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  2. Pareto efficiency - Wikipedia

    en.wikipedia.org/wiki/Pareto_efficiency

    Constrained Pareto efficiency is a weakening of Pareto optimality, accounting for the fact that a potential planner (e.g., the government) may not be able to improve upon a decentralized market outcome, even if that outcome is inefficient. This will occur if it is limited by the same informational or institutional constraints as are individual ...

  3. 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 ...

  4. Multi-objective optimization - Wikipedia

    en.wikipedia.org/wiki/Multi-objective_optimization

    Multi-objective optimization or Pareto optimization (also known as multi-objective programming, vector optimization, multicriteria optimization, or multiattribute optimization) is an area of multiple-criteria decision making that is concerned with mathematical optimization problems involving more than one objective function to be optimized simultaneously.

  5. Social welfare function - Wikipedia

    en.wikipedia.org/wiki/Social_welfare_function

    Each can (and commonly does) incorporate Pareto efficiency. The possibility function also depends on technology and resource restraints. It is written in implicit form, reflecting the feasible locus of utility combinations imposed by the restraints and allowed by Pareto efficiency. At a given point on the possibility function, if the utility of ...

  6. Welfare economics - Wikipedia

    en.wikipedia.org/wiki/Welfare_economics

    Welfare economics is a field of economics that applies microeconomic techniques to evaluate the overall well-being (welfare) of a society. [1]The principles of welfare economics are often used to inform public economics, which focuses on the ways in which government intervention can improve social welfare.

  7. Pareto front - Wikipedia

    en.wikipedia.org/wiki/Pareto_front

    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 ...

  8. 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 ...

  9. Fractional Pareto efficiency - Wikipedia

    en.wikipedia.org/wiki/Fractional_Pareto_efficiency

    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 ...