(a) Consider the action profile where all three parties choose xm 1. Is (1) a Nash equilibrium? Explain. (b) Now consider the action profile (A, B, Xc) = (1, ², 3). Is it a Nash equilibrium? Explain.

(a) Consider the action profile where all three parties choose xm 1. Is (1) a Nash equilibrium? Explain. (b) Now consider the action profile (A, B, Xc) = (1, ², 3). Is it a Nash equilibrium? Explain.

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter19: Externalities And Public Goods

Section: Chapter Questions

Problem 19.12P

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urgent 1.15. Consider the Supreme Court as an electorate of 9 members thatvotes yes-or-no on a variety of issues. It is customary for this electorateto use the simple majority method, and since 9 is an odd number, no tiescan result when no justices are absent. Imagine the following alternativemethod for determining Supreme Court decisions. The decision is affirmative whenever at least 3 of the first 5 justices vote to affirm. Otherwisethe decision is negative. This is just the bloc voting method, where thejustices form blocs of size 5, 1, 1, 1, and 1. (This method emulates whatwould occur if the first 5 justices were to agree to always vote as a blocand to decide among themselves how the bloc should rule.)(a) Is this method anonymous?(b) Is this method neutral?(c) Is this method monotone?(d) If you were one of the 4 justices not among the first 5, why wouldyou complain about this voting method?
R (3,2) (0,0) (2,4) (5,4) (0,0) In the extensive form representation of the game between Player 1 and Player 2, Player 1 moves first and chooses L or R. If Player 1 chooses R the game ends, if Player 1 chooses L then Player 1 and 2 play a simultaneous move game. The game has strategy Subgame Perfect Nash Equilibria (SPNE). The maximum payoff Player 2 gets in a SPNE is pure strategy Nash equilibria and pure (Please, enter only numerical answers like: 1, 2, 3, ...)
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