1) Complete a game tree to represent this game. 2) Based on your solution in part (a), determine the subgame perfect Nash Equilibrium solution.
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Suppose that BMW and Audi are introducing new cars to the market at the same trade show. If both companies introduce a hybrid car, they will each earn $200 million. If they both introduce an electric car, they will each make $400 million. However, if they introduce different types of cars, the manufacturer that produces the electric car will earn $900 million, while the manufacturer that produces the hybrid car will make $500 million. In addition, BMW has committed to introducing their car first at the tradeshow by agreeing to pay Audi a guaranteed $200 million.
1) Complete a game tree to represent this game.
2) Based on your solution in part (a), determine the subgame perfect Nash Equilibrium solution.
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The game tree will depict the different combination of strategies and the payoff associated with them. Here, company-B is the first-mover and company-A is the second mover. Company-A will have a guaranteed income of $200 million.
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- Suppose that Snapface and Instashot are the only two firms in a hypothetical market that produce and sell polaroid cameras. The following payoff matrix gives profit scenarios for each company (in millions of dollars), depending on whether it chooses to set a high or low price for cameras. Snapface Pricing High Low For example, the lower-left cell shows that if Snapface prices low and Instashot prices high, Snapface will earn a profit of $18 million, and Instashot will earn a profit of $2 million. Assume this is a simultaneous game and that Snapface and Instashot are both profit-maximizing firms. Instashot Pricing High Low 11, 11 2, 18 18, 2 10, 10 If Snapface prices high, Instashot will make more profit if it chooses a high price, and if Snapface prices low, Instashot will make more profit if it chooses a price. If Instashot prices high, Snapface will make more profit if it chooses a chooses a ▼ price. Considering all of the information given, pricing high If the firms do not collude,…Answer the following questions regarding the matrix below, which represents the strategic interaction between the two largest movie production studios, Universal Pictures and 20th Century Fox. They are each deciding the release dates for their own summer blockbuster action movies. They can release their movies in June, July, or August. Because of limited demand for going to the movies, each firm would generally rather release their movies earlier than later. Similarly, they would rather not release their movies at the same time, as it dilutes the demand for their movies. The matrix form of the game is as follows: Universal June July August June 5,5 4,6 7,8 Fox July 6,4 5,5 4,6 August 8,6 6,5 5,4 d) Suppose Universal and Fox make their decisions simultaneously. Are there any Nash equilibria? If so, what are they? Show your work. e) Suppose they move sequentially, and that Fox moves first. First set up the game tree. What will be the equilibrium path of the subgame perfect Nash…Using a payoff matrix/table to determine the equilibrium outcome Suppose there are only two firms that sell smartphones, Flashfone and Pictech. The following payoff matrix/table shows the profit (in millions of dollars) each company will earn, depending on whether it sets a high or low price for its phones. Pictech Pricing High Low Flashfone Pricing High 10, 10 4, 12 Low 12, 4 9, 9 For example, the lower left cell shows that if Flashfone prices low and Pictech prices high, Flashfone will earn a profit of $12 million and Pictech will earn a profit of $4 million. Assume this is a simultaneous game and that Flashfone and Pictech are both profit-maximizing firms. If Flashfone prices high, Pictech will make more profit if it chooses a price, and if Flashfone prices low, Pictech will make more profit if it chooses a price. If Pictech prices high, Flashfone will make more profit if it chooses a price, and if Pictech prices low, Flashfone will make…
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