[PDF] Top 20 Lec1 4 最近の更新履歴 yyasuda's website

... R n + := {(x 1 , ..., x n )|x i ≥ 0, i = 1, ..., n} ⊂ R n . For any x, y ∈ X, x % y means x is at least as preferred as y. Consumption set contains all conceivable alternatives. A budget set is a set of ... 完全なドキュメントを参照

... u(x 1 ; x 2 ) = x 1 + x 2 with ; > 0, then % satis…es the above three ...is 1) Additive and Strictly monotone but not Continuous, and 2) Strictly monotone and Continuous but not ... 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

... (a) Derive all pure strategy Nash equilibria. (b) Show that the following type of Nash equilibria does NOT exist: One firm chooses pure strategy M , and other two firms use mixed strategies. (c) Derive a symmetric mixed ... 完全なドキュメントを参照

... , s − i ) > u i (s i , s − i ) for all s − i ∈ S − i ...strategy s ′ i is a weakly dominant strategy if playing s ′ i is optimal for any combination of other players’ ... 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

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【戦略】 個々のプレイヤーがとることのできる行動
【利得】 起こり得る行動の組み合わせに応じた満足度、効用 Q: ゲームの解（予測）はどうやって与えられる？ A: 実はノイマン達は一般的な解を生み出せなかった… ... 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

... (b) Does this production function display increasing, constant, or decreasing re- turns to scale? Explain why. (c) Formulate the cost minimization problem (you may denote a target output level by y). Then, solve it and ... 完全なドキュメントを参照

... 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 ... 完全なドキュメントを参照

... endowment of time is 2ω 1 units. There is no (initial) endowment of consumption good. Each individual has a common utility function U (x) = ln x 1 + 2a ln x 2 . Sup- pose that only Ann owns the firm and its ... 完全なドキュメントを参照

... problem with equality constraints. 2. Consumer Theory (30 points) A consumer gets utility from 2 sources: drinking (measured in liters x) and time spent on the phone (measured in hours y). Each liter of drink costs ... 完全なドキュメントを参照

... vNM Utility Function (1) Note the function U is a utility function representing the preferences on L(S) while v is a utility function defined over S, which is the building block for the construction of U (p). We ... 完全なドキュメントを参照

... 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 ... 完全なドキュメントを参照

... Consider a consumer problem. Suppose that a choice function x(p; !) satis…es Walras’s law and WA. Then, show that x(p; !) is homogeneous of degree zero. 6. Lagrange’s Method You have two …nal exams ... 完全なドキュメントを参照

... long-run total, average, and marginal cost functions. 7. Expected Utility Suppose that an individual can either exert e¤ort or not. The cost of e¤ort is c. Her initial wealth is 100. Her probability of facing a loss 75 ... 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