In the packaged energy drink industry, there are only two companies that have the same relative strength in the market, namely “Pocary” and “Ion-1000”. It is known that the demand function in the market for this industry is as follows: Q = 1000 - 0.1P. Where Q in the market is supplied by these 2 companies. It is known that the total cost of the company is TC = 2q2 while for Ion-1000 is TC = 2.5q2 a. If these 2 companies collude, what is the price and quantity offered in the market at equilibrium, and calculate the profit of each company? b. If these 2 companies compete, look for the best respond function of each company, and what is the price and quantity offered in the market at equilibrium, and calculate the profit of each company? c. Make it in the game theory form of the two strategies "Collusion" and "Compete" and look for "Nash Equilibrium" in just one game? (Note, if one is a collusion strategy, then the quantity produced collusion strategy is the same as the calculation result in answer a, and the competitive strategy uses the reaction function from answer b, then calculate the profit of each company to get the pay off and the outcome) . d. If the game is repeated indefinitely, you are asked to find at a time how a collusion can be maintained?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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In the packaged energy drink industry, there are only two companies that have the same relative strength in the market, namely “Pocary” and “Ion-1000”. It is known that the demand function in the market for this industry is as follows: Q = 1000 - 0.1P. Where Q in the market is supplied by these 2 companies. It is known that the total cost of the company is TC = 2q² while for Ion-1000 is TC = 2.5q²

a. If these 2 companies collude, what is the price and quantity offered in the market at equilibrium, and calculate the profit of each company?

b. If these 2 companies compete, look for the best respond function of each company, and what is the price and quantity offered in the market at equilibrium, and calculate the profit of each company?

c. Make it in the game theory form of the two strategies "Collusion" and "Compete" and look for "Nash Equilibrium" in just one game? (Note, if one is a collusion strategy, then the quantity produced collusion strategy is the same as the calculation result in answer a, and the competitive strategy uses the reaction function from answer b, then calculate the profit of each company to get the pay off and the outcome) .

d. If the game is repeated indefinitely, you are asked to find at a time how a collusion can be maintained?

Definition Definition Economic decision-making framework that analyzes how different players optimize their outcomes with given pay-offs corresponding to their available strategies. The assumptions of game theory are: The number of players or competitors are finite/limited; All participants are rational The rules of the game are known to every player; and Each participant has a finite set of actions. A common way in which game theory is presented as an ( m x n ) matrix in which m represents the strategies of row player and n represents the strategies of column player. There are several limitations of game theory: Many businesses have a large number of competitors, and selecting an optimal strategy in these circumstances is difficult; Real-life business operating environments are full of uncertainty and difficult to model as a game theory; and The assumption of rationality and utility maximization isn't always an accurate portrayal of human nature.

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