[PDF] Top 20 Lec2 最近の更新履歴 yyasuda's website

... Prisoners’ Dilemma: Analysis
 ( Silent , Silent ) looks mutually beneficial outcomes, though  Playing Confess is optimal regardless of other player’s choice!  Acting optimally ( Confess , Confess ) rends up ... 完全なドキュメントを参照

... タカ ―ハト・ゲーム（チキンゲーム）
交渉事に強気（タカ戦略）でのぞむか弱気（ハト戦略）でのぞ むかをそれぞれのプレーヤーが決定
ナッシュ均衡は非対称な行動の組：（ ハト 、 タカ ）と（ タカ 、 ハト ）
現実に、ハト戦略とタカ戦略のどちらも観察されることに対応 ... 完全なドキュメントを参照

... Open Set and Closed Set (2) Boundary and interior ◮ A point x is called a boundary point of a set S in R n if every ε-ball centered at x contains points in S as well as points not in S. The set of all boundary ... 完全なドキュメントを参照

... ◮ with probability p, a consumer with wealth x will receive a times of her current wealth x ◮ with probability 1 − p she will receive b times of x. Thm Assume that the assumptions of Pratt’s Theorem holds. Then, ... 完全なドキュメントを参照

... 3. Nash Equilibrium (16 points) Monica and Nancy have formed a business partnership. Each partner must make her e¤ort decision without knowing what e¤ort decision the other player has made. Let m be the amount of e¤ort ... 完全なドキュメントを参照

... 5. Bayesian Game (20 points) There are 10 envelopes and each of them contains a number 1 through 10. That is, one envelope contains 1, another envelope contains 2, and so on; these numbers cannot be observable ... 完全なドキュメントを参照

... (b) Revenue equivalence theorem claims that the equilibrium bidding strategy under the …rst-price auction is ALWAYS identical to the one under the second- price auction. (c) EVERY perfect Bayesian equilibrium is a weak ... 完全なドキュメントを参照

... (a) Write the payoff functions π 1 and π 2 (as a function of p 1 and p 2 ). (b) Derive the best response functions and solve the pure-strategy Nash equilib- rium of this game. (c) Derive the prices (p 1 , p ... 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

... 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

... b + (1 )b 0 where b is the winner’s bid, b 0 is the loser’s bid, and is some constant satisfying 0 1. (In case of ties, each company wins with equal probability.) Assume the valuation of the spectrum block ... 完全なドキュメントを参照

... For a singleton information set, i.e., x = h(x), the player’s belief puts probability one on the single decision node. (2) Given their beliefs, the players’ strategies must be sequentially rational. That ... 完全なドキュメントを参照

... A belief about other players’ types is a conditional probability distribution of other players’ types given the player’s knowledge of her own type p i (t −i |t i ). When nature reveals t i to player i, she can ... 完全なドキュメントを参照

... First-Price: General Model (1) Consider a first-price auction with n bidders in which all the conditions in the previous theorem are satisfied. Assume that bidders play a symmetric equilibrium, β(x). Given some bidding ... 完全なドキュメントを参照

... Proof Sketch (2): Existence of Pivotal Voter Lemma 3 (Existence of Pivotal Voter) There is a voter n ∗ = n(b) who is extremely pivotal in the sense that by changing his vote at some profile he can move b from the ... 完全なドキュメントを参照

... Explain. (b) Show that any risk averse decision maker whose preference satisfies indepen- dence axiom must prefer L 2 to L 3 . 3. Question 3 (4 points) Suppose a monopolist with constant marginal costs prac- tices ... 完全なドキュメントを参照

... A bargaining situation is described by a tuple hX, D, % 1 , % 2 i: X is a set of possible agreements: a set of possible consequences that the two players can jointly achieve. D ∈ X is the disagreement outcome: the ... 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

... Connection between UMP and EMP | UMP と EMP の関係 There is a strong link between the utility maximization problem (UMP, 効用最 大化問題 ) and the expenditure minimization problem (EMP, 支出最小化問題 ). Let us first consider the ... 完全なドキュメントを参照

... ローチ ローチ ローチ にある。単なる現状分析や、選択制を導 入あるいは廃止すべきか、という是非論にとど まらず、 制度をデザインするという視点 制度をデザインするという視点 制度をデザインするという視点 制度をデザインするという視点 から、望 ましい学校選択制の制度設計について、 ゲーム ゲーム ゲーム ゲーム ... 完全なドキュメントを参照