Question 1 Consider 5 individuals who make a team on a group project with 5 tasks that the members need to divide up evenly. The agents' preferences are as follows 11 12 13 14 15 t3 t5 t3 t3 t4 t5 t₁ t4 t₁ t₁ t1 t3 t2 t2 t2 t₁ t2 t₁ t3 t5 t2 t4 t5 t4 t3 (a) Suppose that individuals are ordered as follows: 5,3,4,2,1. What is the assignment produced with the serial dictatorship? (b) Suppose that for j = 1,...,5 individual ij owns task tj. If individuals are allowed to trade tasks, find an allocation that is in the core (c) Provide the order of agents for which the serial dictatorship produces the same allocation as part b

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