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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. 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.

  4. Fundamental theorems of welfare economics - Wikipedia

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

    The optimality condition for production is equivalent to the pair of requirements that (i) price should equal marginal cost and (ii) output should be maximised subject to (i). Lerner thus reduces optimality to tangency for both production and exchange, but does not say why the implied point on the PPF should be the equilibrium condition for a ...

  5. Kalai–Smorodinsky bargaining solution - Wikipedia

    en.wikipedia.org/wiki/Kalai–Smorodinsky...

    The Nash and KS solutions both agree on the following three requirements: Pareto optimality is a necessary condition. For every bargaining problem, the returned agreement (,) must be Pareto-efficient. Symmetry is also necessary. The names of the players should not matter: if player 1 and player 2 switch their utilities, then the agreement ...

  6. 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 ...

  7. Economic efficiency - Wikipedia

    en.wikipedia.org/wiki/Economic_efficiency

    [citation needed] Furthermore, Pareto efficiency is a minimal notion of optimality and does not necessarily result in a socially desirable distribution of resources, as it makes no statement about equality or the overall well-being of a society. [5] [6]

  8. Efficient envy-free division - Wikipedia

    en.wikipedia.org/wiki/Efficient_envy-free_division

    Given a set of resources and a set of agents, the goal is to divide the resources among the agents in a way that is both Pareto efficient (PE) and envy-free (EF). The goal was first defined by David Schmeidler and Menahem Yaari. [1] Later, the existence of such allocations has been proved under various conditions.

  9. Kaldor–Hicks efficiency - Wikipedia

    en.wikipedia.org/wiki/Kaldor–Hicks_efficiency

    The Kaldor criterion is that an activity moves the economy closer to Pareto optimality if the maximum amount the gainers are prepared to pay to the losers to agree to the change is greater than the minimum amount losers are prepared to accept; the Hicks criterion is that an activity moves the economy toward Pareto optimality if the maximum ...