A Proof Without Words and a Maximum Without Calculus

22 Pages Posted: 25 May 2014 Last revised: 5 Aug 2014

See all articles by Eloisa Campioni

Eloisa Campioni

University of Rome Tor Vergata - Dept. of Economics and Finance

Luca Panaccione

University of Rome Tor Vergata

Date Written: July 28, 2014

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.

Keywords: Proofs without words, Maximum without calculus, Economic applications

JEL Classification: A22, C61, C65

Suggested Citation

Campioni, Eloisa and Panaccione, Luca, A Proof Without Words and a Maximum Without Calculus (July 28, 2014). CEIS Working Paper No. 316, Available at SSRN: https://ssrn.com/abstract=2441245 or http://dx.doi.org/10.2139/ssrn.2441245

Eloisa Campioni (Contact Author)

University of Rome Tor Vergata - Dept. of Economics and Finance ( email )

Italy

Luca Panaccione

University of Rome Tor Vergata ( email )

via Columbia 2
Rome, IA Rome 00133
Italy

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