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... (b) Revenue equivalence theorem claims that the equilibrium bidding strategy under the …rst-price auction is ALWAYS identical to the one under the second- price auction. (c) EVERY perfect Bayesian equilibrium is a weak ... 完全なドキュメントを参照

... (c) If a player randomizes pure strategies X and Y in a (mixed strategy) Nash equilibrium, she MUST be indi¤erent between choosing X and Y . 2. Monopoly (10 points) Suppose a monopoly …rm operates in two ... 完全なドキュメントを参照

... or u i ( i ; i ) u i (s i ; i ) for all s i 2 S i . (2) 7. Mixed strategies: Application A crime is observed by a group of n people. Each person would like the police to be informed but ... 完全なドキュメントを参照

... justifiably claim an empty slot under ν k . End: The algorithm ends when there is no student who is unassigned or whose assigned school is not the most preferable one among the schools for which she is in the ... 完全なドキュメントを参照

... るい ひとみ ひとみ ひとみ ひとみ あい あい あい あい 1 位 位 位 位 ともき ともき ともき ともき ともき ともき ともき ともき だいき だいき だいき だいき 2 位 位 位 位 こうき こうき こうき こうき こうき こうき こうき こうき ともき ともき ともき ともき 3 位 位 位 位 だいき だいき だいき だいき だいき だいき だいき だいき こうき こうき こうき こうき ... 完全なドキュメントを参照

... A good is called normal (resp. inferior) if consumption of it increases (resp. declines) as income increases, holding prices constant.. Show the following claims.[r] ... 完全なドキュメントを参照

... Problem Set 2: Due on May 10 Advanced Microeconomics I (Spring, 1st, 2012) 1. Question 1 (2 points) Suppose the production function f satisfies (i) f (0) = 0, (ii) increasing, (iii) con- tinuous, ... 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

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すべてのプレーヤーに支配戦略が無いゲームでも解け る場合がある
「支配される戦略の逐次消去」（後述）
（お互いの行動に関する）「正しい予想の共有＋合理性」 によってナッシュ均衡は実現する！ ... 完全なドキュメントを参照

... How to Measure Welfare Change | 厚生の変化をどうはかるか？ When the economic environment or market outcome changes, a consumer may be made better off ( 改善 ) or worse off ( 悪化 ). Economists often want to measure how consumers ... 完全なドキュメントを参照

... Substituting into p+q = 3=4, we achieve q = 1=2. Since the game is symmetric, we can derive exactly the same result for Player 1’s mixed action as well. Therefore, we get the mixed-strategy Nash ... 完全なドキュメントを参照

... Two players, 1 and 2, each own a house. Each player i values her own house at v i and this is private information. The value of player i’s house to the other player j(6= i) is 3 2 v i . The values v ... 完全なドキュメントを参照

... (c) Any finite game has at least one Nash equilibrium in pure strategies. 2. Expected Utility (16 points) Suppose that an individual can either exert effort or not. Her initial wealth is $100 and the cost of ... 完全なドキュメントを参照

... However, it is difficult to assess how reasonable some axioms are without having in mind a specific bargaining procedure. In particular, IIA and PAR are hard to defend in the abstract. Unless we can find a sensible ... 完全なドキュメントを参照

... where u i (x, θ i ) is the money-equivalent value of alternative x ∈ X. This assumes the case of private values in which player i’s payoff does not depend directly on other players’ types. If it does, then it is ... 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

... Solve the following problems in Snyder and Nicholson (11th):. 1.[r] ... 完全なドキュメントを参照

... Proof of Pratt’s Theorem (1) Sketch of the Proof. To establish (i) ⇔ (iii), it is enough to show that P is positively related to r. Let ε be a “small” random variable with expectation of zero, i.e., E(ε) = 0. The ... 完全なドキュメントを参照

... Problem Set 2: Due on May 14 Advanced Microeconomics I (Spring, 1st, 2013) 1. Question 1 (6 points) (a) Suppose the utility function is continuous and strictly increasing. Then, show that the associated indirect ... 完全なドキュメントを参照