Many-event-based models of market following from the eventological $H$-theorem

Oleg Yu. Vorobyev, Elena E. Goldenok

Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia

Abstract: Many-events-based and many-agent eventological models of supply and demand are offered. In these models new concepts of equilibrium intervals of prices and subsets of goods are introduced for the first time. These models follow from the eventological $H$-theorem (eventological generalization of Boltzmann's $H$-theorem) which serves as a theoretical base for an application of eventological distributions of supply and demand in the mathematical description of many-agent and many-events-based market systems.

Keywords: event, probability, eventology, eventological $H$-theorem, demand, supply, market, many-agent system, many-events-based system, equilibrium interval of prices, equilibrium interval of sets of goods.

UDC: 519.248:[33+301+159.9]

Received: 09.02.2011
Received in revised form: 09.03.2011
Accepted: 09.05.2011

Language: English