values, 1/2 and 1: Pr(0-1)= a and Pr(0= qual to s. Suppose that the search engine induces expected relevance 0. Show th is v² = 1- 28 8€ What is the price charged by a firm of quality and its profit? Express search engine's fee and profit in terms of 0*, 0 and s. Suppose that a = 1/8. What is search engine's profit if it induces high if its profit when it induces distorts search, i.e. 0 = 1/2? Which fee sh

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Consider a version of Eliaz and Spiegler model. Suppose that v is distributed uniformly on (0, 1], and
relevance parameter takes two values, 1/2 and 1: Pr(0-1)= a and Pr(0=1/2) = 1-a. Let search cost
be equal to s.
1. Suppose that the search engine induces expected relevance 0. Show that consumer reservation values
is
v² = 1-
28
0e
2. What is the price charged by a firm of quality and its profit?
3. Express search engine's fee and profit in terms of 0, 0 and s.
4. Suppose that a = 1/8. What is search engine's profit if it induces high relevance, i.e. * = 1? What
if its profit when it induces distorts search, i.e. 0 = 1/2? Which fee should search engine choose?
Transcribed Image Text:Consider a version of Eliaz and Spiegler model. Suppose that v is distributed uniformly on (0, 1], and relevance parameter takes two values, 1/2 and 1: Pr(0-1)= a and Pr(0=1/2) = 1-a. Let search cost be equal to s. 1. Suppose that the search engine induces expected relevance 0. Show that consumer reservation values is v² = 1- 28 0e 2. What is the price charged by a firm of quality and its profit? 3. Express search engine's fee and profit in terms of 0, 0 and s. 4. Suppose that a = 1/8. What is search engine's profit if it induces high relevance, i.e. * = 1? What if its profit when it induces distorts search, i.e. 0 = 1/2? Which fee should search engine choose?
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman