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Lecture 2 to 4
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What is a decision?
Something with more than 1 possible response
Risky Decision
The outcomes of the possible responses are risky/uncertain
Possible decision parameters
Size of the outcome, probability of outcome occurring, time to outcome, effort to obtain
Economic definition of risk
Variance, +10/+90 is more risky than +40/+60 even if avg outcome is the same
Risk as hazard
Losing something is considered “risk”
Risk vs uncertainty in Knightian terms
Risk means you know the probability, uncertainty means you can only estimate or learn the probability
Utility
A common currency for choices, represents perceived value/perceived usefulness to an individual
Expected utilities
What is the expected return of utilities after making a decision
Bernoulli Effect
More wealth = less utility, less value the more wealth you get
Framing effect
How you frame a percentage can change how it is viewed
Tropical flu problem
Framing 1 version as saving people, one as fatalities
How does the tropical flu problem show the framing effect
If you frame as saving people (gains), people choose the less likely to choose the risky version, if you frame as preventing casualties (loss), people prefer the risky decision
Value Function
A function that plots utility vs gains/losses that everyone implicitly has in their head. Based on some amount of gains, you will have some amount of utility (i.e how much something is worth to you mentally)
What is an “ideal” value function
y=x
How does the value function relate to the framing effect?
If something is framed as a gain, the utility is lower than the utility from the same loss (i.e at x = 2 and x = -2, |y| is greater at x = -2) due to flattening
What does flattening of the value function imply
Since the gain flattens faster, more gains means a slower increase in utilities.
Prospect theory
Gains and losses are different parts of our value function, and the value function has a reference point, aka a point that decides if something will make you better off or worse off
Weighting function
Everyone has one, shows probability weight vs probability, essentially maps what people think the subjective probability of something is based on what the real probability is (someone might think 1% has a subjective probability of 5%)
How does our subjective probability generally compare to real probability
Generally distorted, we think low probabilities are more likely to happen, and high probabilities are less likely to happen
What was Lichtensteins study and what did it show
Asked people to estimate mortality rates of certain death causes
Cost benefit calculation
Making a decision based on analyzing the potential cost and the benefits before picking an option
Heuristic
A fast method to make decisions that are suited for the everyday world, and that are good enough usually.
Availability Heuristic
Mental shortcut that estimates frequency or probability by what comes to mind immediately
Representativeness Heuristic
Probability of an event is estimated from a similar situation
What kind of heuristic is the gamblers fallacy?
Representativeness, we estimate the probability to be 50/50 so we assume that after a streak one result is more likely than the other
Gamblers fallacy
Gamblers see streaks and ignore the independence of events and assume that a future result will be true based on past results
Conjunction fallacy
People don’t understand that the conjunction of two things (logical and) will be less likely, or equally likely than the individual events (P(a)+P(b) <= P(A))
Linda Problem
Subjects ranked different descriptions of Linda in order of most likely to least likely, shows the conjunction fallacy
Base rate neglect
People ignore base rates/basic frequencies in favour of similarity to reference category
Blackjack heuristics
People who increased bets after losses relied on representativeness, people who decreased rely on avaliability
What happened with Damasio’s patient, EVR?