The Monotonicity Theorem: How a Simple Condition Guarantees Equilibrium Uniqueness and Efficiency

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Table of LinksAbstract and 1. IntroductionA free and fair economy: definition, existence and uniqueness 2.1 A free economy 2.2 A free and fair economy Equilibrium existence in a free and fair economy 3.1 A free and fair economy as a strategic form game3.2 Existence of an equilibrium Equilibrium efficiency in a free and fair economy 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 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 Contributions to the closely related literature Conclusion and References Appendix4 Equilibrium efficiency in a free and fair economy\ \We have the following result.\ \In Theorem 2, we show that each weakly monotonic free and fair economy admits an equilibrium that is Pareto-efficient. Consider the strategic form game described in Table 5 below. The latter is derived from a free and fair economy with the profile o = (c, a) as the reference point. The economy admits two equilibria, namely, outcomes (c, a) and (d, b). The profile (d, b) is Pareto-efficient and it dominates the outcome (c, a).\ \ \ \:::infoAuthors:(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).::::::infoThis paper is available on arxiv under CC BY 4.0 DEED license.:::\