Need help with 2.5

2.1. Does a utilitarian decision maker choose the same allocation as a Rawlsian decision maker? For each decision maker, write down their social welfare function (SWF) and calculate the values of the SWF for each allocation. (10 marks) 2.2. Does the SWF of the utilitarian decision maker satisfy the property of anonymity? (7 marks) 2.3. Does the SWF of the Rawlsian decision maker satisfy the property of the Pareto principle? (7 marks) 2.4. Which allocation is chosen according to the Borda count? (6 marks) 2.5. Individual 3 updated their reported utility values in the following way: Allocation A Allocation B Allocation C Allocation D Individual 1 4 5 15 10 Individual 2 9 7 10 2 Individual 3 10 7 4 6 Individual 4 9 8 7 5 Will the same allocation as in part 2.4 be chosen according to the Borda count? What does this example demonstrate? (10 marks) 2.1. Does a utilitarian decision maker choose the same allocation as a Rawlsian decision maker? For each decision maker, write down their social welfare function (SWF) and calculate the values of the SWF for each allocation. (10 marks) 2.2. Does the SWF of the utilitarian decision maker satisfy the property of anonymity? (7 marks) 2.3. Does the SWF of the Rawlsian decision maker satisfy the property of the Pareto principle? (7 marks) 2.4. Which allocation is chosen according to the Borda count? (6 marks) 2.5. Individual 3 updated their reported utility values in the following way: Allocation A Allocation B Allocation C Allocation D Individual 1 4 5 15 10 Individual 2 9 7 10 2 Individual 3 10 7 4 6 Individual 4 9 8 7 5 Will the same allocation as in part 2.4 be chosen according to the Borda count? What does this example demonstrate? (10 marks)