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  2. Pareto efficiency - Wikipedia

    en.wikipedia.org/wiki/Pareto_efficiency

    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.

  3. Economic efficiency - Wikipedia

    en.wikipedia.org/wiki/Economic_efficiency

    A market can be said to have allocative efficiency if the price of a product that the market is supplying is equal to the marginal value consumers place on it, and equals marginal cost. In other words, when every good or service is produced up to the point where one more unit provides a marginal benefit to consumers less than the marginal cost ...

  4. Welfare economics - Wikipedia

    en.wikipedia.org/wiki/Welfare_economics

    The field of welfare economics is associated with two fundamental theorems. The first states that given certain assumptions, competitive markets (price equilibria with transfers, e.g. Walrasian equilibria [4]) produce Pareto efficient outcomes. [3] The assumptions required are generally characterised as "very weak". [9]

  5. Contract curve - Wikipedia

    en.wikipedia.org/wiki/Contract_curve

    In the case of two goods and two individuals, the contract curve can be found as follows. Here refers to the final amount of good 2 allocated to person 1, etc., and refer to the final levels of utility experienced by person 1 and person 2 respectively, refers to the level of utility that person 2 would receive from the initial allocation without trading at all, and and refer to the fixed total ...

  6. Allocative efficiency - Wikipedia

    en.wikipedia.org/wiki/Allocative_efficiency

    Allocative efficiency is a state of the economy in which production is aligned with the preferences of consumers and producers; in particular, the set of outputs is chosen so as to maximize the social welfare of society. [1] This is achieved if every produced good or service has a marginal benefit equal to the marginal cost of production.

  7. Fundamental theorems of welfare economics - Wikipedia

    en.wikipedia.org/wiki/Fundamental_theorems_of...

    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.

  8. Efficient approximately fair item allocation - Wikipedia

    en.wikipedia.org/wiki/Efficient_approximately...

    Efficiency notions: Pareto-efficiency, graph Pareto-efficiency (where Pareto-domination considers only exchanges between neighbors on a fixed graph), and group-Pareto-efficiency. An allocation X as k-group-Pareto-efficient (GPE k ) if there is no other allocation Y that is at least as good (by arithmetic mean of utilities) for all groups of ...

  9. Production–possibility frontier - Wikipedia

    en.wikipedia.org/wiki/Production–possibility...

    Pareto efficiency is achieved when the marginal rate of transformation (slope of the frontier/opportunity cost of goods) is equal to all consumers' marginal rate of substitution. Similarly, not all Pareto efficient points on the frontier are Allocative efficient. Allocative efficient is only achieved when the economy produces at quantities that ...