until week 2?

<p>$1ar{v} - 4$ (D)</p> Signup and view all the answers

What is the utility of writing the paper in week 3?

<p>$21ar{v} - 8$ (C)</p> Signup and view all the answers

Which week does the naive agent ultimately do the paper?

<p>Week 4 (B)</p> Signup and view all the answers

What utility does the naive agent expect if they wait in week 1?

<p>$1ar{v} - 2.5$ (B)</p> Signup and view all the answers

In week 3, the naive agent decides not to write the paper. What is their justification?

<p>They think they will write it in week 4 instead (C)</p> Signup and view all the answers

What is the difference in utilities between doing the paper and waiting in week 2?

<p>$21ar{v} - 5 - (1ar{v} - 4)$ (D)</p> Signup and view all the answers

What consequence does the naive agent face due to their time inconsistency?

<p>They miss out on social activities like seeing a movie (C)</p> Signup and view all the answers

Why does the naive agent continue to wait until the last moment to do the paper?

<p>They assume they will be more motivated later (A)</p> Signup and view all the answers

What does the β-δ discounting model primarily introduce to the utility function?

<p>Additional discounting for all future periods through a bias towards the present (D)</p> Signup and view all the answers

In the context of present bias, what normal behavior do consistent planners exhibit?

<p>They would choose to complete tasks in the moment if beneficial. (C)</p> Signup and view all the answers

If β = 1 in the β-δ discounting model, what does this imply?

<p>The model becomes the same as the exponential discounting model. (A)</p> Signup and view all the answers

Which of the following phrases exemplifies present bias?

<p>I will exercise tomorrow instead of today. (C)</p> Signup and view all the answers

How does present bias contribute to time inconsistency in choices?

<p>By enhancing the perceived value of immediate rewards at the expense of future planning. (B)</p> Signup and view all the answers

In the behavioral model of present bias, what is typically true about the value assigned to the present period?

<p>It receives additional weight compared to future utility due to present bias. (B)</p> Signup and view all the answers

What is a common outcome for individuals influenced by present bias when considering future actions?

<p>They consistently choose immediate actions over delayed benefits. (A)</p> Signup and view all the answers

What is the range of the parameter β in the β-δ discounting model?

<p>0 ≤ β ≤ 1 (B)</p> Signup and view all the answers

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Study Notes

Present Bias

  • Present bias refers to a discrepancy in how people value immediate rewards over future rewards.
  • People with present bias consistently choose smaller, immediate rewards over larger, delayed rewards, despite knowing the larger reward would offer higher long-term benefit.

The Behavioral Model: Present-Bias

  • The model incorporates the concept of present bias by modifying the standard exponential discounting model.
  • This model, known as β-δ discounting, introduces a "present bias" parameter, β, which represents the additional discount applied to future periods.
  • When β equals 1, the model reduces to the standard exponential discounting model.
  • However, for β less than 1, present bias emerges, giving a relative boost to the current period's utility over future periods.

Example: How Present-Bias Leads to Time-Inconsistency

  • Time inconsistency occurs when an individual's preferences change over time, leading to different decisions made in the present compared to past or future selves.
  • Present bias can cause time inconsistency, as the immediate temptation to eat poorly may lead to a different choice in the present period versus a future period when the same reward is considered more objectively.

Other Explanations of Time Inconsistency

  • Dual self model proposes a "planner" and multiple "doers."
  • Time Inconsistency can arise if "doers" are solely driven by present gratification, making decisions at odds with the planner's long-term goals.

Non-Discounting Models of Time Inconsistency

  • Hot and Cold decision states: People make different choices depending on their emotional or "hot" state, often driven by immediate gratification impulses.
  • Temptation preferences: Individuals value not just consumption but the available options.

The Behavioral Model: Examples

  • Procrastination: Individuals face the burden of completing a task within a deadline with multiple choices of when to do it.
  • Analyzing such decisions requires backward induction, starting from the end and working backward.

Example: Paper Writing

  • This example depicts a student who needs to write a paper within four weekends.
  • Each weekend carries a cost of missing out on a movie that increases with each passing week.
  • The decision to write the paper is influenced by time preferences, particularly whether the individual is time-consistent, naïve, or sophisticated.

Measuring Time Preferences

  • Researchers employ experiments to estimate both aggregate and individual-level time preferences.
  • These experiments focus on trade-offs between rewards in different time periods.

Measuring β-δ Preferences

  • By analyzing how individuals trade off smaller sooner rewards for larger later rewards, researchers can estimate the β and δ parameters.

More Details on Multiple Price List Methodology

  • This method is commonly used for estimating individual time preferences.
  • Participants are presented with choices involving varying combinations of smaller sooner and larger later rewards.
  • The point where an individual switches preferences reveals their time preferences.
  • It's crucial to have choices with both immediate and delayed rewards to separately identify β and δ.

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