You are given the following best-response functions for duopoly firms playing a Bertrand price-setting game: P₁ = 25 +0.5m₁ +0.25p2, and P₂ = 25 +0.5m₂ +0.25p₁, where m, and m₂ are the marginal costs for firm 1 and firm 2 respectively. Let m₁ = m₂ = $10. Solve for the Bertrand equilibrium prices. Firm 1 $ (round answers to the nearest penny) (round answers to the nearest penny) Firm 2 $

You are given the following best-response functions for duopoly firms playing a Bertrand price-setting game: P₁ = 25 +0.5m₁ +0.25p2, and P₂ = 25 +0.5m₂ +0.25p₁, where m, and m₂ are the marginal costs for firm 1 and firm 2 respectively. Let m₁ = m₂ = $10. Solve for the Bertrand equilibrium prices. Firm 1 $ (round answers to the nearest penny) (round answers to the nearest penny) Firm 2 $

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

A market has the following demand function: 1 P = 120 where Q, Σ0 a) Assuming Cournot-Nash market, fill in the table below when firm one has MC, = 10, firm two has MC, = 20 and firm three has MC, = 20. Additionally, there is no Fixed cost for none of the firms. b) Using data from the table below, explain the merger paradox when firms 2 and 3 merge. How the merged firm (firm 2 and 3) will be worse off? c) How would this outcome differ if all three firms merged? Industry level Output Number of Firm level Firms Price Profits Output Profits 1 3
Four firms (A, B, C, and D) play a pricing game (i.e. Bertrand). Each firm (i) may choose any price P; in [0, infinity) with the goal of maximizing its own profit. (Firms do not care directly about their own quantity or others' profits.) Firms A and B have MC = 10, while firms C and D have MC = 20. The firms serve a market with the demand curve Q = 100 - P. All firms produce exactly the same product, so consumers purchase only from the firm with the lowest price. If multiple firms have the same low price, consumers divide their prices evenly among the low-priced firms. If firms choose price simultaneously: A) a price firm A would choose in equilibrium: a price firm B would choose in equilibrium: B) a price firm C would choose in equilibrium: C) a price firm D would choose in equilibrium:
Suppose two firms, A and B, have a cost function of ?(??) = 30??, for ? = ?, ?. The inverse demand for the market is given by ? = 120 − ?, where Q represents the total quantity in the market, ? = ?? + ??. 1. Solve for the firms’ outputs in a Nash Equilibrium of the Cournot Model. 2. Let Firm A be the first mover, and Firm B be the second mover. Solve for the firms’ outputs in a SPNE of the Stackelberg Model.
1. Consider the following Cournot model. The inverse demand function is given by p = 30 –Q, where Q = qi + q2. Firm 1's marginal cost is $6 (c1 = 6). Firm 2 uses a new technology so that its marginal cost is $3 (c2 = 3). There is no fixed cost. The two firms choose their quantities simultaneously and compete only once. (So it’s a one-shot simultaneous game.) Answer the following questions. а. Derive Firm 1 and Firm 2's reaction functions, respectively. b. Solve the Nash equilibrium (qı", q2"). What is the equilibrium price and what is the profit level с. for each firm?
Two firms produce Bliffs. They compete by simultaneously choosing prices in a single period. The demand for Bliffs is given by P(Q) = 100-2Q where Q is market quantity and P is market price. Firm 1 has costs C1(q1) = 20q1 and Firm 2 has costs C2(q2) = 10q2. Which statement is true? In the Nash equilibrium to the game, both firms play dominated strategies None of the other answers are correct O In the Nash equilibrium to the game, both firms play dominant strategies In the Nash equilibrium to the game, both firms slowly lower prices towards marginal costs O In the Nash equilibrium to the game, both firms set price equal to marginal cost
image attached
I need answer ASAP.Thank you!
Suppose that identical duopoly firms have constant marginal costs of $20 per unit. Firm 1 faces a 110-2p1 + P2, where q1 is Firm 1's output, p1 is Firm 1's price, and p2 is Firm 2's price. Similarly, the demand Firm 2 faces is 92 110-2p2 + p1. What is Firm 1's profit demand function of 9₁ under the Nash-Bertrand equilibrium, assuming no fixed costs? = =
Consider the following static game with two firms as the players. Each firm must decide either to upgrade (U) an existing good to a new version; or not upgrade it (N). The decisions are simultaneous. If a firm chooses to upgrade, they have to pay a fixed cost of 7. If they don’t upgrade, there is no fixed cost. The marginal cost is always equal to 3. The demand side of the market is as follows: If neither firm upgrades, each firm sells 2 units at price 4. If both firms upgrade, each firm sells 3 units at price 5. If only one firm upgrades, the one who upgrades sells 5 units at price 5, and the other firm does not sell anything.
There are two firms in a market and they compete in a Nash-Cournot manner. Firm 1 faces the demand function p1(g1,92) = 200 - 91 - 92, and has a total cost function TC1 = (91)2. Firm 2 faces the demand function p2(91,92) = 160 - 92 - 91, and has a total %3D cost function TC2 = (92)2. Answer each of the following questions. a. Find the Nash-Cournot equilibrim output and price v for firm 1. b. Find the Nash-Cournot equilibrim output v and price v for firm 2.
2. Four firms (A, B, C, and D) play a pricing game (i.e. Bertrand). Each firm (i) may choose any price Pi from 0 to ¥, with the goal of maximizing its own profit. Firms A and B have MC = 10, while firms C and D have MC = 20. The firms serve a market with the demand curve Q = 100 – P. All firms produce exactly the same product, so consumers purchase only from the firm with the lowest price. If multiple firms have the same low price, consumers divide their quantities evenly among the low-priced firms. Assume the firms choose price simultaneously. a. There are many equilibria in this simultaneous-move pricing game. Provide one equilibrium combination of prices, and argue that no firm has a unilateral incentive to deviate from these prices. Now assume firm A chooses price first. Firm B observes this choice and then chooses its own price second. Firm C chooses price third, and firm D chooses price last. b. Again, there are many equilibria in this sequential-move pricing game.…
I have constructed a Bertrand game (competition in prices) and presented you with the reaction functions of each firm. p1 = 12.5 + p2/4 p2 = 5/2 + p1/2 a) Use excel to draw the reaction functions. b) Solve for the Nash equilibrium