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Kinetic modeling of economic games with large number of participants
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- Bobylev, Alexander, 1947- (author)
- Karlstads universitet,Avdelningen för matematik,Kinetisk teori
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- Windfäll, Åsa, 1976- (author)
- Karlstads universitet,Avdelningen för matematik,Kinetisk teori
- (creator_code:org_t)
- American Institute of Mathematical Sciences, 2011
- 2011
- English.
- In: Kinetic and Related Models. - : American Institute of Mathematical Sciences. - 1937-5093 .- 1937-5077. ; 4:1, s. 169-185
- Journal article (peer-reviewed)
Abstract
Subject headings
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- We study a Maxwell kinetic model of socio-economic behavior introduced in the paper A. V. Bobylev, C. Cercignani and I. M. Gamba, Commun. Math. Phys., 291 (2009), 599-644. The model depends on three non-negative parameters where is the control parameter. Two other parameters are fixed by market conditions. Self-similar solution of the corresponding kinetic equation for distribution of wealth is studied in detail for various sets of parameters. In particular, we investigate the efficiency of control. Some exact solutions and numerical examples are presented. Existence and uniqueness of solutions are also discussed.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Maxwell models
- self-similar solutions
- distribution of wealth
- market economy
- Matematik
- Mathematics
Publication and Content Type
- ref (subject category)
- art (subject category)
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