Multiple equilibria in mean-field game models of firm competition with strategic complementarities

Dianetti J, Federico S, Ferrari G, Floccari G (2025)
Quantitative Finance .

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Autor*in
Dianetti, Jodi; Federico, Salvatore; Ferrari, GiorgioUniBi; Floccari, Giuseppe
Abstract / Bemerkung
We consider continuous-time mean-field stochastic games with strategic complementarities. The interaction between the representative productive firm and the population of rivals comes through the price at which the produced good is sold. Existence of minimal and maximal equilibria is shown via lattice-theoretical arguments, and sufficient conditions for deriving comparative statics of the equilibria are presented. A detailed numerical study, based on iterative schemes converging to the maximal and minimal equilibria, allows us to analyze in relevant financial examples of how the emergence of multiple equilibria is related to the intensity of strategic interactions.
Stichworte
Mean-field games; Supermodular cost function; Optimal production; Strategic complementarity; Tarski's fixed point theorem; Fictitious play
Erscheinungsjahr
2025
Zeitschriftentitel
Quantitative Finance
ISSN
1469-7688
eISSN
1469-7696
Page URI
https://pub.uni-bielefeld.de/record/3000254

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Dianetti J, Federico S, Ferrari G, Floccari G. Multiple equilibria in mean-field game models of firm competition with strategic complementarities. Quantitative Finance . 2025.
Dianetti, J., Federico, S., Ferrari, G., & Floccari, G. (2025). Multiple equilibria in mean-field game models of firm competition with strategic complementarities. Quantitative Finance . https://doi.org/10.1080/14697688.2024.2438217
Dianetti, Jodi, Federico, Salvatore, Ferrari, Giorgio, and Floccari, Giuseppe. 2025. “Multiple equilibria in mean-field game models of firm competition with strategic complementarities”. Quantitative Finance .
Dianetti, J., Federico, S., Ferrari, G., and Floccari, G. (2025). Multiple equilibria in mean-field game models of firm competition with strategic complementarities. Quantitative Finance .
Dianetti, J., et al., 2025. Multiple equilibria in mean-field game models of firm competition with strategic complementarities. Quantitative Finance .
J. Dianetti, et al., “Multiple equilibria in mean-field game models of firm competition with strategic complementarities”, Quantitative Finance , 2025.
Dianetti, J., Federico, S., Ferrari, G., Floccari, G.: Multiple equilibria in mean-field game models of firm competition with strategic complementarities. Quantitative Finance . (2025).
Dianetti, Jodi, Federico, Salvatore, Ferrari, Giorgio, and Floccari, Giuseppe. “Multiple equilibria in mean-field game models of firm competition with strategic complementarities”. Quantitative Finance (2025).
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