Assume a Hawk -Dove game with the following payoff matrix, where the first entry is nimal A's payoff and the second entry is Animal B's payoff: Animal A Hawk (rows)/Animal B (columns) Hawk Dove (-10,-10) (0,20) Dove (20,0) (8,8) n animal that plays Hawk will always fight until it wins or is badly hurt. An animal that plays ove makes a bold display but retreats if his opponent starts to fight. If two Dove animals meet ey share. (a) Explain why there cannot be an equilibrium where all animals act as Doves.
Assume a Hawk -Dove game with the following payoff matrix, where the first entry is nimal A's payoff and the second entry is Animal B's payoff: Animal A Hawk (rows)/Animal B (columns) Hawk Dove (-10,-10) (0,20) Dove (20,0) (8,8) n animal that plays Hawk will always fight until it wins or is badly hurt. An animal that plays ove makes a bold display but retreats if his opponent starts to fight. If two Dove animals meet ey share. (a) Explain why there cannot be an equilibrium where all animals act as Doves.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
![(c) Derive the mixed strategy Nash equilibrium (MSNE). What is the proportion of Hawks
and Doves? If the proportion of Hawks in the population of animals is greater that
mixed strategy equilibrium proportion, which strategy does better, Hawks of Doves?
Explain your answer.
(d) Draw the best response functions and shown in the diagram all pure and mixed
strategy equilibria.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda1ea5d1-d76f-4753-acc4-fd0bbbf3edf1%2Fbe677378-12c9-47d7-bd2d-0f44042ef9ac%2Flkygk28_processed.png&w=3840&q=75)
Transcribed Image Text:(c) Derive the mixed strategy Nash equilibrium (MSNE). What is the proportion of Hawks
and Doves? If the proportion of Hawks in the population of animals is greater that
mixed strategy equilibrium proportion, which strategy does better, Hawks of Doves?
Explain your answer.
(d) Draw the best response functions and shown in the diagram all pure and mixed
strategy equilibria.
![4. Assume a Hawk -Dove game with the following payoff matrix, where the first entry is
Animal A's payoff and the second entry is Animal B's payoff:
Animal A Hawk
(rows)/Animal
B (columns)
Hawk
Dove
(-10,-10)
(0,20)
Dove
(20,0)
(8,8)
An animal that plays Hawk will always fight until it wins or is badly hurt. An animal that plays
Dove makes a bold display but retreats if his opponent starts to fight. If two Dove animals meet
they share.
(a) Explain why there cannot be an equilibrium where all animals act as Doves.
(b) Explore whether there are any Nash equilibria in pure strategies and explain which
these are and why they are equilibria.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda1ea5d1-d76f-4753-acc4-fd0bbbf3edf1%2Fbe677378-12c9-47d7-bd2d-0f44042ef9ac%2F74zu5x5_processed.png&w=3840&q=75)
Transcribed Image Text:4. Assume a Hawk -Dove game with the following payoff matrix, where the first entry is
Animal A's payoff and the second entry is Animal B's payoff:
Animal A Hawk
(rows)/Animal
B (columns)
Hawk
Dove
(-10,-10)
(0,20)
Dove
(20,0)
(8,8)
An animal that plays Hawk will always fight until it wins or is badly hurt. An animal that plays
Dove makes a bold display but retreats if his opponent starts to fight. If two Dove animals meet
they share.
(a) Explain why there cannot be an equilibrium where all animals act as Doves.
(b) Explore whether there are any Nash equilibria in pure strategies and explain which
these are and why they are equilibria.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![ENGR.ECONOMIC ANALYSIS](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9780190931919/9780190931919_smallCoverImage.gif)
![Principles of Economics (12th Edition)](https://www.bartleby.com/isbn_cover_images/9780134078779/9780134078779_smallCoverImage.gif)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
![Engineering Economy (17th Edition)](https://www.bartleby.com/isbn_cover_images/9780134870069/9780134870069_smallCoverImage.gif)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
![ENGR.ECONOMIC ANALYSIS](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9780190931919/9780190931919_smallCoverImage.gif)
![Principles of Economics (12th Edition)](https://www.bartleby.com/isbn_cover_images/9780134078779/9780134078779_smallCoverImage.gif)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
![Engineering Economy (17th Edition)](https://www.bartleby.com/isbn_cover_images/9780134870069/9780134870069_smallCoverImage.gif)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
![Principles of Economics (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305585126/9781305585126_smallCoverImage.gif)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
![Managerial Economics: A Problem Solving Approach](https://www.bartleby.com/isbn_cover_images/9781337106665/9781337106665_smallCoverImage.gif)
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
![Managerial Economics & Business Strategy (Mcgraw-…](https://www.bartleby.com/isbn_cover_images/9781259290619/9781259290619_smallCoverImage.gif)
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education