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Fractional Pareto efficiency is a strengthening of Pareto efficiency in the context of fair item allocation. An allocation of indivisible items is fractionally Pareto-efficient (fPE or fPO) if it is not Pareto-dominated even by an allocation in which some items are split between agents. This is in contrast to standard Pareto efficiency, which ...
Price-taking behaviour: In game theoretic interactions, e.g. when firms have monopoly power, the resulting equilibrium is not pareto-efficient; Externalities: In many instances, prominently pollution & climate action, this assumption is violated. In certain instances, a Pigouvian tax can restore the pareto-efficient allocation.
The first fundamental welfare theorem provides some basis for the belief in efficiency of market economies, as it states that any perfectly competitive market equilibrium is Pareto efficient. The assumption of perfect competition means that this result is only valid in the absence of market imperfections, which are significant in real markets.
Arrow's impossibility theorem still holds if Pareto efficiency is weakened to the following condition: [4] Non-imposition For any two alternatives a and b, there exists some preference profile R 1, …, R N such that a is preferred to b by F(R 1, R 2, …, R N).
For example, if a pollution externality leads to overproduction of tires, a tax on tires might restore the efficient level of production. A condition inefficient in the "first-best" might be desirable in the second-best. To determine whether an activity is moving the economy towards Pareto efficiency, two compensation tests have been developed.
An allocation X is Pareto-efficient if no other allocation Pareto-dominates it. Sometimes, a distinction is made between discrete-Pareto-efficiency , which means that an allocation is not dominated by a discrete allocation, and the stronger concept of Fractional Pareto efficiency , which means that an allocation is not dominated even by a ...
In multi-objective optimization, the Pareto front (also called Pareto frontier or Pareto curve) is the set of all Pareto efficient solutions. [1] The concept is widely used in engineering . [ 2 ] : 111–148 It allows the designer to restrict attention to the set of efficient choices, and to make tradeoffs within this set, rather than ...
In economics and computer science, Fractional Pareto efficiency or Fractional Pareto optimality (fPO) is a variant of Pareto efficiency used in the setting of fair allocation of discrete objects. An allocation of objects is called discrete if each item is wholly allocated to a single agent; it is called fractional if some objects are split ...