Question 2 N-risk neutral agents. Each agent is endowed with a type (stochastic and independent) over different agents. A profile list (ol... on). A is a collection of actions. For each profile the probability to win are the same for each auction in A. Lowest bid gets 0 payoff. Each auction generates same revenue. Let (N, V) be a game with N players and V characteristic function. a) Write drown the reduce game property. b) N= (1,2,3) V(N)=12 and V ((1,2)) = 8. All other coalitions = 0 Determine the nucleolus (explain method). Assume nucleolus = X= (5,5,2) c) Consider the reduce game (S, Vx) Check nucleolus satisfy the reduce game property in case S (1,2) and S=(1,3). 4) Do you reject the Shapky value because it violates the reduce game property