Assume two high-tech companies, X and Y, are the only producers of a new
product that is used my numerous computer manufacturers. The total demand for the new product is fixed and the price is set. Each firm's market share and profits are a function of the size of its advertising and promotional campaigns.
If the two firms engage in limited campaigns, each will earn an annual profit of $10 million. If the two firms undertake extensive advertising campaigns, each will earn annual profits of $5 million. In both of the above outcomes, each firm will capture half of the market. If one firm engages in a limited campaign and the other in an extensive campaign, the firm with the extensive campaign will have the larger market share and earn an annual profit of $9 million and the other firm will earn a profit of $3 million.
a. Assuming a simultaneous move, non-repeated interaction game, identify the
Nash equilibrium or multiple equilibrium, assuming there is one.
b. Does either of the players have a dominant strategy. If so, what is it?
c. Is this an example of prisoner's dilemma? Explain your answer.© BrainMass Inc. brainmass.com October 25, 2018, 12:59 am ad1c9bdddf
See the attached file. We can determine whether equilibrium exists by noting each firm's choices in each situation. If Firm 2 has a limited campaign, firm 1 will want a limited one as well. However, if firm 2 has an extensive campaign, firm 1 will want to have an extensive one as well. The same holds for firm ...
Use of strategy in determining campaigns for high tech companies
Game theory question on pricing
11. Coca-Cola and Pepsi Co are the leading competitors in the market for cola products. In 1960 Coca Cola introduced Sprite, which today is the worldwide leader in the lemon-lime soft drink market and ranks 4th among all soft drinks worldwide. Prior to 1999, PepsiCo did not have a product that competed directly against Sprite and had to decide whether to introduce such a soft drink. By not introducing a lemon lime soft drink, PepsiCo would continue to earn a $200 million profit, and Coca-Cola would continue to ear a $300 million profit. Suppose that by introducing a new lemon lime soft drink, one of the two possible strategies could be pursued: 1) PepsiCo could trigger a price war with Coca-Cola in both the lemon-lime and cola markets, or 2) Coca-Cola could acquiesce and each firm maintain its current 50/50 split of the cola market and split the lemon lime market 30/70 (PepsiCo / Coca Cola). If PepsiCo introduced a lemon-lime soft drink and a price ware resulted, both companies would earn profits of $100 million. Alternatively, Coca Cola and Pepsi Co would earn $275million and $227 million, respectively, if PepsiCo introduced a lemon lime soft drink and Coca Cola acquiesced and split the markets as listed above. If you were a manager at Pepsi Co, would you try to convince your colleagues that introducing the new soft drink is the most profitable strategy? Why or Why not?
13. Price comparison services on the Internet (as well as "shopbots") are a popular way for retailers to advertise their products and a convenient way for consumers to simultaneously obtain price quotes from several firms selling an identical product. Suppose that you are the manager of Digital Camera, Inc., a firm that specialized in selling digital cameras to consumers that advertises with an Internet price comparison service. In the market for one particular high-end camera, you have only one rival firm - The Camera Shop- with whom you competed for the last four years by setting prices day after day. Being savvy entrepreneurs, the ease of suing the Internet to monitor rival firms prices has enabled you and your rival to charge extremely high prices for this particular camera. In a recent newspaper article, you read that The Camera Shop has exhausted its venture capital and that no new investors are willing to sink money into the company. As a result, The Camera Shop will discontinue its operations next month. Will this information alter your pricing decisions today? Explain.View Full Posting Details