Hatfields utility function is given by UH(MH, MM) = M_H / Square M_M , where M_H is Hatfields wealth level and M_M is McCoys utility function takes a similar form: U_M (M_H,M_M) = M_M / Square M_H. Suppose there is a task, neither pleasant nor unpleasant, that Hatfield and McCoy can perform together and that will generate an additional 2 units of wealth for the two men to divide. Neither man can perform the task alone or woth anyone else.

• Suppose initially M_M=4 and M_H=2. Calculate Hatfields initial utility.
• Please compute the resulting utility of Hatfield when both cooperate and perform the aforementioned task together and split the reward evenly
• Assume the reward associated with the task is not necessarily split evenly. McCoy offers Hatfield a Payment P, keeping 2-P to himself. The lowest acceptable utility payment for Hatfield is the one that keeps his utility at the same level as if he did not participate. Please calculate this minimum payment level such that Hatfield accepts McCoys offer.