Question is shown in the two images below - (a) and (b) respectively:

6. (10 points) We have available T units of a divisible good that must be distributed to 71 agents. Each agent i has an ideal amount p,- of the good that they would like: any allocation that departs from this ideal, either larger or smaller, is considered undesirable: Thus, if agent i receives 33,, then their utility is |a:,v p,|. (Think of this as the cost from deviating from the ideal allocation.) The designer would like to allocate all T units, but cannot observe the ideal amount p, for any agent 7}. So the designer sets up the following game: First, each agent submits a report 7\(b) Show that reporting 7\":- : p; is a Nash Equilibrium for each player 73. (Here, p1- is the true ideal amount for each player 2' and Ti is What player 2' reports as being their ideal amount. This question asks you to show that reporting truthfully is a Nash equilibrium for each player.)