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

Zh. Vychisl. Mat. Mat. Fiz., 2023 Volume 63, Number 3, Pages 380–389 (Mi zvmmf11522)

Optimal control

A model of financial pyramid with quasi-rational participants

N. S. Kukushkinab

a Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control", Russian Academy of Sciences, 119333, Moscow, Russia
b Moscow Institute of Physics and Technology, 141700, Dolgoprudnyi, Moscow oblast, Russia

Abstract: A model of a financial pyramid is proposed in which each participant makes a decision about entering and exiting the pyramid based on the maximin principle using his (or her) ideas about the characteristics of other participants. If the pyramid organizers are able to carry out the whole process quickly enough (so that the payoffs to agents who participated in the pyramid and left it in time do not matter too much), then exactly those agents who overestimated the share of losers in the total mass of agents will lose.

Key words: financial pyramid, bounded rationality, maximin principle, fixed point.

UDC: 519.865

Received: 02.05.2022
Revised: 23.10.2022
Accepted: 14.11.2022

DOI: 10.31857/S0044466923030080


 English version:
Computational Mathematics and Mathematical Physics, 2023, 63:3, 360–368

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© Steklov Math. Inst. of RAS, 2025