Forward Utility and Market Adjustments in Relative Investment-Consumption Games of Many Players

نویسندگان

چکیده

We study a portfolio management problem featuring many-player and mean-field competition, investment consumption, relative performance concerns under the forward processes (FPP) framework. focus on agents using power (CRRA) type FPPs for their investment-consumption optimization an common noise Merton market model we solve both game providing closed-form expressions solutions where limit of former yields latter. In our case, FPP framework continuum consumption component as indexed to parameter coin intensity. The permits agent set preference going in time that, competition reflects behaviour. show framework, no-competition, allows disentangle his risk-tolerance elasticity intertemporal substitution (EIS) just like Epstein-Zin preferences recursive utility unlike classical theory one. This, turn, finer analysis agent's income regimes, and, independent interest, motivates new strand economics research EIS We find that rescales perception non-trivial manner addition time-dependent conformity market's

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∗Institute of Mathematics; and Center for Rationality and Interactive Decision Theory; The Hebrew University of Jerusalem; Givat Ram; Jerusalem 91904; Israel. E-mail: [email protected] This research was in part supported by The Israel Science Foundation grant 382/98. J.E.L. Classification numbers. D70, D71, D63, C71

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ژورنال

عنوان ژورنال: Siam Journal on Financial Mathematics

سال: 2022

ISSN: ['1945-497X']

DOI: https://doi.org/10.1137/20m138421x