Volume 2, Number 2 (2017)
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Home > Journals > SCIREA Journal of Mathematics > Archive > Paper Information

From the Ideas of Edgeworth and Pareto in Exchange Economy to Multi-Objective Mathematical Programming

Volume 2, Issue 2, April 2017    |    PP. 15-27    |PDF (321 K)|    Pub. Date: April 25, 2017
143 Downloads     1308 Views  

Author(s)
Zdravko Dimitrov Slavov, Varna Free University, Varna, Bulgaria
Christina Slavova Evans, The George Washington University, Washington DC, USA

Abstract
In this paper we consider the first general theories of multi-objective mathematical programming. They stem from optimization techniques in economics and are attributed to the economists Francis Edgeworth and Vilfredo Pareto. We will focus our attention on these ideas from a mathematical point of view.

Keywords
optimization, multi-objective mathematical programming, Edgeworth-box, Pareto-optimal, equilibrium.

Cite this paper
Zdravko Dimitrov Slavov, Christina Slavova Evans, From the Ideas of Edgeworth and Pareto in Exchange Economy to Multi-Objective Mathematical Programming, SCIREA Journal of Mathematics. Vol. 2 , No. 2 , 2017 , pp. 15 - 27 .

References

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[ 7 ] J. Jahn, Vector Optimization: Theory, Applications, and Extensions. Springer, 2004.
[ 8 ] T. Koopmans, Analysis of Production as an efficient Combination of Activities, in T. Koopmans, editor, Cowles Commission for Research in Economics Monograph N:13, John Wiley and Sons, 1951, 33-97.
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[ 13 ] R. Steuer, Multiple Criteria Optimization: Theory, Computation and Application, John Wiley and Sons, 1986.

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