Course Solutions Uncategorized (Solved) : 2 Consider Allocation M Indivisible Items N Agents Order Maximize Sum Valuations Suppose A Q26180382 . . . .

(Solved) : 2 Consider Allocation M Indivisible Items N Agents Order Maximize Sum Valuations Suppose A Q26180382 . . . .

 

2. We consider the allocation of m indivisible items to n agents, in order to maximize the sum of valuations (a) Suppose each agent i is interested in precisely one subset Si of the m items; her value for Si or any superset of S isv20, and her value for any other set of items is 0. Given all the Sis and vys as input, show that an allocation T T that maximizes the total values is NP-hard to compute. (By total value we mean the sum of the agents values for their allocated subsets.) (b) Suppose each agent 

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