20.500.12556/RUL-118034 Boltzmann-Gibbsova porazdelitev denarja delo diplomskega seminarja The Boltzmann-Gibbs distribution of money To delo obravnava uporabo metod fizike na statističnih modelih za porazdelitev denarja, kot primer pristopa ekonofizike. V zaprtem gospodarskem sistemu se denar ohranja. Po analogiji z energijo mora ravnotežje verjetnostne porazdelitve denarja slediti Boltzmann-Gibbsovem zakonu, pri čemer je efektivna temperatura enaka povprečnemu znesku denarja na agenta. Numerične simulacije kažejo, da to drži vsaj takrat, ko je število agentov in povprečni znesek denarja na agenta velik. Glavni cilj diplomskega dela je ta rezultat dokazati. This paper is concerned with the application of the methods of physics to statistical models for money distribution as an example of the approach of econophysics. In a closed economic system, money is conserved. By analogy with energy, the equilibrium probability distribution of money must follow the exponential Boltzmann-Gibbs law characterized by an effective temperature equal to the average amount of money per economic agent. Numerical simulations suggest that at least when the number of agents and the average amount of money per agent are large, this is true. The main objective of this paper is to give a rigorous proof of this result. statistična mehanika Boltzmann-Gibbsov zakon gospodarstvo verjetnostna porazdelitev stacionarna porazdelitev simetrija obrata časa ohranitveni zakon Markovske verige statistical mechanics Boltzmann-Gibbs law economy probability distribution stationary distribution time-reversal symmetry conservation law Markov chains true false false Slovenski jezik Angleški jezik Delo diplomskega seminarja/zaključno seminarsko delo/naloga 2020-08-15 08:15:16 2020-08-15 08:15:21 2024-05-30 10:12:37 0000-00-00 00:00:00 2020 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.2 107770 33316611 1251.pdf 1251.pdf 1 0818D372A5D2BEA43936871606DF7B19 c7cbbdea63c9ec2d1f38d44cd3f8e5b3b158e827f0b57c69d5b198301a6d0005 4cd1c2f5-a1b9-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=131967 Fakulteta za matematiko in fiziko 0 0 0