トップPDF Lec2 9 最近の更新履歴 yyasuda's website

Lec2 9 最近の更新履歴  yyasuda's website

Lec2 9 最近の更新履歴 yyasuda's website

Finitely Repeated Games (2) Theorem 2 If the stage game G has a unique Nash equilibrium, then, for any finite T , the repeated game G(T ) has a unique subgame perfect Nash equilibrium: the Nash equilibrium of G is played in every stage irrespective of the past history of the play.

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EX2 2 最近の更新履歴  yyasuda's website

EX2 2 最近の更新履歴 yyasuda's website

Solve the following problems in Snyder and Nicholson (11th):. 1.[r]

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Lec2 15 最近の更新履歴  yyasuda's website

Lec2 15 最近の更新履歴 yyasuda's website

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 event that occurs if the players fail to agree.

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Lec2 14 最近の更新履歴  yyasuda's website

Lec2 14 最近の更新履歴 yyasuda's website

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 called common values case. The outcome (of the mechanism) is described by

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PQ2 2 最近の更新履歴  yyasuda's website

PQ2 2 最近の更新履歴 yyasuda's website

Solve the following problems in Snyder and Nicholson (11th):. 1.[r]

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PS2 2 最近の更新履歴  yyasuda's website

PS2 2 最近の更新履歴 yyasuda's website

(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 the value of player i’s house to the other player j becomes 5

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EX2 2 最近の更新履歴  yyasuda's website

EX2 2 最近の更新履歴 yyasuda's website

Solve the following problems in Snyder and Nicholson (11th):. 1.[r]

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最近の更新履歴  yyasuda's website

最近の更新履歴 yyasuda's website

(c) There are two pure-strategy Nash equilibria: (A; X) and (B; Y ). (d) Let p be a probability that player 2 chooses X and q be a probability that player 1 chooses A. Since player 1 must be indi¤erent amongst choosing A and B, we obtain 2p = p + 3(1 p) , 4p = 3 , p = 3=4.

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Lec2 2 最近の更新履歴  yyasuda's website

Lec2 2 最近の更新履歴 yyasuda's website

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 risk premium P (ε) (at initial wealth x) is defined by

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最近の更新履歴  yyasuda's website

最近の更新履歴 yyasuda's website

(nw1) means 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’ assignments. The second property is about no-envy, which is also widely used in the context of school choice. But due to the structure of controlled school choice, as in Definition 1, even when a student prefers a school to her own and there is a student with lower priority in the school, the envy is not justified if the student’s move violates the legal constraints. Definition 2 formally states the condition for a student to have justified envy.
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最近の更新履歴  yyasuda's website

最近の更新履歴 yyasuda's website

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

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Midterm2 14 最近の更新履歴  yyasuda's website

Midterm2 14 最近の更新履歴 yyasuda's website

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 same time, their profits become 0. If exactly one firm advertises in the morning, its profit is 1; if exactly one firm advertises in the evening, its profit is 2. Firms must make their daily advertising decisions simultaneously.

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Final2 12 最近の更新履歴  yyasuda's website

Final2 12 最近の更新履歴 yyasuda's website

(d) Zermelo’s theorem assures that the first mover has a winning strategy in ANY perfect information game with strictly opposite interests. (e) The weak perfect Bayesian equilibrium puts NO restriction on beliefs at the information sets that are not reached in equilibrium.

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Midterm2 10 最近の更新履歴  yyasuda's website

Midterm2 10 最近の更新履歴 yyasuda's website

(a) Derive each partner’s payo¤ function. (b) Derive each partner’s best reply function and graphically draw them in a …gure. (Taking m in the horizontal axis and n in the vertical axis.) (c) Is this game strategic complementarity, strategic substitution, or neither of them? Explain why.

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Final2 11 最近の更新履歴  yyasuda's website

Final2 11 最近の更新履歴 yyasuda's website

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 from outside. Suppose there are two individuals. Each of them randomly receives one envelope and observes the number inside of her/his own envelope. Then, they are given an option to exchange the envelope to the other person; exchange occurs if and only if both individuals wish to exchange. Finally, individuals receive prize ($) equal to the number, i.e., she receives $X if the number is X. Assume that both individuals are risk-neutral so that they maximize expected value of prizes.
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Final2 13 最近の更新履歴  yyasuda's website

Final2 13 最近の更新履歴 yyasuda's website

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 their own price, p 1 and p 2 . The firms’ products are differentiated. After the prices are set, consumers demand 24 − p i +

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Final2 14 最近の更新履歴  yyasuda's website

Final2 14 最近の更新履歴 yyasuda's website

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 higher bid receives a spectrum block. The loser pays nothing while the winner pays a weighted average of the two bids:

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PS2 最近の更新履歴  yyasuda's website

PS2 最近の更新履歴 yyasuda's website

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]

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Game9 最近の更新履歴  yyasuda's website

Game9 最近の更新履歴 yyasuda's website

two or three highly proitable RAM producers left. ' During the decade of the 1990s, however, both justifications for targeting RAMs­ technological externalities and excess returns-apparently failed to materialize. On one side, Japan's lead in RAMs ultimately did not translate into an advantage in other types of semiconductor: For example, American irms retained a secure lead in microprocessors. On the other side, instead of continuing to shrink, the number of RAM producers began to rise again, with the main new entrants from South Korea and other newly industrial­ izing economies. By the end of the 1990s, RAM production was regarded as a "com­ modity" business: Many people could make RAMs, and there was nothing especially strategic about the sector.
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Slide2 最近の更新履歴  yyasuda's website

Slide2 最近の更新履歴 yyasuda's website

elimination of strictly dominated strategies can never be selected (with positive probability) in a mixed-strategy Nash equilibrium.[r]

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