トップPDF Game5 最近の更新履歴 yyasuda's website

Game5 最近の更新履歴  yyasuda's website

Game5 最近の更新履歴 yyasuda's website

7.3 THE COURNOT MODEl In the previous section we concluded that, if irms' sales are limited by the output they produced beforehand, then in equilibrium, firms set prices such that total demand just clears total output.s This analysis can be taken one step back: What output levels should irms choose in the irst place? Suppose that output decisions are made simultaneously before prices are chosen. Based on this analysis, irms know that, for each pair of output choices (ql, q2), equilibrium prices will be Pl = P2 = P(ql + q2). This implies that irm i's proit is given by fj =qi ( P(ql + q2) - c ) , assuming, as before, constant marginal cost, c. The game wherein irms simultaneously choose output levels is known as the Cournot model. 76 Speciically, suppose there are two firms in a market for a homogeneous product. Firms choose simultaneously the quantity they want to produce. The market price is then set at the level such that demand equals the total quantity produced by both irms.
さらに見せる

13 さらに読み込む

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

2 さらに読み込む

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…

21 さらに読み込む

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]

20 さらに読み込む

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]

17 さらに読み込む

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]

23 さらに読み込む

Lec7 最近の更新履歴  yyasuda's website

Lec7 最近の更新履歴 yyasuda's website

Review of Lecture 5    Indifference property in mixed strategy NE.   If a player chooses more than one strategy with positive probability, she must be indifferent among such pure strategies: choosing any of them generate same expected payoff.

16 さらに読み込む

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]

16 さらに読み込む

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

3 さらに読み込む

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).
さらに見せる

2 さらに読み込む

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]

49 さらに読み込む

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. 
さらに見せる

2 さらに読み込む

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.

3 さらに読み込む

Final1 最近の更新履歴  yyasuda's website

Final1 最近の更新履歴 yyasuda's website

5. Production Economy (25 points) Consider an economy with two firms and two consumers. Firm 1 is entirely owned by consumer 1; it produces good A from input X via the production function a = 2x. Firm 2 is entirely owned by consumer 2; it produces good B from input X via the production function b = 3x. Each consumer owns 10 units of X. Consumers’ preferences are given by the following utility functions:

2 さらに読み込む

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]

2 さらに読み込む

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. 

3 さらに読み込む

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]

2 さらに読み込む

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

20 さらに読み込む

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]

20 さらに読み込む

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]

17 さらに読み込む

Show all 10000 documents...