transect. We now assume that Y i is a random variable having a Poisson distribution Po( λ L i ), where the parameter λ has a
specific meaning of encounter rate of dolphins per nautical mile. For estimating the parameter of interest λ , we propose the following type of estimator,
4. Auctions (30 points)
Suppose that the government auctions one block of radio spectrum to two risk neu- tral mobile phone companies, i = 1, 2. The companies submit bids simultaneously, and the company with higher bid receives a spectrum block. The loser pays nothing while the winner pays a weighted average of the two bids:
Suppose that consumer i has preferences over the contingent consumption plans that satisfy expected utility hypothesis:
U i (x i 1 , x i 2 ) = π 1 u i (x i 1 ) + π 2 u i (x i 2 )
where π 1 (π 2 ) is the objective probability of nice (bad) weather.
(a) Suppose % is represented by utility function u(·). Then, u(·) is quasi-concave IF AND ONLY IF % is convex.
(b) Marshallian demand function is ALWAYS weakly decreasing in its own price. (c) Lagrange’s method ALWAYS derives optimal solutions for any optimization
is increasing in x 1 , the marginal
product of x 2 must be negative.
(c) Let (x, p) be a competitive equilibrium. Suppose u i (y i ) > u i (x i ) for some
bundle y i . Then show that p · y i > p · x i . Does this depend on whether utility
where u i (x, θ i ) is the money-equivalent value of alternative x ∈ X.
This assumes the case of private values in which player i’s payoff does not depend directly on other players’ types. If it does, then it is called common values case. The outcome (of the mechanism) is described by
Three firms (1, 2 and 3) put three items on the market and can advertise these products either on morning (= M ) or evening TV (= E). A firm advertises exactly once per day. If more than one firm advertises at the same time, their profits become 0. If exactly one firm advertises in the morning, its profit is 1; if exactly one firm advertises in the evening, its profit is 2. Firms must make their daily advertising decisions simultaneously.
New encounters, separations, and reunions. Bearing the severe cold while going through various interweaving of suffering and complicated emotions, the beautiful final scene of the cherry blossoms makes me want to watch it again. 記事 ： 吉川ゆかり 翻 訳 ： エ リ ッ ク ・ チ ャ ン Arti cle: Yukari Yoshikawa Tra n s l a t i o n : E r i c C h a n