... • 462 頁,補題 30.1 の証明.最初の文は「ある集団 G が x を y の上に置く半決定権を持つとする. G が x を z の上に置く決定権を持つことをしめすため,全ての i ∈ G について . . . 」とした方が見通しがい いだろう.導きたい結論はその証明の 3 段落目の最後にある xP (!)z である. 次に,「 z ...
... Dual Problem - Theory | 双対問題 - 理論 (3) Thm Suppose the consumer’s preference is continuous, monotone and strictly convex. Then, we have the following relations between the Hicksian and Marshallian demand functions for p ...
... Problem Set 2: Posted on November 18 Advanced Microeconomics I (Fall, 1st, 2013) 1. Question 1 (7 points) A real-valued function f (x) is called homothetic if f (x) = g(h(x)) where g : R → R is a strictly ...
... Problem Set 2: Due on May 14 Advanced Microeconomics I (Spring, 1st, 2013) 1. Question 1 (6 points) (a) Suppose the utility function is continuous and strictly increasing. Then, show that the associated indirect ...
... Open Set and Closed Set (2) Boundary and interior ◮ A point x is called a boundary point of a set S in R n if every ε-ball centered at x contains points in S as well as points not in S. The set of all boundary ...
... Constant Absolute Risk Aversion Def We say that preference relation % exhibits invariance to wealth if (x + p 1 ) % (x + p 2 ) is true or false independent of x. Thm If u is a vNM continuous utility function ...
... Problem Set 2: Posted on November 4 Advanced Microeconomics I (Fall, 1st, 2014) 1. Question 1 (7 points) A real-valued function f (x) is called homothetic if f (x) = g(h(x)) where g : R → R is a strictly ...
... 5. Mixed Strategy (20 points) Consider a patent race game in which a “weak” firm is given an endowment of 4 and a “strong” firm is given an endowment of 5, and any integral amount of the endowment could be invested in a ...
... Problem Set 2: Due on May 10 Advanced Microeconomics I (Spring, 1st, 2012) 1. Question 1 (2 points) Suppose the production function f satisfies (i) f (0) = 0, (ii) increasing, (iii) con- tinuous, (iv) ...
... Get up early, you can catch the first train. (2) If you don't get up early, you will be late for school. Get up early, you will be late for school. 問題 次 日本文 あう英文 よう ( )内 語(句) 並べ え さい ...