... Explain. (b) Show that any risk averse decision maker whose preference satisfies indepen- dence axiom must prefer L 2 to L 3 . 3. Question 3 (4 points) Suppose a monopolist with constant marginal costs prac- tices ...
... c s) − |ν l τ(ˆ s) (c) \ {ˆ s}| o holds for any step l in the cycle, at any school c which ˆ s is admitted, q τ(ˆ c s) = |ν l τ(ˆ s) (c)| holds for any step l in the ...ˆ ...
... Substituting into p+q = 3=4, we achieve q = 1=2. Since the game is symmetric, we can derive exactly the same result for Player 1’s mixed action as well. Therefore, we get the mixed-strategy ...
... that a plea bargain is allowed): If both confess, each receives 3 years imprisonment. If neither confesses, both receive 1 year. If one confesses and the other one does not, the former will be set free ...
... all s i ∈ S i , which is identical to Nash equilibrium ...equilibrium s ∗∗ 6= s ∗ . Pick player j with s ∗∗ j 6= s ∗ j ...Since s ∗∗ j is a Nash equilibrium ...
... A good is called normal (resp. inferior) if consumption of it increases (resp. declines) as income increases, holding prices constant.. Show the following claims.[r] ...
... e z . The prices of the three goods are given by (p, q, 1) and the consumer’s wealth is given by ω. (a) Formulate the utility maximization problem of this consumer. (b) Note that this consumer’s ...
... St Petersburg Paradox (1) The most primitive way to evaluate a lottery is to calculate its mathematical expectation, i.e., E[p] = P s∈S p(s)s. Daniel Bernoulli first doubt this approach in ...
... with x = (y, z) where y is a scalar, z is an n-dimensional consumption vector, and V (·) is a real valued function. The consumption set X = R n +1 + . (a) Show that if V is concave, U is quasi-concave. (b) Show ...
... with x = (y, z) where y is a scalar, z is an n-dimensional consumption vector, and V (·) is a real valued function. The consumption set X = R n+1 + . (a) Show that if V is concave, U is quasi-concave. (b) Show ...
... or u i ( i ; i ) u i (s i ; i ) for all s i 2 S i . (2) 7. Mixed strategies: Application A crime is observed by a group of n people. Each person would like the police to be informed but ...
... with x = (y, z) where y is a scalar, z is an n-dimensional consumption vector, and V (·) is a real valued function. The consumption set X = R n+1 + . (a) Show that if V is concave, U is quasi-concave. (b) Show ...
... Let w = (w 1 , w 2 , w 3 , w 4 ) ≫ 0 be factor prices and y be an (target) output. (a) Does the production function exhibit increasing, constant or decreasing returns to scale? Explain. (b) Calculate the ...