Consider the game matrix below. A company is thinking about establishing itself in a market. Another company is already in this market and can choose to start a price war or not. Company 1 can thus choose "Establish" or "Do not establish"; company 2 "Price war" or "Nothing price war". The numbers in the cells are profits (in thousands of SEK). In each cell, company l's profit is listed first: (100,60) thus means that company 1 receives one hundred thousand SEK in profit and that company 2 receives sixty thousand SEK in profit. Both firms are profit maximizing. 4. Företag 2 Priskrig Inget priskrig Etablera (100, 60) (120,25) Företag 1 Etablera ej (170, 50) (80,90) 4a Analyze whether company 1 has a dominant strategy. Motivate based on the gains i the game matrix. 4b Analyze whether company 2 has a dominant strategy. Motivate based on the gains i the game matrix. 4c Determine all Nash equilibria of the game. Justify based on the winnings in the game matrix

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Chapter15: Imperfect Competition
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4. Consider the game matrix below. A
company is thinking about establishing itself in a
market. Another company is already in this market
and can choose to start a price war or not.
Company 1 can thus choose "Establish" or "Do not
establish"; company 2 "Price war" or "Nothing price
war". The numbers in the cells are profits (in
thousands of SEK). In each cell, company 1's profit
is listed first: (100,60) thus means that company 1
receives one hundred thousand SEK in profit and
that company 2 receives sixty thousand SEK in
profit. Both firms are profit maximizing.
4a
Företag 2
Priskrig
Inget
priskrig
Etablera
(100, 60)
(120, 25)
Företag 1
Etablera ej
strategy. Motivate based on the gains i
game matrix.
(170, 50)
(80, 90)
Analyze whether company 1 has a dominant
the
4b Analyze whether company 2 has a
dominant strategy. Motivate based on the gains i
the game matrix.
4c. Determine all Nash equilibria of the game.
Justify based on the winnings in the game matrix
Transcribed Image Text:4. Consider the game matrix below. A company is thinking about establishing itself in a market. Another company is already in this market and can choose to start a price war or not. Company 1 can thus choose "Establish" or "Do not establish"; company 2 "Price war" or "Nothing price war". The numbers in the cells are profits (in thousands of SEK). In each cell, company 1's profit is listed first: (100,60) thus means that company 1 receives one hundred thousand SEK in profit and that company 2 receives sixty thousand SEK in profit. Both firms are profit maximizing. 4a Företag 2 Priskrig Inget priskrig Etablera (100, 60) (120, 25) Företag 1 Etablera ej strategy. Motivate based on the gains i game matrix. (170, 50) (80, 90) Analyze whether company 1 has a dominant the 4b Analyze whether company 2 has a dominant strategy. Motivate based on the gains i the game matrix. 4c. Determine all Nash equilibria of the game. Justify based on the winnings in the game matrix
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