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The Application of Lagrange Multipliers in Consumer Choice Theory

Result description

This article deals with the consumer choice theory developed by Irving Fisher, Francis Edgeworth, Vilfredo Pareto, and John Hicks. A three-dimensional utility function is presented as an alternative to indifference curves. In mainstream textbooks, the indifference curves together with the budget constraint are used to find the optimum of a consumer graphically at a point where the budget line is a tangent line to an indifference curve. In this article, a vertical cross-section of the three-dimensional utility function and the Lagrange multipliers are applied to find the optimum of a consumer directly from the three-dimensional utility function subject to the budget constraint.

Keywords

consumer choiceconsumer optimumindifference curvesthree-dimensional utility function

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    The Application of Lagrange Multipliers in Consumer Choice Theory

  • Original language description

    This article deals with the consumer choice theory developed by Irving Fisher, Francis Edgeworth, Vilfredo Pareto, and John Hicks. A three-dimensional utility function is presented as an alternative to indifference curves. In mainstream textbooks, the indifference curves together with the budget constraint are used to find the optimum of a consumer graphically at a point where the budget line is a tangent line to an indifference curve. In this article, a vertical cross-section of the three-dimensional utility function and the Lagrange multipliers are applied to find the optimum of a consumer directly from the three-dimensional utility function subject to the budget constraint.

  • Czech name

  • Czech description

Classification

  • Type

    Jost - Miscellaneous article in a specialist periodical

  • CEP classification

  • OECD FORD branch

    50201 - Economic Theory

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2022

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    ACTA VŠFS

  • ISSN

    1802-792X

  • e-ISSN

    1802-7946

  • Volume of the periodical

    16

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    13

  • Pages from-to

    63-75

  • UT code for WoS article

  • EID of the result in the Scopus database

Basic information

Result type

Jost - Miscellaneous article in a specialist periodical

Jost

OECD FORD

Economic Theory

Year of implementation

2022