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... 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

... (b) We will get (B; Z) in the following iterated elimination process: Step 1: We can erase X since X is strictly dominated by Z. Step 2: Given step 1, we can erase A since A is strictly dominated by B. Step 3: ... 完全なドキュメントを参照

... j + x j − x i x j , where x i is i’s effort and x j is the effort of the other player. Assume x 1 , x 2 ≥ 0. (a) Find the Nash equilibrium of this game. Is it Pareto efficient? (b) Suppose that the players ... 完全なドキュメントを参照

... Solve the following problems in Snyder and Nicholson (11th):. 1.[r] ... 完全なドキュメントを参照

... Solve the following problems in Snyder and Nicholson (11th):. 1.[r] ... 完全なドキュメントを参照

... Proof of Pratt’s Theorem (1) Sketch of the Proof. To establish (i) ⇔ (iii), it is enough to show that P is positively related to r. Let ε be a “small” random variable with expectation of zero, i.e., E(ε) = 0. The ... 完全なドキュメントを参照

... student s prefers an empty slot at school c to her own assignment, and (nw2) and (nw3) mean that legal constraints are not violated when s is assigned the empty slot without changing other students’ ... 完全なドキュメントを参照

... るい ひとみ ひとみ ひとみ ひとみ あい あい あい あい 1 位 位 位 位 ともき ともき ともき ともき ともき ともき ともき ともき だいき だいき だいき だいき 2 位 位 位 位 こうき こうき こうき こうき こうき こうき こうき こうき ともき ともき ともき ともき 3 位 位 位 位 だいき だいき だいき だいき だいき だいき だいき だいき こうき こうき こうき こうき ... 完全なドキュメントを参照

... A good is called normal (resp. inferior) if consumption of it increases (resp. declines) as income increases, holding prices constant.. Show the following claims.[r] ... 完全なドキュメントを参照

... Using this minimax theorem, answer the following questions. (b) Show that Nash equilibria are interchangeable; if and are two Nash equilibria, then and are also Nash equilibria. (c) Show that each player’s payo¤ ... 完全なドキュメントを参照

... Solve the following problems in Snyder and Nicholson (11th):. 1.[r] ... 完全なドキュメントを参照

... 4. Auctions (30 points) Suppose that the government auctions one block of radio spectrum to two risk neu- tral mobile phone companies, i = 1, 2. The companies submit bids simultaneously, and the company with ... 完全なドキュメントを参照

... (d) 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 ... 完全なドキュメントを参照

... Hint: Your answers in (a) – (c) may change depending on the value of θ. 4. Duopoly (20 points) Consider a duopoly game in which two firms, denoted by firm 1 and firm 2, simul- taneously and independently select ... 完全なドキュメントを参照

... Solve the following problems in Snyder and Nicholson (11th):. 1.[r] ... 完全なドキュメントを参照

... Three firms (1, 2 and 3) put three items on the market and can advertise these products either on morning (= M ) or evening TV (= E). A firm advertises exactly once per day. If more than one firm advertises at the ... 完全なドキュメントを参照

... However, it is difficult to assess how reasonable some axioms are without having in mind a specific bargaining procedure. In particular, IIA and PAR are hard to defend in the abstract. Unless we can find a sensible ... 完全なドキュメントを参照

... where u i (x, θ i ) is the money-equivalent value of alternative x ∈ X. This assumes the case of private values in which player i’s payoff does not depend directly on other players’ types. If it does, then it is ... 完全なドキュメントを参照

... Let w = (w 1 , w 2 , w 3 , w 4 ) ≫ 0 be factor prices and y be an (target) output. (a) Does the production function exhibit increasing, constant or decreasing returns to scale? Explain. (b) Calculate the ... 完全なドキュメントを参照

... elimination of strictly dominated strategies can never be selected (with positive probability) in a mixed-strategy Nash equilibrium.[r] ... 完全なドキュメントを参照