a and b

Question 5 An odd number n of agents are located along the line interval [I351] and must decide where to build a sports centre in that interval. The preferences of agenti {i=1,2,...,n:n are represented bv the utility function \"Jill: I - Ix'ler where x E [I11] denotes the location of the sports centre and x.- E [-3.1] is the location of agent i's home. The collective decision is made bv minimizing the sum of the distances between the centre and the agents' homes. 3} Draw the utility function of a representative agent. b} Is the chosen location a Condorcet winner? Explain your answer. [1o+1o = 2i!I marks]