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... Prisoners’ Dilemma: Analysis (3)
 (Silent, Silent) looks mutually beneficial outcomes, though  Playing Confess is optimal regardless of other player’s choice!  Acting optimally ( Confess , Confess ) rends up ... 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

... ◮ A lottery p is a function that assigns a nonnegative number to each prize s, where P s∈S p(s) = 1 (here p(s) is the objective probability of obtaining the prize s given the ... 完全なドキュメントを参照

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ここで Apple ’sの行動は Apple が Google の行動をどう予想 するかによって決まる
Google の最適な戦略は Google が「 Apple が Google の行動をどう予想するか」をどう予想するかによって 決まる ... 完全なドキュメントを参照

... A consumer has a utility function u(x, y, z) = min{x, y}+z. The prices of the three goods are given by (p x , p y , p z ) and the consumer’s wealth is given by ω. (a) Note that the utility function u can be ... 完全なドキュメントを参照

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政府（官僚組織、政治家）はどのように行動するのか？
政治の経済学 政治の経済学 政治の経済学 政治の経済学
私企業の中でなにが起こっているのか？
組織の経済学、企業統治（コーポレート・ガバナンス） 組織の経済学、企業統治（コーポレート・ガバナンス） ... 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

... 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

... 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

... where ; > 0. Let w 1 ; w 2 > 0 be the prices for inputs x 1 and x 2 respectively. Then, answer the following questions. (a) Sketch the isoquant for this technology. Hint: Isoquant is the combination ... 完全なドキュメントを参照

... Suppose that consumer i has preferences over the contingent consumption plans that satisfy expected utility hypothesis: U i (x i 1 , x i 2 ) = π 1 u i (x i 1 ) + π 2 u i (x i 2 ) where π 1 (π ... 完全なドキュメントを参照

... Pareto Efficiency (1) A situation is called Pareto efficient if there is no way to make someone better off without making someone else worse off. That is, there is no way to make all agents better off. To put it ... 完全なドキュメントを参照

... Second Welfare Theorem (1) Theorem 12 Consider an exchange economy with P i∈I e i ≫ 0, and assume that utility function u i is continuous, strongly increasing, and strictly quasiconcave for all i ∈ I. Then, any ... 完全なドキュメントを参照

... Second Welfare Theorem Theorem 9 Suppose the conditions stated in the existence theorem are satisfied. Let (x ∗ , y ∗ ) be a feasible Pareto efficient allocation. Then, there are income transfers, T 1 , ..., T I ... 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

... (! x ; ! y ) = (1; 1) (a) Assume there are only two individuals in this economy. Then, draw the Edgworth-box and show the contract curve. Find a general equilibrium (equilibrium price and allocation) if it ... 完全なドキュメントを参照

... (d) Solve the pro…t maximization problem in (c), and derive the pro…t function, (p; w 1 ; w 2 ). 4. Uncertainty (10 points) Suppose that an individual can either exert e¤ort or not. The cost of e¤ort is c. Her ... 完全なドキュメントを参照