We study the problem of allocating m identical items among nm agents with unit demand and private value for consuming the good. We allow payments and focus on dominant-strategy implementation. In the absence of an auctioneer who can absorb payments collected from the agents, the payments must be...

We consider the problem of dividing a homogeneous divisible good among n players. Each player holds a private non-negative utility function that depends only on the amount of the good that he receives. We define the fair share of a player P to be the average utility that a player could receive...