Decision-Making and Preference Theories

Decision-Making and Preference Theories

Assessment

Interactive Video

Mathematics

11th - 12th Grade

Hard

Created by

Thomas White

FREE Resource

The video introduces the Maschine Mercek Triangle as a tool for modeling lotteries and preferences. It explains degenerate lotteries, also known as simple lotteries, and how they are used in modeling. The video discusses the von Neumann Morgenstern expected utility theorem, focusing on rational preferences, mixture continuity, and independence. It presents case studies illustrating preference violations and concludes with final thoughts.

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9 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary purpose of the Maschine Mercek Triangle?

To predict stock market trends

To design lottery games

To calculate probabilities

To model preferences over lotteries

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is another term for a degenerate lottery?

Uncertain lottery

Simple lottery

Complex lottery

Random lottery

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of the simplex method, what does a point with one-third probability represent?

A certain outcome

An equal distribution among outcomes

A preference for one outcome

A random selection

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What theorem is used to visualize the requirements for preferences to have an expected utility function?

Central Limit Theorem

Von Neumann-Morgenstern Theorem

Game Theory Theorem

Bayes' Theorem

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT a requirement for rational preferences?

Randomness

Transitivity

Completeness

Independence

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does mixture continuity imply in decision-making?

Preferences are always uncertain

Preferences are based on past experiences

Preferences remain unchanged when mixed with other factors

Preferences change with new information

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a well-behaved case, what do indifference curves represent?

Levels of dissatisfaction

Levels of utility

Levels of risk

Levels of probability

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when a case violates independence?

The probabilities are equal

The outcomes become certain

The preferences remain the same

The ranking of preferences changes

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main takeaway from the video?

Designing new lottery games

Predicting future events

Learning how to win lotteries

Understanding the application of the Maschine Mercek Triangle