In part B, consider 3 machines with loads 5,5,8 or 7,7,4. The sum is identical, but you can see how at least one person from every machine when the loads are 5,5,8 could improve their situation. ]]>

Given a NE (state A) if I can find a group of agents who can switch machines to make their utility better then before (state B), then the sum of loads on all machines in state B is strictly lower then the sum of loads in state A - this is not possible in this case of identical machines.

Where am I wrong?

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