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... Arrow-Debreu Equilibrium (1) In principle, time/date can be incorporated in the state of nature. Consider an exchange economy with I agents and K goods: Distinguish two dates: date 0 (ex ante), date 1 (ex ... 完全なドキュメントを参照

... 現象 プレイヤー プレイヤー プレイヤー プレイヤー 「協力」 「協力」 「協力」 「協力」 「裏切り」 「裏切り」 「裏切り」 「裏切り」 軍拡競争 国 軍縮 軍拡 国際貿易政策 国 関税引き下げ 税率据え置き 男女間の協力 カップル 相手に従う 相手に要求 ... 完全なドキュメントを参照

... (a) The intersection of any pair of open sets is an open set. (b) The union of any (possibly infinite) collection of open sets is open. (c) The intersection of any (possibly infinite) collection of closed sets is closed. ... 完全なドキュメントを参照

... (a) If a consumer’s preference is complete and transitive, her demand behaviors always satisfy the weak axiom of revealed preference. (b) Even if a firm’s technology shows increasing return to scale, the ... 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

... Suppose % is a preference relation on X. Then, show the followings. (a) Re‡exive: For any x 2 X, x x. (b) Transitive 1: For any x; y; z 2 X, if x y and y z, then x z. (c) Transitive 2: For any x; y; z 2 X, if x y ... 完全なドキュメントを参照

... 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 ... 完全なドキュメントを参照

... where x is a vector of choice variables, and a := (a 1 , ..., a m ) is a vector of parameters ( パラメータ ) that may enter the objective function and constraint. Suppose that for each vector a, the solution is unique ... 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

... Lotteries (1) We consider preferences and choices over the set of “lotteries.” Let S be a set of consequences (prizes). We assume that S is a finite set and the number of its elements (= |S|) is S. A lottery p is ... 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

... 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

... 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

... 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