Lecture 4: Prospect Theory and Beyond Flashcards
Expected value (EV) formula
Expected Value (EV) = ∑ p・X
Expected utility (EU) formula
Expected Utility (EU) = ∑ p・U(X)
Prospect theory (PT) formula
Prospect Theory (PT) = ∑ π(p)・V(X)
Allais paradox
if 2 options (within a choice set) have the same probability for a given consequence, then you should ignore this consequence when choosing between the options
- one should base the choice on the aspects of the options that differ
- violates the common consequence principle
possible explanations for the Allais paradox
- people’s decisions are influenced by anticipated regret
- people’s perception of probability is non-linear (jump from 0% to 1% is not the same psychologically as the jump from 89% to 90%)
Ellsberg paradox
illustrates how people often prefer choices with known probabilities over those with unknown probabilities, even when this violates the principles of rational decision-making
- it demonstrates our discomfort with uncertainty
possible explanation for the Ellsberg paradox
people tend to avoid ambiguous probabilities
prospect theory
an analysis of decision under risk
- describes several classes of choice problems in which people’s choices systematically violate the axioms of expected utility theory
expected utility theory
outcomes are multiplied by probability -> decisions
certainty effect
in prospect theory, outcomes received with certainty are overweighted relative to uncertain outcomes
probability and possibility
- when winning is probable (high %), people choose the option that is probable
- when winning is merely possible (low %), people choose the largest gain
the reflection effect
moving to the loss/negative prospect changes preference
expected utility theory (utility functions)
people are risk averse
prospect theory (utility functions)
- risk aversion for choices with sure gain
- risk seeking for choices with a sure loss
value function of prospect theory
- defined on gains and losses rather than on total wealth
- concave in the domain of gains and convex in the domain of losses
- considerably steeper for losses than for gains (losses loom larger than gains)