11 - Choice Under Uncertainty And Economics Of Information Flashcards
What is expected value, E(v)
The sum of all possible outcomes, weighted by its respective probability of occurrence
- E.g. toss a coin with a win of £1 and a loss of £1, has an expected value of:
E(v) = 0.5 (1) + 0.5 (-1) = 0
This is fair game
What is fair game
A game with an expected value of 0
When it comes to decision making, what do we base our decisions off
Expected utility, not expected value
What is expected utility, E(u)
Expected utility of a gamble is the expected value of utility over all possible outcomes
- People choose the alternative that has the highest expected utility
Diminishing marginal utility
Marginal utility decreases as wealth rises
- E (u) = pu (x1) + p2 u (x2) +…+ pu (xn)
Types of preferences towards risk
- Risk neutral = Indifferent about taking a fair game (Constant marginal utility)
- Risk averse = Unwilling to take a fair game (Hates risk, diminishing marginal utility)
- Risk lover = Willing to take a fair game (Loves risk, increasing marginal utility)
What does risk averse graph look like
- A concave utility function
- Curve start off steep from origin, then flattens out (diminishing marginal utility)
- The line goes underneath the curve, which you find expected marginal utility
- If initial income (utility) is higher than expected utility, don’t play game
- E.g. marginal utility = If thirsty, 1st glass of water will have highest utility compared to the 2nd, 3rd, 4th glass of water
What does Risk lover graph look like
- Convex utility function
- Curve starts off flat then curves up (increasing marginal utility)
- The line goes above the curve
- Expected utility is higher than initial utility of income, therefore would take the game
What does Risk neutral graph look like
- Linear utility function
- Straight diagonal line upwards from the origin
- Expected utility is same as initial utility of income
- Make decision off of expected value as they have linear utility function
What’s symmetric and asymmetric information
- Symmetric information = Both sides of the market know what product is being traded - have the same information about the product
- Asymmetric information = One side of the market has more information about the product being traded than the other
- Causes market failure, as imbalance of power
All applications of asymmetric information are examples of what
Principal agent problem
What is principal agent problem, and principal and agent
- Principal agent problem = A principal ‘employs’ an agent to do a job for him
- Principal = Player is offering the contract in a principal agent model
- Agent = Player who performs under the terms of the contract in the principal agent model
- Agent has private information about their action
2 types of problems due to asymmetric information
- Adverse selection
- Moral hazard
What is adverse selection
- When one party tends to enter a transaction where they can use information unknown to other parties
- They use this information for their own advantage and as a disadvantage of the less informed party - Before or during the transaction
What is moral hazard
When the informed party takes action that harms the less informed party through an unobserved action - After the transaction
- Change In behaviour by someone who enters a contract due to having entered the contract