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A Proof Without Words and a Maximum without Calculus

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Abstract

We define a standard optimization problem with quadratic objective function and provide a rigorous visual proof for its solution without using calculus. We then show that such standard problem is a building block for several economic models related to microeconomics, game theory and pricing strategies.

Suggested Citation

  • Eloisa Campioni & Luca Panaccione, 2014. "A Proof Without Words and a Maximum without Calculus," CEIS Research Paper 316, Tor Vergata University, CEIS, revised 05 Aug 2014.
  • Handle: RePEc:rtv:ceisrp:316
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    References listed on IDEAS

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    1. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
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    More about this item

    Keywords

    Proofs without words; Maximum without calculus; Economic applications;
    All these keywords.

    JEL classification:

    • A22 - General Economics and Teaching - - Economic Education and Teaching of Economics - - - Undergraduate
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools

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