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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2023 Volume 63, Number 3, Pages 355–379 (Mi zvmmf11521)

Optimal control

Economic growth models with heterogeneous discounting

K. Yu. Borisovab, M. A. Pakhninab

a European University at Saint Petersburg, 191187, St. Petersburg, Russia
b Institute for Problems of Regional Economics, Russian Academy of Sciences, 190013, St. Petersburg, Russia

Abstract: A survey of theoretical economic growth models with agents having different subjective discount factors is proposed. The structure of equilibrium paths in such models, their dynamics and convergence to stationary equilibria, and the relationship with Pareto optimal paths are described. Models with socially determined discount factors in which time preferences are formed endogenously are discussed, and the basic difficulties associated with social choice in the case of heterogeneous discount factors are examined. The models presented in the paper shed light on internal mechanisms of a market economy that lead to the division of society into the rich and the poor.

Key words: economic growth, inequality, heterogeneous agents, discounting, voting, general equilibrium.

UDC: 519.86

Received: 08.08.2022
Revised: 08.08.2022
Accepted: 17.11.2022

DOI: 10.31857/S0044466923030043


 English version:
Computational Mathematics and Mathematical Physics, 2023, 63:3, 337–359

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© Steklov Math. Inst. of RAS, 2024