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... When we analyze the demand for a single good (partial equilibrium study), it would be convenient to aggregate “all other goods”. A Consumer’s Problem (again)[r] ... 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

... ◮ 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 ... 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

... 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

... “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

... 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

... homeowners, 1 and 2, simultaneously choose how many hours to spend maintaining a beautiful lawn (denoted by l 1 and l 2 ...that 1’s payoff is expressed ... 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

... 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

... 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

... 3. Auction (14 points) Suppose that a seller auctions one object to two buyers, = 1, 2. The buyers submit bids simultaneously, and the buyer with higher bid receives the object. The loser pays nothing while the ... 完全なドキュメントを参照