トップPDF Lec1 13 最近の更新履歴 yyasuda's website

Lec1 13 最近の更新履歴  yyasuda's website

Lec1 13 最近の更新履歴 yyasuda's website

An aggregate production plan y maximizes aggregate profit, if and only if each firm’s production plan y j maximizes its individual profit for all j ∈ J. The theorem implies that there are two equivalent ways to construct the aggregate net supply function:

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Final1 13 最近の更新履歴  yyasuda's website

Final1 13 最近の更新履歴 yyasuda's website

(a) If a consumer’s preference satisfies completeness and transitivity, her prefer- ence can be ALWAYS represented by some utility function. (b) It is POSSIBLE that an expenditure function is a convex function of prices. (c) If the utility function is quasi-linear, the compensating variation is ALWAYS

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Lec1 最近の更新履歴  yyasuda's website

Lec1 最近の更新履歴 yyasuda's website

囚人ジレンマ:注意点  このゲームでは個々プレーヤーが最適戦略を持つ  【最適戦略(支配戦略)】 他プレーヤーたちがどのような行 動を選択しても、自分がある特定行動Aを選ぶことによって 利得が最大化されるとき、行動Aを「支配戦略」と呼ぶ。

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Midterm 最近の更新履歴  yyasuda's website

Midterm 最近の更新履歴 yyasuda's website

Ann and Bob are in an Italian restaurant, and the owner offers them a free 3- slice pizza under the following condition. Ann and Bob must simultaneously and independently announce how many slice(s) she/he would like: Let a and b be the amount of pizza requested by Ann and Bob, respectively (you can assume that a and b are integer numbers between 1 and 3). If a + b ≤ 3, then each player gets her/his requested demands (and the owner eats any leftover slices). If a + b > 3, then both players get nothing. Assume that each players payoff is equal to the number of slices of pizza; that is, the more the better.
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PS1 最近の更新履歴  yyasuda's website

PS1 最近の更新履歴 yyasuda's website

(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 rationalizes the above data, and verify that % fails to satisfy transitivity.

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PQ1 最近の更新履歴  yyasuda's website

PQ1 最近の更新履歴 yyasuda's website

Solve the following problems in Snyder and Nicholson (11th):. 1.[r]

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PS1 最近の更新履歴  yyasuda's website

PS1 最近の更新履歴 yyasuda's website

(a) Show that if 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 r. (b) Show that if u(x 1 , x 2 ) and v(x 1 , x 2 ) are quasi-concave, then m(x 1 , x 2 ) := min{u(x 1 , x 2 ), v(x 1 , x 2 )} is also quasi-concave.

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Micro1 最近の更新履歴  yyasuda's website

Micro1 最近の更新履歴 yyasuda's website

◮ A set S in R n is called compact if it is closed ( 閉 ) and bounded. Thm A1.10 (Weierstrass) Existence of Extreme Values Let f : S → R be a continuous real-valued function where S is a non-empty compact subset of R n . Then f has its maximum and minimum values. That

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Lec1 最近の更新履歴  yyasuda's website

Lec1 最近の更新履歴 yyasuda's website

“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]

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PS1 最近の更新履歴  yyasuda's website

PS1 最近の更新履歴 yyasuda's website

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 that if U is quasi-concave, V is concave. 5. Question 5 (4 points)

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PQ1 最近の更新履歴  yyasuda's website

PQ1 最近の更新履歴 yyasuda's website

Solve the following problems in Snyder and Nicholson (11th):. 1.[r]

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EX1 最近の更新履歴  yyasuda's website

EX1 最近の更新履歴 yyasuda's website

Solve the following problems in Snyder and Nicholson (11th):. 1.[r]

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PS1 最近の更新履歴  yyasuda's website

PS1 最近の更新履歴 yyasuda's website

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 that if U is quasi-concave, V is concave. 5. Question 5 (4 points)

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Final 最近の更新履歴  yyasuda's website

Final 最近の更新履歴 yyasuda's website

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’ products are differentiated. After the prices are set, consumers demand A − p 1 + p 2

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Lec2 1 最近の更新履歴  yyasuda's website

Lec2 1 最近の更新履歴 yyasuda's website

each prize s, where P s∈S p(s) = 1 (here p(s) is the objective probability of obtaining the prize s given the lottery p). Let α ◦ x ⊕ (1 − α) ◦ y denote the lottery in which the prize x is realized with probability α and the prize y with 1 − α. Denote by L(S) the (infinite) space containing all lotteries

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Final1 12 最近の更新履歴  yyasuda's website

Final1 12 最近の更新履歴 yyasuda's website

4. Exchange Economy (12 points) Consider the following exchange economies with two agents and two goods. Derive competitive equilibrium prices and allocations in each case. (a) Two agents, 1 and 2, have the following indirect utility functions: v 1 (p 1 , p 2 , ω ) = ln ω − a ln p 1 − (1 − a) ln p 2

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Midterm1 14 最近の更新履歴  yyasuda's website

Midterm1 14 最近の更新履歴 yyasuda's website

(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

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Final1 14 最近の更新履歴  yyasuda's website

Final1 14 最近の更新履歴 yyasuda's website

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

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en 最近の更新履歴  yyasuda's website

en 最近の更新履歴 yyasuda's website

Introduction to Market Design and its Applications to School Choice.. Yosuke YASUDA.[r]

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PS2 1 最近の更新履歴  yyasuda's website

PS2 1 最近の更新履歴 yyasuda's website

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 third-degree price discrimination. Group A’s elasticity of demand is ǫ A and

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