トップPDF Game8 最近の更新履歴 yyasuda's website

Game8 最近の更新履歴  yyasuda's website

Game8 最近の更新履歴 yyasuda's website

If there are ties in the payoffs, then there may be more than one such equilib­ rium and there may be more than one sequentially rational strategy profile. SUBGAME PERFECTION The concept of backward induction can be expanded to cover general extensive­ form games. One way of doing this is to think of a sequential version of rationalizability, where players must play best responses to their beliefs at all information sets. Such a notion has been developed and is related to the conditional-dominance concept, but, as with conditional dominance, it is a bit too technical to present here.4 Instead, I focus on 'equilibrium and deine a reinement of Nash's concept that incorporates sequential rationality. Versions of this kind of refinement are identified by the term "perfection."
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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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Lec7 最近の更新履歴  yyasuda's website

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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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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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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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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Nobel2015 最近の更新履歴  yyasuda's website

Nobel2015 最近の更新履歴 yyasuda's website

  Paul Romer (1955-, 内生的成長理論) → 学界から消えた!?   Ben Bernanke (1953-, マクロ、金融) → FRB議長を辞めたは好材料?   Douglas Diamond (1953-, 銀行取付) → 金融は無い?   清滝信宏 (1955-, マクロ、金融) → まだ早い

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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

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 upcoming, Mathematics (M) and Japanese (J), and have to decide how to allocate your time to study each subject. After eating, sleeping, exercising, and maintaining some human contact, you will have T hours each day in which to study for your exams. You have …gured out that your grade point average (G) from your two courses takes the form

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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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Final 最近の更新履歴  yyasuda's website

Final 最近の更新履歴 yyasuda's website

(5) Suppose that this game is played finitely many times, say T (≥ 2) times. De- rive the subgame perfect Nash equilibrium of such a finitely repeated game. Assume that payoff of each player is sum of each period payoff. (6) Now suppose that the game is played infinitely many times: payoff of each player is discounted sum of each period payoff with some discount factor δ ∈ (0, 1). Assume specifically that A = 16, c = 8. Then, derive the condition under which the trigger strategy sustains the joint-profit maximizing prices you derived in (3) (as a subgame perfect Nash equilibrium).
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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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Lec4 最近の更新履歴  yyasuda's website

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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Midterm2 最近の更新履歴  yyasuda's website

Midterm2 最近の更新履歴 yyasuda's website

(a) Show that there is no pure-strategy equilibrium in this game. (b) Is there any strictly dominated strategy? If yes, describe which strategy is dominated by which strategy. If no, briefly explain the reason. (c) Derive the mixed-strategy Nash equilibrium.

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Slide2 最近の更新履歴  yyasuda's website

Slide2 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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Final1 最近の更新履歴  yyasuda's website

Final1 最近の更新履歴 yyasuda's website

e z . The prices of the three goods are given by (p, q, 1) and the consumer’s wealth is given by ω. (a) Formulate the utility maximization problem of this consumer. (b) Note that this consumer’s preference can be expressed in the form of U (x, y, z) = V (x, y) + z. Derive V (x, y).

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Midterm14 最近の更新履歴  yyasuda's website

Midterm14 最近の更新履歴 yyasuda's website

Find (all) pure‐strategy Nash equilibrium if it exists.  iii.[r]

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Final14 最近の更新履歴  yyasuda's website

Final14 最近の更新履歴 yyasuda's website

C) Now suppose that the rule of the game is modified as follows. If exchange occurs,  each  individual  receives  3  times  as  much  amount  as  the  bill  she  will  have.  For  example, if individual 1 receives $5 and 2 receives $10 initially and both wish to  exchange,  then  1  will  receive  $30  (=  $10  x  3)  and  2  will  receive  $15  (=  $5  x  3).  Nothing  happens  if  they  do  not  exchange.  Then,  does  trade  occur  in  a  Bayesian  Nash equilibrium? Explain. 

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PS3 最近の更新履歴  yyasuda's website

PS3 最近の更新履歴 yyasuda's website

(b) Now suppose there are n(> 2) individuals. Then, can we find a competitive equilibrium? (How) Does your answer depend on n? 4. Question 4 (8 points) Consider a production economy with two individuals, Ann (A) and Bob (B), and two goods, leisure x 1 and a consumption good x 2 . Ann and Bob have equal en-

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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. 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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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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