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Dan is Anna's colleague. Wen assigns Anna and Dan to work on a joint project, which can be described as a simultaneous move game with

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Dan is Anna's colleague. Wen assigns Anna and Dan to work on a joint project, which can be described as a simultaneous move game with the following payoffs: Anna Work Hard Shirk Work Hard y, y 3, 13 Dan Shirk 13, 3 X, X Suppose y=9 and x = 5. Find the Nash equilibria of this game. (1 mark) Suppose Wen wants both Dan and Anna to Work Hard and plans to set x and y values accordingly. What values of x and y would ensure that both Dan and Anna choose Work Hard? Interpret what such values of x and y could mean in reality. (1 mark)1) Anna is a salesperson working for CHERRY autonomous robot manufacturing company. The utility function of Anna is given by u(w, b, e) = w+b-c(e) where w E R is Anna's weekly wage, b is a bonus payment that is conditional on sales revenue, and c(e) is Anna's cost of effort where c(e) = 5 if e

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