# トップPDF Midterm2 10 最近の更新履歴 yyasuda's website ### Midterm2 10 最近の更新履歴 yyasuda's website

(c) If a player randomizes pure strategies X and Y in a (mixed strategy) Nash equilibrium, she MUST be indi¤erent between choosing X and Y . 2. Monopoly (10 points) Suppose a monopoly …rm operates in two di¤erent markets, A and B. Inverse demand for each market is given as follows. ### PS2 最近の更新履歴 yyasuda's website

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 conditional input demand function for factors 1 and 2. (c) Suppose w 3 > ### 最近の更新履歴 yyasuda's website

るい ひとみ ひとみ ひとみ ひとみ あい あい あい あい 1 位 位 位 位 ともき ともき ともき ともき ともき ともき ともき ともき だいき だいき だいき だいき 2 位 位 位 位 こうき こうき こうき こうき こうき こうき こうき こうき ともき ともき ともき ともき 3 位 位 位 位 だいき だいき だいき だいき だいき だいき だいき だいき こうき こうき こうき こうき

70 さらに読み込む ### PS2 最近の更新履歴 yyasuda's website

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] ### PracticeM2 最近の更新履歴 yyasuda's website

Using this minimax theorem, answer the following questions. (b) Show that Nash equilibria are interchangeable; if and are two Nash equilibria, then and are also Nash equilibria. (c) Show that each player’s payo¤ is the same in every Nash equilibrium. ### PQ2 最近の更新履歴 yyasuda's website

Solve the following problems in Snyder and Nicholson (11th):. 1.[r] ### 最近の更新履歴 yyasuda's website

X c∈C max n 0, q τ(ˆ 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 cycle. Hence, ˆ ss rejected status for any school which ˆ s once proposed to cannot change to the non-rejected status by reproposal conditions (i) or (iii). Moreover, since a student s such that s ∈ S τ(ˆ s) and f (ˆ s) < f (s) cannot be assigned to a school which ˆ s prefers to her own assignment, reproposal condition (ii) does not apply to ˆ s. Therefore, ˆ s is always assigned to the same school in the cycle. Now we can separate the set of students who are always unfree because they do not change their assignments in the cycle. With the set of students who are always free in the cycle, only the reproposal condition (iii) could apply and it is when there was a reproposal before step t ′ . But a reproposal based on (iii) gives
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14 さらに読み込む ### Lec2 最近の更新履歴 yyasuda's website

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20 さらに読み込む ### Micro2 最近の更新履歴 yyasuda's website

How to Measure Welfare Change | 厚生変化をどうはかるか？ When the economic environment or market outcome changes, a consumer may be made better off ( 改善 ) or worse off ( 悪化 ). Economists often want to measure how consumers are affected by these changes, and have developed several tools for the assessment of welfare ( 厚生 ).

28 さらに読み込む ### Midterm2 14 最近の更新履歴 yyasuda's website

(c) Any finite game has at least one Nash equilibrium in pure strategies. 2. Expected Utility (16 points) Suppose that an individual can either exert effort or not. Her initial wealth is \$100 and the cost of exerting effort is c. Her probability of facing a loss \$75 (that is, her wealth becomes \$25) is 1 ### PS2 2 最近の更新履歴 yyasuda's website

4. Question 4 (5 points) Consider a game of election with asymmetric information among voters. Whether candidate A or candidate B is elected depends on the votes of two citizens (denoted by 1 and 2). The economy may be in one of two states, α and β. The citizens agree that candidate A is best if the state is α and candidate B is best if the state is β. The payoff for each citizen is symmetric and given as follows: 1 if the best candidate wins, 0 if the other candidate wins, and 1/2 if the candidates tie. Suppose that citizen 1 is informed of the true state, whereas citizen 2 believes it is α with probability 0.9 and β with probability 0.1. Each citizen may either vote for candidate A, vote for candidate B, or not vote.
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However, it is difficult to assess how reasonable some axioms are without having in mind a specific bargaining procedure. In particular, IIA and PAR are hard to defend in the abstract. Unless we can find a sensible strategic model that has an equilibrium corresponding to the Nash solution, the appeal of Nash’s axioms is in doubt.

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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

16 さらに読み込む ### PQ2 2 最近の更新履歴 yyasuda's website

Solve the following problems in Snyder and Nicholson (11th):. 1.[r] ### EX2 2 最近の更新履歴 yyasuda's website

Solve the following problems in Snyder and Nicholson (11th):. 1.[r] ### EX2 2 最近の更新履歴 yyasuda's website

Solve the following problems in Snyder and Nicholson (11th):. 1.[r] ### Lec2 2 最近の更新履歴 yyasuda's website

Proof of Pratt’s Theorem (1) Sketch of the Proof. To establish (i) ⇔ (iii), it is enough to show that P is positively related to r. Let ε be a “small” random variable with expectation of zero, i.e., E(ε) = 0. The risk premium P (ε) (at initial wealth x) is defined by

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Similarly, player 2 must be indi¤erent amongst choosing X and Y , which implies 4q + 6(1 q) = 7(1 q) , 5q = 1 , q = 1=5. Thus, the mixed-strategy equilibirum is that player 1 takes A with probability 1=5 (and B with probability 4=5) and player 2 takes X with probability 3=4 (and Y with probability 1=4). ### Lec2 最近の更新履歴 yyasuda's website

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 points of a set S is called boundary, and is denoted ∂S .

15 さらに読み込む ### PQ2 最近の更新履歴 yyasuda's website

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