Choice under Uncertainty Flashcards
What impact does the existence of uncertainty have on economic decision-making?
It means that there are risks involved because the payoff/benefit is not always clear
What is the definition of uncertainty?
Where we don’t know the probability distribution
What is the definition of risk?
Where we do know the probability distribution
What does expected value capture?
It captures the long-term average benefit of playing a game so that the player can determine whether they want to play or not
How is EV calculated?
By adding up the probability of all of the outcomes of the game
What is an actuarially fair game?
A game where the expected outcome of a game = the input required to play the game
What risks come from playing an actuarially fair game?
There is the potential that you can exceed your expected value but also a risk that you may get a payout lower than that expected value
What will make the risks of an actuarially fair game increase?
If the stakes of the game increase, the risk increases because you lose more if you fail
Diagram of husband and wife expected value example
Check notes
What does the probability chord of an expected value diagram capture?
Shows the payoffs and utility possible from taking part in the game
What is the relation of utility on the chord to on the curve on a utility diagram for an actuarially fair game?
The utility achieved on the chord will be lower for certain payoffs than the utility for when that payoff is guaranteed because of the risk involved in taking part in the game
What shape is the utility curve for a risk averse person?
It will be convex, they have diminishing marginal utility of income -> as income increases the extra utility achieved will continue to decrease as income increases
What shape is the utility curve for a risk seeker?
It will be concave, where their utility of income increases as income increases -> this is very rare
What is expected utility?
It is the long term average utility achieved from taking part in a game
How is EU calculated?
Same was as EV -> sum of probabilities of achieving each outcome
Why may the answers for EU and EV differ?
The attitudes to risk are not factored into the EV calculations
What are the different attitudes to risk?
Averse, neutral and seeker
What attitude does a risk averse player have to an actuarially fair game?
They will not take part -> the level of utility of expected wealth > expected utility of wealth
What attitude does a risk neutral player have to an actuarially fair game?
They are indifferent about whether they play or not -> the level of utility of expected wealth = expected utility of wealth
What attitudes does a risk seeker have to an actuarially fair game?
They will take part -> the level of utility of expected wealth < expected utility of wealth
What attitude to risk is most common and why?
Risk averse is most common because economic agents prefer certainty to uncertainty
What will impact the level of risk aversion?
As the stakes/input increases, the level of aversion will increase because the risks increase