The first theorem states conditions under which the allocation associated with any competitive market equilibrium is Pareto-optimal, whereas the second theorem states conditions under which any Pareto-optimal allocation can be achieved as a competitive market equilibrium following the use of lump-sum transfers of wealth.
Under grandfathering, the allocation results are predictable for all participants.
In instances where the network is under provisioned, the allocation of bandwidth to a subscriber should degrade in proportion to its agreed rate.
Proof: If the radio resource is sold at unit price pi, the BB's profit is the price p i multiplied by the total amount of the resource consumed under p i. Since the allocation under p i is ℜ i = [ r 0 i, r 1 i,..., r M i ], the total resource consumed is ∑ m = 1 M r m i.
Most recently, an investigation is under way into the allocation of India's coal assets (dubbed "Coalgate"), and the government has been assailed for promoting the power minister on the very day that India experienced the world's largest blackout.
Today, the term operations research (or, often management science) means a scientific approach to decision-making, which seeks to determine how best to design and operate a system, usually under conditions requiring the allocation of scarce resources.
Plasticity was simulated for 3 intensively measured forest stands, to see to what extent and under what conditions the allocation of resources (e.g., light) to the individual trees depended on their ground coordinates.
The selection of areas was performed under blinding for the allocation of study groups.
Under such circumstances, the allocation to a subgroup may have been influenced by the intervention in relation to the severity of the patient, causing an important bias.
After completing both tasks, they are asked how important (on a 0 10 scale) they consider the attributes under study in the allocation of scarce healthcare resources.
