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b. Sam's company is deciding whether to work in collaboration with an autonomous motorbike company (MoTo) to further develop their navigation software, or to compete and develop their own software. The respective pay-offs can be modelled as a version of the prisoner's dilemma, a widely analysed game in game theory. Suppose the pay-offs can be represented using the following pay-off matrix. Sam competes (defects) Sam cooperates MoTo competes (defects) Sam scores MoTo scores 1 Sam scores 5, MoTo scores 4 MoTo cooperates Both score 2 Both score 6 Use the table to help answer the following questions. i. If MoTo knows that Sam will cooperate, what strategy should they take to maximise their pay-off? What pay- off would they each receive? (2 marks) ii. If Sam wanted to minimise MoTo's pay-off from defecting, what strategy should Sam use? Why might this be bad for Sam? (2 marks) iii. Why would it make sense for MoTo to always cooperate? (2 marks) iv. When navigating in a large city, there are potentially billions of different routes between a vehicle's current location and the desired destination. In this context, why would a structured search be more appropriate than a brute-force search? (2 marks)
b. Sam's company is deciding whether to work in collaboration with an autonomous motorbike company (MoTo) to further dev
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b. Sam's company is deciding whether to work in collaboration with an autonomous motorbike company (MoTo) to further dev
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