トップPDF Lec3 最近の更新履歴 yyasuda's website

Lec3 最近の更新履歴  yyasuda's website

Lec3 最近の更新履歴 yyasuda's website

payoff) while M gives 1 irrespective of player 1’s strategy.   Therefore, M is eliminated by mixing L and R .   After eliminating M , we can further eliminate D (step 2) and L (step 3), eventually picks up ( U , R ) as a unique outcome.

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Lec3 最近の更新履歴  yyasuda's website

Lec3 最近の更新履歴 yyasuda's website

複雑なゲームとはいったい何か?  今まで扱ってきたゲーム共通点 1. ゲームを利得表で表すことができた ゲームを利得表で表すことができた ゲームを利得表で表すことができた ゲームを利得表で表すことができた 2. ナッシュ均衡が(ひとつは)必ず存在した ナッシュ均衡が(ひとつは)必ず存在した ナッシュ均衡が(ひとつは)必ず存在した ナッシュ均衡が(ひとつは)必ず存在した

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Lec3 最近の更新履歴  yyasuda's website

Lec3 最近の更新履歴 yyasuda's website

M P 1 : max q≥0 p(q)q − c(q). where p(q)q is a revenue and c(q) is a cost when the output is fixed to q. Let π(q) = p(q)q − c(q) denote the revenue function. Assume that the firm’s objective function π(q) is convex and differentiable. Then, the first order condition is:

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Lec3 最近の更新履歴  yyasuda's website

Lec3 最近の更新履歴 yyasuda's website

1. continuous at a point x 0 if, for all ε > 0, there exists δ > 0 such that d(x, x 0 ) < δ implies that d(f (x), f (x 0 )) < ε. 2. continuous if it is continuous at every point in its domain. 3. uniformly continuous if, for all ε > 0, there exists δ > 0 such

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MOF Lec3 最近の更新履歴  yyasuda's website

MOF Lec3 最近の更新履歴 yyasuda's website

 Klemperer (2002), “How (not) to Run Auctions: The European 3G Telecom Auctions,” European Economic Review.  Milgrom (2004) Putting Auction Theory to Work Cambridge U Press[r]

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Lec3 最近の更新履歴  yyasuda's website

Lec3 最近の更新履歴 yyasuda's website

Randomized Strategies  No strategy looks to be dominated…  If a player 2 randomizes L and R with 50% each, then  Such mixed (randomized) strategy yields 1.5 (as an expected payoff) while M gives 1 irrespective of player 1’s strategy.

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Final 最近の更新履歴  yyasuda's website

Final 最近の更新履歴 yyasuda's website

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 winner pays the average of the two bids b + b

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Midterm 最近の更新履歴  yyasuda's website

Midterm 最近の更新履歴 yyasuda's website

Three Firms (1, 2 and 3) put three items on the market and can advertise these products either on morning (= M ) or evening TV (= E). A firm advertises exactly once per day. If more than one firm advertises at the same time, their profits become 0. If exactly one firm advertises in the morning, its profit is 1; if exactly one firm advertises in the evening, its profit is 2. Firms must make their daily advertising decisions simultaneously.

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en 最近の更新履歴  yyasuda's website

en 最近の更新履歴 yyasuda's website

Introduction to Market Design and its Applications to School Choice.. Yosuke YASUDA.[r]

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PracticeM 最近の更新履歴  yyasuda's website

PracticeM 最近の更新履歴 yyasuda's website

(b) If consumer’s choice satis…es the weak axiom of revealed preferences, we can always construct a utility function which is consistent with such choice behav- iour. (c) If a consumer problem has a solution, then it must be unique whenever the consumer’s preference relation is convex.

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PQ2 3 最近の更新履歴  yyasuda's website

PQ2 3 最近の更新履歴 yyasuda's website

Solve the following problems in Snyder and Nicholson (11th):. 1.[r]

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PS2 3 最近の更新履歴  yyasuda's website

PS2 3 最近の更新履歴 yyasuda's website

(a) Characterize the first-best solution. (b) Suppose that the seller cannot observe θ: θ ∈ {θ L , θ H } and Pr[θ = θ L ] = β with 0 < θ L < θ H . Set up the seller’s optimization problem under this asymmetric information structure.

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PracticeF 最近の更新履歴  yyasuda's website

PracticeF 最近の更新履歴 yyasuda's website

Q = K 1 =4 L 1 =8 Then, answer the following questions. (a) In the short run, the …rm is committed to hire a …xed amount of capital K(+1), and can vary its output Q only by employing an appropriate amount of labor L . Derive the …rm’s short-run total, average, and marginal cost functions. (b) In the long run, the …rm can vary both capital and labor. Derive the …rm’s

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Lec10 最近の更新履歴  yyasuda's website

Lec10 最近の更新履歴 yyasuda's website

   If the stage game has a unique NE, then for any T , the finitely repeated game has a unique SPNE: the NE of the stage game is played in every stage irrespective of the histor[r]

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Nobel2015 最近の更新履歴  yyasuda's website

Nobel2015 最近の更新履歴 yyasuda's website

安田予想で未受賞候補者たち   Robert Barro (1944-, マクロ、成長理論) → イチオシ!   Elhanan Helpman (1946-, 国際貿易、成長) → 誰ともらうか?   Paul Milgrom (1948-, 組織経済学、オークション) → 今年は厳しい…   Ariel Rubinstein (1951-, ゲーム理論) → 今年は厳しそう…

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MarketDesign en 最近の更新履歴  yyasuda's website

MarketDesign en 最近の更新履歴 yyasuda's website

  Exist exactly one for ANY exchange problem.   Always Pareto efficient and individually rational[r]

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Lec9 最近の更新履歴  yyasuda's website

Lec9 最近の更新履歴 yyasuda's website

3(a - e)/4, is greater than aggregate quantity in the Nash equilib- rium of the Cournot game, 2(a - e)/3, so the market-clearing price is lower in the Stackelberg game.. Thus, i[r]

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Lec8 最近の更新履歴  yyasuda's website

Lec8 最近の更新履歴 yyasuda's website

  A tree starts with the initial node and ends at.. terminal nodes where payoffs are specified..[r]

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Lec7 最近の更新履歴  yyasuda's website

Lec7 最近の更新履歴 yyasuda's website

  A strategy in dynamic games is a complete action plan which prescribes how the player will act in each possible.. contingencies in future..[r]

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Lec5 最近の更新履歴  yyasuda's website

Lec5 最近の更新履歴 yyasuda's website

elimination of strictly dominated strategies can never be selected (with positive probability) in a mixed-strategy Nash equilibrium.[r]

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