Optimal consumption and investment under relative performance citeria with Epstein-Zin utility

Jodi Dianetti, Frank Riedel, and Lorenzo Stanza

We consider the strategic interaction of traders in a continuous-time financial market with Epstein-Zin-type recursive intertemporal preferences and performance concerns. We derive explicitly an equilibrium for the finite player and the mean-field version of the game, based on a study of geometric backward stochastic differential equations of Bernoulli type that describe the best replies of traders. Our results show that Epstein-Zin preferences can lead to substantially different equilibrium behavior.

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Year of publication:	[2024]
Authors:	Dianetti, Jodi ; Riedel, Frank ; Stanza, Lorenzo
Publisher:	Bielefeld, Germany : Center for Mathematical Economics (IMW), Bielefeld University
Subject:	Mean field games \| portfolio choice \| recursive utility \| stochastic differential utility \| BSDEs \| Theorie \| Theory \| Portfolio-Management \| Portfolio selection \| Nutzen \| Utility

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Extent:	1 Online-Ressource (circa 28 Seiten)
Series:	Working papers / Universität Bielefeld, Center for Mathematical Economics (IMW). - Bielefeld : IMW, ISSN 2942-9536, ZDB-ID 2437810-0. - Vol. 685 (February 2024)
Type of publication:	Book / Working Paper
Type of publication (narrower categories):	Graue Literatur ; Non-commercial literature ; Arbeitspapier ; Working Paper
Language:	English
Other identifiers:	hdl:10419/283550 [Handle]
Classification:	C02 - Mathematical Methods ; C61 - Optimization Techniques; Programming Models; Dynamic Analysis ; C73 - Stochastic and Dynamic Games ; G11 - Portfolio Choice
Source:	ECONIS - Online Catalogue of the ZBW

Persistent link: https://www.econbiz.de/10014473535