Microeconomics
21st Edition
ISBN: 9781259915727
Author: Campbell R. McConnell, Stanley L. Brue, Sean Masaki Flynn Dr.
Publisher: McGraw-Hill Education
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Chapter 5.A, Problem 2ARQ
To determine
The optimal size of project from the economic perspective.
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Newfoundland’s fishing industry has recently declined sharply due to overfish- ing, even though fishing companies were supposedly bound by a quota agree- ment. If all fishermen had abided by the agreement, yields could have been maintained at high levels. LO4
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5. Consider a game where two voters decide on who to elect to a given office between two candidates. The economy
can be in two states that we will call A and B; both voters agree that candidate
1 is the best if the state is A but candidate 2 is more suitable if the state is B. Assume that both voters' preferences
are represented by the Bernouilli utility function that gives payoff 1 if the right candidate is elected for the realized
state and 0 otherwise; if the candidates tie, each is selected with probability 1/2 so that expected payoff then is 1/2.
Voter 1 is informed of the state of the economy while voter 2 is not. Voter 2 believes that the state is A with probability
.9. Each voter has the option to vote for candidate 1, for candidate 2, or to not vote.
(a) Formulate this situation as a Bayesian game.
(b) Show that the game has exactly two pure strategy bayesian Nash equilibria, in one of which voter 2 does not
vote and in the other of which they always vote for candidate 1.
(c)…
4. Consider a three-player bargaining, where the players are negotiating over
a surplus of one unit of utility. The game begins with player 1 proposing
a three-way split of the surplus. Then player 2 must decide whether to
accept the proposal or to substitute for player 1's proposal his own alternative
proposal. Finally, player 3 must decide whether to accept or reject current
proposal (it is player 1's if player 2 accepts or player 2's if player 2 offer a
new one). If he accepts, then the players obtain the specified shares of the
surplus. If player 3 rejects, then the players each get 0.
(a) Draw the extensive form game of this perfect-information game.
(b) Determine the subgame perfect NE.
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