Problem 7. Let N = {w1, W2, W3, w4} and consider the following information structure on = = Po = {2}, P1 = {{wi, w2}, {w3, wa}}, P2 = {{wi}, {w2},{w3},{w4}} If Qlwi) = for each i = 1, ..., 4, the process X (Xo = 5, X1, X2) is a martingale with respect (Pi)-o and == = = i= if w=wi if w=w2 X2(W) = 5 if w=W3 = 1 if w = W4 = 2 Calculate x. Problem 7. Let N = {w1, W2, W3, w4} and consider the following information structure on = = Po = {2}, P1 = {{wi, w2}, {w3, wa}}, P2 = {{wi}, {w2},{w3},{w4}} If Qlwi) = for each i = 1, ..., 4, the process X (Xo = 5, X1, X2) is a martingale with respect (Pi)-o and == = = i= if w=wi if w=w2 X2(W) = 5 if w=W3 = 1 if w = W4 = 2 Calculate x