トップPDF Game10 最近の更新履歴 yyasuda's website

Game10 最近の更新履歴  yyasuda's website

Game10 最近の更新履歴 yyasuda's website

n s game, player 1 is powerless; her proposal at he start of he game is irrelevant. Every subgame following player 2's rejecion of a proposal of player 1 is a variant of he ulimatum game n which player 2 moves irst. hus evey suh subgame has a uique subgame perfect equilibrium, n wich player 2 offers noting to player 1, and player 1 accepts all proposals. Using backward induction, player 2' s opimal acion ater any offer ( xv X2) of player 1 with X2 < 1 is rejecion (N). Hence in every subgame perfect equilibrium player 2 obtans all he pie.
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syllabus game10 最近の更新履歴  yyasuda's website

syllabus game10 最近の更新履歴 yyasuda's website

This  is  an  introductory  course  in  game  theory,  which  will  provide  you  with  mathematical  tools  for  analyzing  strategically  interdependent  situations,  i.e.,  the  situations  in  which  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.  To  illustrate  the  analytical value of these tools, we will cover a variety of applications, e.g., international  relations,  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

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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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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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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PracticeM 最近の更新履歴  yyasuda's website

PracticeM 最近の更新履歴 yyasuda's website

where J (/ M ) is the number of hours per day spent studying for Japanese (/ Math- ematics). You only care about your GPA. Then, answer the following questions. (a) What is your optimal allocation of study time? (b) Suppose T = 10. If you follow this optimal strategy, what will be your GPA?

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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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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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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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Midterm 最近の更新履歴  yyasuda's website

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

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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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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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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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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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Final1 最近の更新履歴  yyasuda's website

Final1 最近の更新履歴 yyasuda's website

3. Partial Equilibrium (10 points) Consider the following partial equilibrium analysis. Let CS(p) and P S(p) be the consumer surplus and producer surplus (for a given market price p), respectively. Show that the competitive price minimizes the total surplus, i.e., CS(p) + P S(p). Why does the equilibrium price minimize rather than maximize the welfare? 4. Exchange Economy (20 points)

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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

(c) Solve for the total saving S by all types who save and the total borrowing B.. by all types who borrow.[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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