Bridging economic insights through fixed point theory and game theory applications
Khalid El Hajiouielhajkhalid@hotmail.comFaculté d’Economie et de GestionB.P. 133Ibn Tofaï UniversityKenitra, 14000, MoroccoView full profile → , *Radouane AzennarCorresponding authorradouane.azennar@uit.ac.maDepartment of MathematicsFaculty of SciencesB.P. 133Ibn Tofaï UniversityKenitra, 14000, MoroccoView full profile →
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- Received:
- 09 Jan 2024
- Published Online:
- 30 Nov 2024
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2006
- Pages:
- 1663–1677
Abstract
Keywords
Subject Classifications
References
[1] C. D. Aliprantis and R. Tourky, Cones and Duality, Graduate Studies in Mathematics, vol. 84, Providence, RI, USA: American Mathematical Society, xiv+279 (2007).
[2] J. P. Aubin, Mathematical Methods of Games and Economic Theory, Amsterdam, Netherlands: North-Holland (1982).
[3] A. Radouane and D. Mentagui, “A solution for the minimax problem via fixed point theory in complete ordered locally convex spaces,” Commun. Optim. Theory, vol. 2020, no. 11, pp. 1–10 (2020).
[4] J. Banas and K. Goebel, Measure of Noncompactness in Banach Spaces, New York, NY, USA: Dekker (1980).
[5] C. S. Heikkilä, Fixed Point Theory in Ordered Sets and Applications: From Differential and Integral Equations to Game Theory, New York, NY, USA: Springer (2010).
[6] C. H. Chen, “Applying game theory in Newsvendor’s supply chain model,” J. Inf. Optim. Sci., vol. 42, no. 6, pp. 1367–1382 (2021).
[7] C. Berge, Espaces Topologiques-Fonctions Multivoques, Paris, France: Dunod (1959).
[8] S. Cobzas, “Fixed point theorems in locally convex spaces: The Schauder mapping method,” Fixed Point Theory Appl., vol. 2006, Article ID 57950, pp. 1–13 (2006). DOI: 10.1155/FPTA/2006/57950.
[9] A. Cournot, 1st ed., p. 11 (1982). eBook ISBN 9781003051091.
[10] K. Deimling, Nonlinear Functional Analysis, New York, NY, USA: Springer-Verlag 91984).
[11] G. Demange Delta and J. P. Ponssard, Théorie des jeux et analyse économique, Économie Series, Paris, France: Presses Universitaires de France, p. 9 (1994).
[12] E. Denécé, “Diplomatie économique et compétition des États,” Géoéconomie, no. 56, pp. 71–78 (2011).
[13] B. C. Dhage, “A fixed point theorem for multivalued mappings in ordered Banach spaces with applications I,” Nonlinear Anal. Forum, vol. 10, no. 1, pp. 105–126 (2005).
[14] B. C. Dhage, D. O’Regan, and R. P. Agarwal, “Common fixed point theorems for a pair of countably condensing mappings in ordered Banach spaces,” J. Appl. Math. Stoch. Anal., vol. 16, no. 3, pp. 243–248(2003).
[15] E. Nicolas, Théorie des Jeux, Paris, France: Dunod, p. 6 (2013).
[16] R. Engelking, General Topology, 2nd ed., Sigma Series in Pure Mathematics, vol. 6, Berlin, Germany: Heldermann (1989).
[17] G. Amory, “Apports et limites de la théorie des jeux,” Regards croisés sur l’économie, vol. 22, no. 1, pp. 68–71 (2018).
[18] H. Günerhan, M. Yiğider, J. Manafian, and O. Alp Ilhan, “Numerical solution of fractional order logistic equations via conformable fractional differential transform method,” J. Interdiscip. Math., vol. 24, no. 5, pp. 1207–1220 (2021). DOI: 10.1080/09720502.2021.1918319.
[19] A. Hajji and E. Hanebaly, “Commutating mappings and α-compact type fixed point theorems in locally convex spaces,” Int. J. Math. Anal., vol. 1, pp. 661–680 (2007).
[20] K. Fan, “Fixed-point and minimax theorems in locally convex topological linear spaces,” Department of Mathematics, University of Notre Dame, communicated by J. von Neumann, Dec. 13 (1951).
[21] K. Leyton-Brown and Y. Shoham, Essentials of Game Theory: A Concise, Multidisciplinary Introduction, San Rafael, CA, USA: Morgan & Claypool Publishers (2008).
[22] L. Kaniok, “On measures of noncompactness in general topological vector spaces,” Comment. Math. Univ. Carolinae, vol. 31, no. 3, pp. 479–487 (1990).
[23] J. F. Nash, “Equilibrium points in n-person games,” Proc. Natl. Acad. Sci., vol. 36, pp. 48–49 (1950).
[24] Nobel Prize in Economics, “J. F. Nash 1994, Reinhard Selten and John Harsanyi 2005, Thomas Schelling and Robert Aumann 2007, Leonid Hurwicz, Eric Maskin and Roger Myerson 2012, Alvin Roth and Lloyd Shapley 2014, Jean Tirole.”
[25] S. Erden and M. Z. Sarikaya, “Pre-Grüss inequality involving conformable fractional integrals and its applications for random variables,” J. Interdiscip. Math., vol. 22, no. 5, pp. 757–771 (2019). DOI: 10.1080/09720502.2019.1675289.
[26] T. C. Schelling, The Strategy of Conflict, Cambridge, MA, USA: Harvard University Press (1960).
[27] J. von Neumann and O. Morgenstern, Theory of Games and Economic Behavior, Princeton, NJ, USA: Princeton University Press (1944). ISBN: 978-0691003627.
[28] J. von Neumann, “Über ein ökonomisches Gleichungssystem und eine Verallgemeinerung des Brouwerschen Fixpunktsatzes,” Ergebnisse eines Mathematischen Kolloquiums, vol. 8, pp. 73–83 (1937).




