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... Preferences To construct a model of individual choice, the notion of preferences plays a central role in economic theory, which specifies the form of consistency or inconsistency in the person’s choices. We view ... 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

... (1) Write the payoff functions π 1 and π 2 (as a function of p 1 and p 2 ). (2) Derive the best response function for each player. (3) Find the pure-strategy Nash equilibrium of this game. (4) Derive ... 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

... (a) Show that the above data satisfy the Weak Axiom of revealed preference. (b) Show that this consumer’s behavior cannot be fully rationalized. Hint: Assume there is some preference relation % that fully ... 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

... A function f (x) is homothetic if f (x) = g(h(x)) where g is a strictly increasing function and h is a function which is homogeneous of degree 1. Suppose preferences can be represented by a homothetic utility ... 完全なドキュメントを参照

... (d) If the relative risk aversion of some risk averse decision maker is independent of her wealth, then her absolute risk aversion MUST be decreasing in wealth.. (e) The competitive equi[r] ... 完全なドキュメントを参照

... Consider the following exchange economies with two agents and two goods. Derive competitive equilibrium prices (price ratio) and allocations in each case. (a) Two agents, a and b, have the following indirect utility ... 完全なドキュメントを参照

... Suppose that the decision maker’s preferences under uncertainty are described by the vNM utility function, u(x) = √ x. (a) Is the decision maker risk-averse, risk-neutral, or risk-loving? Explain why. (b) ... 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

... u(x, y) = xy (a) Set up the utility maximization problem. (b) Solve this utility maximization problem. (c) The health authorities are putting up a program to cut down alcohol consump- tion. They propose a quota that ... 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

... “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) 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