2008
DOI: 10.1007/s10614-008-9128-4
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A Statistical Mechanic View of Macro-dynamics in Economics

Abstract: Heterogeneity, Interaction, Agent-based-models, Statistical mechanics, Master equation, Kramers–Moyal expansion, Fokker–Planck equation, Mean field theory, C02, E20,

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Cited by 17 publications
(6 citation statements)
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“…At this stage it is possible to apply the method detailed in Di Guilmi (2008) and Landini and Uberti (2008) to obtain the dynamics for m and s. First, by means of lead and lag operators, probability fluxes in and out of the states can be treated as homogeneous. Then, the Taylor series expansion of the modified master equation identifies a Fokker-Planck equation for the transition density of the spread Q(s, τ ) depending on the trend and the diffusion of the process according to…”
Section: The System Dynamicsmentioning
confidence: 99%
“…At this stage it is possible to apply the method detailed in Di Guilmi (2008) and Landini and Uberti (2008) to obtain the dynamics for m and s. First, by means of lead and lag operators, probability fluxes in and out of the states can be treated as homogeneous. Then, the Taylor series expansion of the modified master equation identifies a Fokker-Planck equation for the transition density of the spread Q(s, τ ) depending on the trend and the diffusion of the process according to…”
Section: The System Dynamicsmentioning
confidence: 99%
“…Third: if one is allowed to assume the van Kampen's ansatz (34) and mean-field interaction, rather than global, is considered, then the needed condition for a suitable second order approximation are met. The method is here developed following Landini and Uberti (2008) and Di Guilmi et al (2011).…”
Section: Master Equation's Solution: Stochastic Dynamics Of Trend Andmentioning
confidence: 99%
“…See Foley (1994); Aoki (1996Aoki ( , 2002; Aoki and Yoshikawa (2006). Further developments of these contributions are: Landini and Uberti (2008), Di Guilmi (2008) and Di Guilmi et al (2011). 4.…”
mentioning
confidence: 99%
“…where ( ) L P and 1 ( ) L P are lead and lag operators, reformulated in the following way according to Aoki (1996) and Landini and Uberti (2008):…”
Section: A2 Appendix Bmentioning
confidence: 99%