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... 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 ... 完全なドキュメントを参照

... 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 ... 完全なドキュメントを参照

... 安田予想で未受賞の候補者たち Robert Barro (1944-, マクロ、成長理論) → イチオシ！ Elhanan Helpman (1946-, 国際貿易、成長) → 誰ともらうのか？ Paul Milgrom (1948-, 組織の経済学、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… ... 完全なドキュメントを参照

...  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] ... 完全なドキュメントを参照

... 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] ... 完全なドキュメントを参照

...  A tree starts with the initial node and ends at.. terminal nodes where payoffs are specified..[r] ... 完全なドキュメントを参照

... 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 ... 完全なドキュメントを参照

...  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] ... 完全なドキュメントを参照

... 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 . ... 完全なドキュメントを参照

... this game is played finitely many times, say T (≥ 2) ...the game is played infinitely many times: payoff of each player is discounted sum of each period payoff with some discount factor δ ∈ (0, ... 完全なドキュメントを参照

...  Exist exactly one for ANY exchange problem.  Always Pareto efficient and individually rational[r] ... 完全なドキュメントを参照

... in game theory, which will provide you with mathematical tools for analyzing strategic situations ‐ your optimal decision depends on what other people will ...in game theory such as Nash equilibrium, ... 完全なドキュメントを参照

... (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. ... 完全なドキュメントを参照

... 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 ... 完全なドキュメントを参照

... Find (all) pure‐strategy Nash equilibrium if it exists. iii.[r] ... 完全なドキュメントを参照

... 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  ... 完全なドキュメントを参照

... (c) Solve for the total saving S by all types who save and the total borrowing B.. by all types who borrow.[r] ... 完全なドキュメントを参照

... 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 ... 完全なドキュメントを参照

...  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] ... 完全なドキュメントを参照

... 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] ... 完全なドキュメントを参照