[PDF] Top 20 Lec2 7 最近の更新履歴 yyasuda's website

... Zermelo’s Theorem Theorem 3 For any finite perfect information games, there exist at least one backward induction solution in pure strategies. Furthermore, if payoffs differ between any two different strategy ... 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

... 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

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

... (a) Find a Bayesian Nash equilibrium of the game in pure strategies in which each player i accepts an exchange if and only if the value v i does not exceed some threshold θ i (b) How would your answer to (a) change if ... 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

... player 2 must be indi¤erent amongst choosing X and Y , which implies 4q + 6(1 q) = 7(1 q) , 5q = 1 , q = ...player 2 takes X with probability 3=4 (and Y with probability ... 完全なドキュメントを参照

... (e) The social welfare function introduced by Arrow is to derive social UTILITY by adding up individual utilities. 2. Externalities (25 points) Consider a one-consumer, one-firm economy (or equiv- alently an ... 完全なドキュメントを参照

... (d) What is the Nash equilibrium of this game? 4. Mixed Strategy (15 points) Three …rms (1, 2 and 3) put three items on the market and can advertise these products either on morning (= M ) or evening TV (= E). A ... 完全なドキュメントを参照

... Suppose a government auctions one block of radio spectrum to two risk neutral mobile phone companies, i = 1; 2. The companies submit bids simultaneously, and the company with higher bid receives a spectrum block. ... 完全なドキュメントを参照

... object for each buyer is independently and uniformly distributed between 0 and 1. (a) Suppose that buyer 2 takes a linear strategy, b 2 = v 2 . Then, derive the probability such that buyer 1 wins as ... 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

... 3. Auction (9 points) Consider a “common-value auction” with two players, where the value of the object being auctioned is identical for both players. Call this value V and suppose that V = v 1 + v 2 , where v i ... 完全なドキュメントを参照

... 5. Mixed Strategy (20 points) Consider a patent race game in which a “weak” firm is given an endowment of 4 and a “strong” firm is given an endowment of 5, and any integral amount of the endowment could be invested in a ... 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

... Problem Set 2: Posted on November 18 Advanced Microeconomics I (Fall, 1st, 2013) 1. Question 1 (7 points) A real-valued function f (x) is called homothetic if f (x) = g(h(x)) where g : R → R is a strictly ... 完全なドキュメントを参照