Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Consider a homogeneous good industry (such as an agricultural product) with just two firms and a total market demand Q = 400P, so the inverse

Consider a homogeneous good industry (such as an agricultural product) with just two firms and a total market demand Q = 400P, so the inverse demand is P = 400 Q. Suppose both firms have a constant marginal cost equal to $100 per unit of output and a fixed cost equal to $10,000. Suppose that the firms compete by simultaneously setting price, not simultaneously setting output. That is, suppose we consider the Bertrand model instead of the Cournot. Show that the two firms must earn lower profits.

Hint:Create a two-by-two game using two different prices for each firm. One price should be the Cournot price (the Cournot is price of the good when firms produce the Cournot output you found above, which is 100 and 100, so the price is P = 400 100 100 = 200). The second price should be under 200 and over 150. Then show that the Nash equilibrium of this game is the lower of the two prices. When calculating profits, assume that each firm has equal sales (one half of demand) if they charge the same price and that consumers always buy from the lowest priced firm if prices are different

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Managers And The Legal Environment

Authors: E. Bagley

9th Edition

1337555177, 978-1337555173

More Books

Students also viewed these Economics questions