By Anirban Chakraborti, Guido Germano (auth.), Giovanni Naldi, Lorenzo Pareschi, Giuseppe Toscani (eds.)
Mathematical modeling utilizing dynamical platforms and partial differential equations is now taking part in an expanding function within the realizing of advanced multi-scale phenomena. habit in possible various components akin to sociology, economics, and the existence sciences may be defined by means of heavily similar types. structures produced from a wide sufficient variety of person contributors should be acknowledged to show a collective habit, from which perception should be amassed in a manner that real-life experiments can't. utilizing examples from monetary markets and glossy war to the flocking of birds and the swarming of micro organism, the accumulated examine during this quantity demonstrates the typical methodological methods and instruments for modeling and simulating collective behavior.
particular themes lined include:
* research of wealth distributions
* dynamics of rate formation
* spreading of opinions
* versions of social behavior
* inhabitants dynamics
* aggregation and swarming
the themes offered aspect towards new and demanding frontiers of utilized arithmetic, making the quantity an invaluable reference textual content for utilized mathematicians, physicists, biologists, and economists all for the modeling of socio-economic systems.
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Additional info for Mathematical modeling of collective behavior in socio-economic and life sciences
Jeﬀeries, P. M. Hui, Financial Market Complexity, Oxford University Press, Oxford, UK, 2003. 28 Anirban Chakraborti and Guido Germano 82. W. B. Arthur, Inductive reasoning and bounded rationality, American Economic Review 84 (1994) 406–411. 83. M. Marsili, Market mechanism and expectations in minority and majority games, Physica A 299 (2001) 93–103. 84. D. Challet, M. -C. Zhang, Minority games and stylized facts, Physica A 299 (2001) 228–233. 85. D. Challet, A. Chessa, M. -C. Zhang, From minority games to real markets, Quantitative Finance 1 (2000) 168.
F. Slanina, Inelastically scattering particles and wealth distribution in an open economy, Physical Review E 69 (2004) 046102. 41. P. Repetowicz, S. Hutzler, P. Richmond, Dynamics of money and income distributions, Physica A 356 (2005) 641. 42. S. Cordier, L. Pareschi, G. Toscani, On a kinetic model for a simple market economy, Journal of Statistical Physics 120 (2005) 253. 43. D. Matthes, G. Toscani, On steady distributions of kinetic models of conservative economies, Journal of Statistical Physics 130 (2007) 1087.
Matthes, G. Toscani, Kinetic equations modelling wealth redistribution: A comparison of approaches, Physical Review E 78 (2008) 056103. 46. E. Scalas, U. Garibaldi, S. Donadio, Statistical equilibrium in simple exchange games I — Methods of solution and application to the Bennati-DragulescuYakovenko (BDY) game, The European Physical Journal B 53 (2006) 267. 47. E. Scalas, U. Garibaldi, S. Donadio, Erratum. statistical equilibrium in simple exchange games I, The European Physical Journal B 60 (2007) 271.
Mathematical modeling of collective behavior in socio-economic and life sciences by Anirban Chakraborti, Guido Germano (auth.), Giovanni Naldi, Lorenzo Pareschi, Giuseppe Toscani (eds.)