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.

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
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Chapter1: Making Economics Decisions
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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.
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