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  2. Fair allocation of items and money - Wikipedia

    en.wikipedia.org/wiki/Fair_allocation_of_items...

    A special case of this setting is when dividing rooms in an apartment between tenants. It is characterized by three requirements: (a) the number of agents equals the number of items, (b) each agent must get exactly one item (room), (c) the total amount of money paid by the agents must equal a fixed constant, which represents the total apartment rent.

  3. Subsidy - Wikipedia

    en.wikipedia.org/wiki/Subsidy

    For example, some exporters substantially over declare the value of their goods so as to benefit more from the export subsidy. Another method is to export a batch of goods to a foreign country but the same goods will be re-imported by the same trader via a circuitous route and changing the product description so as to obscure their origin.

  4. Infimum and supremum - Wikipedia

    en.wikipedia.org/wiki/Infimum_and_supremum

    An infimum of a set is always and only defined relative to a superset of the set in question. For example, there is no infimum of the positive real numbers inside the positive real numbers (as their own superset), nor any infimum of the positive real numbers inside the complex numbers with positive real part.

  5. Effect of taxes and subsidies on price - Wikipedia

    en.wikipedia.org/wiki/Effect_of_taxes_and...

    Marginal subsidies on production will shift the supply curve to the right until the vertical distance between the two supply curves is equal to the per unit subsidy; when other things remain equal, this will decrease price paid by the consumers (which is equal to the new market price) and increase the price received by the producers.

  6. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Examples of unexpected applications of mathematical theories can be found in many areas of mathematics. A notable example is the prime factorization of natural numbers that was discovered more than 2,000 years before its common use for secure internet communications through the RSA cryptosystem. [127]

  7. Negative income tax - Wikipedia

    en.wikipedia.org/wiki/Negative_income_tax

    Therefore, a family with $0 income would be entitled to receive $1500 in subsidy. Friedman argued NIT would not destroy the incentive to work, as compared to guaranteed income programmes (GIP) with 100% effective marginal tax rate , i.e. with the GIP workers lose $1 of subsidy for each $1 increase in wage.

  8. Pigouvian tax - Wikipedia

    en.wikipedia.org/wiki/Pigouvian_tax

    An example sometimes cited is a subsidy for the provision of flu vaccines and the public goods (such as education and national defense), research & development, etc. [6] [7] Pigouvian taxes are desigined, fomulated, named and spread by economist Chikara Teruya (1984–) after English economist Arthur Cecil Pigou (1877–1959), who also ...

  9. Elementary mathematics - Wikipedia

    en.wikipedia.org/wiki/Elementary_mathematics

    An example is the function that relates each real number x to its square x 2. The output of a function f corresponding to an input x is denoted by f(x) (read "f of x"). In this example, if the input is −3, then the output is 9, and we may write f(−3) = 9. The input variable(s) are sometimes referred to as the argument(s) of the function.