iformation. Player l's value for the object, denoted by vi is drawn From a continuous distribution with (1.2] as its support. Player 2's value for the object, denoted by v2, is likewise drawn from the interval 0, 1]. 1. What is the equilibrium in dominant strategies if a second price auction is used to allocate the object. Is the outcome ex-post efficient? 2. For what pairs (v1, v2) should Player 1 and Player 2 respectively be allocated the object in a mechanism that maximizes expected revenue for the seller? 3. Comment on the differing allocations you obtained in the previous two parts.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.9P
icon
Related questions
Question
Question 4 Consider allocating an object to one of two players when each player's pref-
erences are her private information. Player 1's value for the object, denoted by vị is drawn
from a continuous distribution with (1. 2] as its support. Player 2's value for the object,
denoted by v2, is likewise drawn from the interval 0, 1].
1. What is the equilibrium in dominant strategies if a second price auction is used to
allocate the object. Is the outcome ex-post efficient?
2. For what pairs (v1, v2) should Player 1 and Player 2 respectively be allocated the object
in a mechanism that maximizes expected revenue for the seller?
3. Comment on the differing allocations you obtained in the previous two parts.
Transcribed Image Text:Question 4 Consider allocating an object to one of two players when each player's pref- erences are her private information. Player 1's value for the object, denoted by vị is drawn from a continuous distribution with (1. 2] as its support. Player 2's value for the object, denoted by v2, is likewise drawn from the interval 0, 1]. 1. What is the equilibrium in dominant strategies if a second price auction is used to allocate the object. Is the outcome ex-post efficient? 2. For what pairs (v1, v2) should Player 1 and Player 2 respectively be allocated the object in a mechanism that maximizes expected revenue for the seller? 3. Comment on the differing allocations you obtained in the previous two parts.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Bayesian Nash Equilibrium
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage
Exploring Economics
Exploring Economics
Economics
ISBN:
9781544336329
Author:
Robert L. Sexton
Publisher:
SAGE Publications, Inc
Managerial Economics: A Problem Solving Approach
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: Applications, Strategies an…
Managerial Economics: Applications, Strategies an…
Economics
ISBN:
9781305506381
Author:
James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:
Cengage Learning