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For questions 26 - 29 consider the following research and development game. Firms A and B are contemplating whether or not to invest in R&D.
For questions 26 - 29 consider the following "research and development" game. Firms A and B are contemplating whether or not to invest in R&D. Each has two options: "Invest" and "Abstain." A firm that invests will invent product X with a probability of 0.5, whereas a firm that abstains is incapable of invention. Investment costs $6. If a firm doesn't invent X, it makes $0 in revenue. If a firm invests and is the only one to invent X, it becomes a monopolist and generates $20 in revenue. If both firms invent X, each firm becomes a duopolist, and generates $8 in revenue. Revenues are gross figures (i.e. they are not net of investment costs), and there are no costs besides investments costs (i.e. no variable cost of production etc.). The firms are risk-neutral entities, and are uninformed of each other's investment decisions. Which of the following statements are correct? If Firm A and Firm B invest, there is a 0.25 probability that Firm A will become a monopolist and make $20 in revenue. If Firm A and Firm B invest, there is a 0.25 probability that Firm A will become a duopolist and make $8 in revenue. If
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