# トップPDF syllabus game15 最近の更新履歴 yyasuda's website

### syllabus game15 最近の更新履歴 yyasuda's website

1. Course Description    This  is  an  introductory  course  in  game  theory,  which  will  provide  you  with  mathematical  tools  for  analyzing  strategic  situations  ‐  your  optimal  decision  depends  on what other people will do. In particular, we will study central solution concepts in  game  theory  such  as  Nash  equilibrium,  subgame  perfect  equilibrium,  and  Bayesian  equilibrium. Game theory has been widely recognized as an important analytical tool  in such fields as economics, management, political science, phycology and biology. To  illustrate  its  analytical  value,  we  will  cover  a  variety  of  applications  that  include  international relations, development, business competition, auctions, marriage market,  and  so  forth.  There  is  no  prerequisite  for  this  course,  although  some  background  on  microeconomics and familiarity of probabilistic thinking would be helpful.
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### 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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### Final 最近の更新履歴 yyasuda's website

2. Duopoly Game (20 points) Consider a duopoly game in which two firms, denoted by Firm 1 and Firm 2, simultaneously and independently select their own prices, p 1 and p 2 , respectively. The firms’ products are differentiated. After the prices are set, consumers demand A − p 1 + p 2

### 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

### 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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### 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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### 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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### 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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### Midterm 最近の更新履歴 yyasuda's website

Two neighboring homeowners, 1 and 2, simultaneously choose how many hours to spend maintaining a beautiful lawn (denoted by l 1 and l 2 ). Since the appearance of one’s property depends in part on the beauty of the surrounding neighborhood, homeowner’s benefit is increasing in the hours that neighbor spends on his own lawn. Suppose that 1’s payoff is expressed by

### Lec7 最近の更新履歴 yyasuda's website

Strategy and Outcome     Strategy in dynamic game = Complete plan of actions   What each player will do in every possible chance of move.   Even if some actions will not be taken in the actual play, players specify all contingent action plan.

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### 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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### Lec4 最近の更新履歴 yyasuda's website

   Both the Bertrand and Cournot models are particular cases of a more general model of oligopoly competition where firms choose prices and quantities (or capacities.).   Ber[r]

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### Lec3 最近の更新履歴 yyasuda's website

1. Rationality    Players can reach Nash equilibrium only by rational reasoning in some games, e.g., Prisoners’ dilemma.    However, rationality alone is often insufficient to lead to NE. (see Battle of the sexes, Chicken game, etc.)    A correct belief about players’ future strategies

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### Lec1 最近の更新履歴 yyasuda's website

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 realizing!!

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### Lec2 最近の更新履歴 yyasuda's website

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

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### 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]

17 さらに読み込む

### 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]

20 さらに読み込む

### Midterm2 最近の更新履歴 yyasuda's website

(a) If an agent is risk averse, her risk premium is ALWAYS positive. (b) When every player has a (strictly) dominant strategy, the strategy profile that consists of each player’s dominant strategy MUST be a Nash equilibrium. (c) If there are two Nash equilibria in pure-strategy, they can ALWAYS be Pareto

### en 最近の更新履歴 yyasuda's website

Reconsidered” American Economics Review, Vol.101: 399-410.    Abdulkadiroglu, Che and Yasuda (forthcoming), “Expanding ‘Choice’ in School Choice” American Economic Journal: Microeconomics.    Gale and Shapley (1962), “College Admissions and the Stability of Marriage” American Mathematical Monthly, Vol.69: 9-15.

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