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i dont understand the whole question QUESTION 1 Criminals escape from the Island of Marou either by the East Bridge or the West Bridge. The

i dont understand the whole question

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QUESTION 1 Criminals escape from the Island of Marou either by the East Bridge or the West Bridge. The Sheriff can monitor only one bridge at a time. Crossing the West Bridge is a more treacherous, dangerous journey (half of those who try to cross die on the way). The Sheriff is paid $1,000 whenever he captures a criminal, but not when a criminal dies on the way. Each player tries to maximize his payoffs - the chance of escape for the criminal and the expected bonus payment for the Sheriff. The resulting game is represented below. Sheriff East West East 0.0 , 1000 1.0 , 0.0 Criminal West 0.5 , 0.0 0.0 , 500 a) Explain what you understand by a dominant strategy. Support your answer with examples. [2marks] b) Does the Sheriff have a dominant strategy? Explain. [2 marks] c) Does the Criminal have a dominant strategy? Explain. [2 marks] d) Find the Nash equilibrium. Explain. [2 marks] e) What is the criminal's chance of escape? Explain your answer. [3 marks] f) Give the example of a prisoner's dilemma game in a simultaneous form and convert same in sequential form. Explain the concept of backward induction. (Do not use same example as in the lecture notes) [5 marks] g) Use examples to differentiate and explain a one-shot game and a repeated game. [5 marks] h) Use examples to differentiate and explain a symmetrical and a non-symmetrical game. [5 marks] i) To encourage higher effort on the part of the Sheriff, his bonus is doubled. Every time he captures a criminal, he receives $2,000. That is, the Sheriff's payoffs in the above game are all doubled. How does this change the above matrix? Explain. [4 marks] [30 marks]

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