Applications of Monge-Kantorovich-Type Duality Theorems in Economic Theory

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School of Business | Bachelor's thesis
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Date

2025

Department

Taloustieteen laitos

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Mcode

Degree programme

Taloustiede

Language

en

Pages

18+4

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Abstract

In this thesis I study some applications in the literature of Monge-Kantorovich-type duality theorems. Two main models are discussed, a two-sided matching model and a principal-agent model. I conclude that the applicability of the theorems depends on the mathematical structure of the problem, with convexity and linearity playing a large role.

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Thesis advisor

Kitti, Mitri

Keywords

optimal transport, conjugate duality, matching model, principal-agent model

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https://urn.fi/URN:NBN:fi:aalto-202505254042

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[kand] Kauppakorkeakoulu / BIZ