[PDF] Top 20 Lec1 12 最近の更新履歴 yyasuda's website

... for i = 1, · · · , n. We now have to show that p ∗ is a competitive equilibrium. Using Warlas’ law, we can show that z i (p ∗ ) = 0 for all i. It is common to show the existence of equilibrium by applying a ... 完全なドキュメントを参照

... i (p, u) denote the Hicksian demand function of good i and e(p, u) denote the expenditure function. Then, state the Shephard’s lemma. (c) Using envelope theorem, derive either (a) Roy’s identity, or (b) ... 完全なドキュメントを参照

... いよいよゲーム理論の中身を見ていこう！
まずは1時点の（静学的な）ゲームを分析
各プレイヤーは独立かつ同時に戦略を決定
相手の決定を知らずに自分の戦略を決めるような状況
決定のタイミングは文字通り“同時”である必要は無い！ ... 完全なドキュメントを参照

... homeowners, 1 and 2, simultaneously choose how many hours to spend maintaining a beautiful lawn (denoted by l 1 and l 2 ...that 1’s payoff is expressed ... 完全なドキュメントを参照

... (a) Show that the above data satisfy the Weak Axiom of revealed preference. (b) Show that this consumer’s behavior cannot be fully rationalized. Hint: Assume there is some preference relation % that fully ... 完全なドキュメントを参照

... Solve the following problems in Snyder and Nicholson (11th):. 1.[r] ... 完全なドキュメントを参照

... u(x 1 , x 2 ) and v(x 1 , x 2 ) are both homogeneous of degree r, then s (x 1 , x 2 ) := u(x 1 , x 2 ) + v(x 1 , x 2 ) is also homogeneous of degree ...u(x 1 , x 2 ) and ... 完全なドキュメントを参照

... More on Roy’s Identity | もっとロアの恒等式 Roy’s identity says that the consumer’s Marshallian demand for good i is simply the ratio of the partial derivatives of indirect utility with respect to p i ... 完全なドキュメントを参照

... “Soon after Nash ’s work, game-theoretic models began to be used in economic theory and political science,. and psychologists began studying how human subjects behave in experimental [r] ... 完全なドキュメントを参照

... 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 ... 完全なドキュメントを参照

... Solve the following problems in Snyder and Nicholson (11th):. 1.[r] ... 完全なドキュメントを参照

... Solve the following problems in Snyder and Nicholson (11th):. 1.[r] ... 完全なドキュメントを参照

... 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 ... 完全なドキュメントを参照

... 2. Duopoly Game (20 points) Consider a duopoly game in which two firms, denoted by Firm 1 and Firm 2, simultaneously and independently select their own prices, p 1 and p 2 , respectively. The firms’ ... 完全なドキュメントを参照

... Introduction to Market Design and its Applications to School Choice.. Yosuke YASUDA.[r] ... 完全なドキュメントを参照

... 2 α ◦ x ⊕ (1 − α) ◦ y ∼ (1 − α) ◦ y ⊕ α ◦ x: The consumer does not care about the order in which the lottery is described. 3 β ◦ (α ◦ x ⊕ (1 − α) ◦ y) ⊕ (1 − β) ◦ y ∼ (βα) ◦ x ⊕ (1 − ... 完全なドキュメントを参照

... 6. General Equilibrium (30 points) Consider a production economy with two individuals, Ann (A) and Bob (B), and two goods, leisure x 1 and a consumption good x 2 . Ann and Bob have equal en- dowments of time (= ω ... 完全なドキュメントを参照

... (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 ... 完全なドキュメントを参照

... 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 ... 完全なドキュメントを参照

... [0, 1] such that v(s) ◦ M ⊕ (1 − v(s)) ◦ m ∼ [s] where [s] is a certain lottery with prize s, ...= 1 ◦ s. In particular, v(M ) = 1 and v(m) = ... 完全なドキュメントを参照