1- Choice under uncertainty Flashcards

1
Q

What does weak preference (≽) mean?

A

At least as good as

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2
Q

What are axioms?

A

Self-evident statements which cannot be proven

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3
Q

What is the axiom of transitivity?

A

If x≽y and y≽z then x≽z

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4
Q

What is the axiom of completeness?

A

Either x≽y or y≽x or both

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5
Q

When are weak preference relations defined as rational?

A

The weak preference relation is rational if it satisfies the Axioms of Transitivity and Completeness

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6
Q

What is the indifference preference relation?

A

x~y if and only if x≽y and y≽x

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7
Q

What are the 3 properties of the indifference preference relation?

A
  1. Reflexivity: x~x
  2. Symmetry: if x~y then y~x
  3. Transitivity: if x~y and y~z then x~z
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8
Q

What is the strict preference relation definition?

A

x≻y if and only if x≽y and not y≽x

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9
Q

What are the 3 properties of the strict preference relation?

A
  1. Irreflexivity: Not x≻x
  2. Anti-symmetry: if x≻y then not y≻x
  3. Transitivity: if x≻y and y≻z then x≻z
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10
Q

What are the 2 requirements of a rational choice?

A
  1. rational preference ordering
  2. choose the most preferred option under the set of alternatives
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11
Q

What is the representation theorem?

A

For finite domains, there exists a utility function u(·) that represents the weak preference relation ≽ if and only if ≽ is rational

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12
Q

What are explicit costs?

A

What you have to pay in dollars to get something

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13
Q

What are opportunity (implicit) costs?

A

The value of the next best option foregone

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14
Q

What is net (utility) surplus?

A

Utility of your choice minus opportunity cost

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15
Q

What is the opportunity cost proposition?

A

An alternative is a rational choice if and only if its utility is greater than its opportunity cost

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16
Q

What are sunk costs?

A

Costs that cannot be recovered once the decision is made

17
Q

What is the sunk cost fallacy?

A

Failure to ignore sunk costs

18
Q

What is the Independence of Irrelevant alternatives?

A

If x is chosen from menu {x,y} then y cannot be chosen from menu {x,y,z}

19
Q

What is the decoy effect and how does it change preferences?

A

If you introduce a similar good which is absolutely dominated by your own good then you can shift the indifference curve slope in favour of your good

20
Q

What is the compromise effect?

A

Consumers often prefer the middle option due to extremeness aversion so firms may offer extremely expensive or cheap products to manipulate clients

21
Q

How are menu dependencies explained?

A

If you make a decision you have to justify your purchase so although you may be spending a lot, the belief it is a bargain justifies it

22
Q

What is the willingness to accept (WTA)?

A

The minimum price to give up an object if in possession

23
Q

What is the willingness to pay (WTP)?

A

The maximum price in order to obtain the object

24
Q

What should the relationship between WTA & WTP be under rational preferences?

A

WTA=WTP i.e. endowment should not affect choice

25
Q

What is the endowment effect?

A

Subjects often require more to give up an object than they would be willing to pay to get one: WTA > WTP

26
Q

What is loss aversion?

A

The phenomenon that people dislike losses more than gains

27
Q

What is the Anchor and adjustment heuristic?

A

Adjustments are frequently insufficient such that final judgements reflect the (possibly) arbitrary anchor

28
Q

How do you construct a budget line? i.e. what is its equation

A

p1q1 + p2q2 = w

29
Q

How do you find the Marginal rate of substitution?

A

Differentiate the budget line for it’s gradient

30
Q

How do you calculate the value of gains and losses with a reference point value function?

A

Insert reference point and amount in gain scenario, and subtract for ELSE scenario, vice versa for loss