The Mathematical Foundation of Fairness: Proving Key Principles in an Economic Model
Table of Links
Abstract and 1. Introduction
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A free and fair economy: definition, existence and uniqueness
2.1 A free economy
2.2 A free and fair economy
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Equilibrium existence in a free and fair economy
3.1 A free and fair economy as a strategic form game
3.2 Existence of an equilibrium
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Equilibrium efficiency in a free and fair economy
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A free economy with social justice and inclusion
5.1 Equilibrium existence and efficiency in a free economy with social justice
5.2 Choosing a reference point to achieve equilibrium efficiency
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Some applications
6.1 Teamwork: surplus distribution in a firm
6.2 Contagion and self-enforcing lockdown in a networked economy
6.3 Bias in academic publishing
6.4 Exchange economies
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Contributions to the closely related literature
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Conclusion and References
Appendix
Appendix
Proof of Proposition 1.
Sufficiency. We show that the allocation scheme Sh satisfies ALUM.
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\ It follows that the allocation Sh satisfies x-Anonymity for each x ∈ X. Hence, Sh satisfies Anonymity.
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:::info Authors:
(1) Ghislain H. Demeze-Jouatsa, Center for Mathematical Economics, University of Bielefeld (demeze jouatsa@uni-bielefeld.de);
(2) Roland Pongou, Department of Economics, University of Ottawa (rpongou@uottawa.ca);
(3) Jean-Baptiste Tondji, Department of Economics and Finance, The University of Texas Rio Grande Valley (jeanbaptiste.tondji@utrgv.edu).
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:::info This paper is available on arxiv under CC BY 4.0 DEED license.
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