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Figure 10-13 demonstrate the payoff matrix for the only 2-auto dealerships in a community, Jim's Autos and Tim's Autos. The matrix demonstrate the profits that each company would earn from selecting either a low price or a high price.
JIM'S AUCTIONSLOW PRICE HIGH PRICELOW PRICE TIM'S PROFIT 100,000 TIM'S PROFIT 250,000JIM'S PROFIT 100,000 JIM'S PROFIT -50,000TIM'S AUCTIONSHIGH PRICE TIM'S PROFIT -50,000 TIM'S PROFIT 200,000JIM'S PROFIT 250,000 JIM'S PROFIT 200,000
a.The dealers set their prices independently. What is dominant strategy for each dealer? Determine the optimal strategy for each firm. What is the optimal pay-off for each dealer? Explain briefly.b. If the dealers were to merge and both dealers were managed as a single business, how would this affect its pricing strategy? Explain.
Ken and Gerard are roommates for a weekend and have succeeded in making their living quarters cluttered in very little time.
Determine which pair of strategies would competing companies A and B choose given this payoff matrix?
Use the given payoff matrix for a simultaneous move one shot game to answer the accompanying questions.
Suppose you and your classmate are assigned a project on which you will earn one combined grade. You each wish to receive a good grade, but you also want to avoid hard work.
Assume that the companies in an oligopolistic market engage in a price war and, as a result, all companies earn lower profits. Game theory would describe this as what?
The market for olive oil in new York City is controlled by 2-families, Sopranos and Contraltos. Both families will ruthlessly eliminate any other family that attempts to enter New York City olive oil market.
The following payoff matrix represents long run payoffs for 2-duopolists faced with the option of purchasing or leasing buildings to use for production.
Little Kona is a small coffee corporation that is planning entering a market dominated through Big Brew. Each corporation's profit depends on whether Little Kona enters and whether Big Brew sets a high price or a low price.
Player 1 has the following set of strategies {A1;A2;A3;A4}; player 2’s set of strategies are {B1;B2;B3;B4}. Use the best-response approach to find all Nash equilibria.
Suppose two companies, A and B, that produce super computers. Each can manufacture the next generation super computer for math or for chip research.
Company A and B are battling for market share in two separate markets. Market I is worth $30 million in revenue; market II is worth $18 million.
Determine the solution to the given advertising decision game between Coke and Pepsi, assuming the companies act independently.
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