EBK MICROECONOMICS
2nd Edition
ISBN: 8220103679701
Author: List
Publisher: YUZU
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Chapter 17, Problem 10P
To determine
Outcome of a negotiation between farmers and railway company.
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Consider the following game played by four individuals, players 1, 2, 3, and 4. Each individual has $10,000. Each player can donate between $0 and $10,000 to build a public park that costs $20,000. If they collect enough money, they construct the park, which is worth $9,000 to each of them. However, if they collect less than $20,000, they cannot build a park. Furthermore, regardless of whether the park is built or not, individuals lose any donations that they make. a) Describe the Nash equilibria for a simultaneous game. What makes them equilibria? Hint: There are many equilibria, so you may want to use a mathematical expression! b) Suppose that players 1, 2, and 3, each donate $4,000 for the park. How much will player 4 donate and why. What are the resulting payoffs for the players? c) Suppose instead that player 1 donated first, player 2 second, player 3 third, and player 4 last. Furthermore, players could only donate in intervals of 1,000 (0, $1,000, $2,000, etc.). How much will…
Suppose China and the US are deciding whether to join an international agreement to mitigate climate change.
The matrix below contains payoffs that represent each country’s net benefit from their decisions. Use this information to answer Question 24.
CHINA
USA
Join Agreement
Do Not Join Agreement
Join Agreement
(100,100)
(0,125)
Do Not Join Agreement
(125,0)
(25,25)
[24] What does each country decide to do in a Nash equilibrium? AND What is the efficient outcome?
Nash:
Efficient:
Consider a game with two players A and B and two strategies X and Z. If both players play strategy X, A will earn $300 and B will earn $700. If both players play strategy Z, A will earn $1,000 and B will earn $600. If Player A plays strategy X and player B plays strategy Z, A will earn $200 and B will earn $300. If Player A plays strategy Z and player B plays strategy X, A will earn $500 and B will earn $400. Player B finds that:
a) strategy Z is a dominant strategy.
b) strategy X is a dominant strategy.
c) he has no dominant strategy.
d) strategy X is a dominated strategy.
e) strategy Z is a dominated strategy.
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