Market Justice vs. Egalitarianism: The Role of the Alpha Parameter in Economic Equilibrium

This article explores the existence and efficiency of a self-enforcing Nash equilibrium in a free economy that incorporates social justice.


This content originally appeared on HackerNoon and was authored by Tokenomy

Abstract and 1. Introduction

  1. A free and fair economy: definition, existence and uniqueness

    2.1 A free economy

    2.2 A free and fair economy

  2. 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

  3. Equilibrium efficiency in a free and fair economy

  4. 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

  5. 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

  6. Contributions to the closely related literature

  7. Conclusion and References

Appendix

5.1 Equilibrium existence and efficiency in a free economy with social justice

In what follows, we study the existence of equilibrium in an α-free economy with social justice. As defined in Section 3.1, a free economy with social justice admits an equilibrium if the strategic form game derived from that economy possesses a pure strategy Nash equilibrium. A meritocratic planner will choose a higher α when allocating resources since talents and merits have more value in such a society. An egalitarian planner will put a higher weight on equal distribution. It follows that a choice of α reveals a trade-off between market justice and egalitarianism. The good news is that there exists a self-enforcing social contract irrespective of the size of α. We have the result hereunder.

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\ The proof of Corollary 1 is similar to that of Theorem 2. Next, we provide an additional result about Pareto-efficiency of equilibria in a free economy with social justice.

\

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\ Using Theorem 4, we deduce the following corollary.

\

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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).

:::


:::info This paper is available on arxiv under CC BY 4.0 DEED license.

:::

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This content originally appeared on HackerNoon and was authored by Tokenomy


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