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A special case of this setting is when dividing rooms in an apartment between tenants. It is characterized by three requirements: (a) the number of agents equals the number of items, (b) each agent must get exactly one item (room), (c) the total amount of money paid by the agents must equal a fixed constant, which represents the total apartment rent.
An allocation that is both MBB and e-pEF1 is also e-EF1. [9]: Lem.4.1 Least-spender: Given an allocation and a price-vector, it is the agent i such that p(X i) is smallest (ties are broken based on some prespecified ordering of the agents). Note that an allocation is e-pEF1 iff the e-pEF1 condition is satisfied for the least spender (as agent i).
An allocation is necessarily envy-free (NEF) if it is envy-free according to all responsive bundle-rankings consistent with the item-ranking; An allocation is possibly envy-free (PEF) if for each agent i, there is at least one responsive bundle-ranking consistent with i's item-ranking, by which i does not envy;
Fair item allocation is a kind of the fair division problem in which the items to divide are discrete rather than continuous. The items have to be divided among several partners who potentially value them differently, and each item has to be given as a whole to a single person. [1]
Many other presidents have followed Jefferson's example. From time to time, they refused to spend funds when they felt that Congress had appropriated more funds than was necessary. [citation needed] However, the impoundment power had limits. For example, in 1972, Richard Nixon attempted to impound funds on an environmental project which he opposed.
Building the fighter jet starts with the assembly of its wing section. Construction of the airframe then moves down the production line to an area where the four major structure pieces of the jet ...
Asset allocation is the value added by under-weighting cash [(10% − 30%) × (1% benchmark return for cash)], and over-weighting equities [(90% − 70%) × (3% benchmark return for equities)]. The total value added by asset allocation was 0.40%. Stock selection is the value added by decisions within each sector of the portfolio.
Purchase price allocation (PPA) is an application of goodwill accounting whereby one company (the acquirer), when purchasing a second company (the target), allocates the purchase price into various assets and liabilities acquired from the transaction.