Kinetic equations modelling wealth redistribution: A comparison of approaches

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 78, Issue 5, 2008, Pages

  Düring, Bertram ^a   Matthes, Daniel ^a   Toscani, Giuseppe ^b  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

^b UNIVERSITY OF PAVIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ECONOMICS; INTEGRAL EQUATIONS; INVESTMENTS; KINETIC ENERGY; KINETIC THEORY; KINETICS; PROBABILITY DISTRIBUTIONS; STABILITY;

DYNAMICAL STABILITIES; ECONOPHYSICS; KINETIC EQUATIONS; MARKET ECONOMIES; MARKET MODELS; MODEL PARAMETERS; MOMENT ANALYSIS; NUMERICAL EXPERIMENTS; PARETO TAILS; PROBABILITY MEASURES; QUALITATIVE STUDIES; RISKY INVESTMENTS; WEALTH DISTRIBUTIONS;

BOLTZMANN EQUATION;

EID: 56649120231     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.056103     Document Type: Article

References (39)

1. Econophysics of Wealth Distributions, edited by, A. Chatterjee, Y. Sudhakar and, B. K. Chakrabarti, (Springer, Milan, 2005).
2. Econophysics and Sociophysics: Trends and Perspectives, edited by, B. K. Chakrabarti, A. Chakraborti and, A. Chatterjee, (Wiley VCH, Berlin, 2006).
3. Application of Econophysics, edited by, H. Takayasu, (Springer, Tokyo, 2004).
4. Practical Fruits of Econophysics, edited by, H. Takayasu, (Springer, Tokyo, 2005).
5. B. Hayes, Am. Sci. 10.1511/2002.5.400 90, 400 (2002).
6. V. M. Yakovenko, in Encyclopedia of Complexity and System Science, edited by, R. A. Meyers, (Springer, New York, in press).
7. B. Mandelbrot, Int. Econom. Rev. 1, 79 (1960). 10.2307/2525289
8. A. Chatterjee and B. K. Chakrabarti, Eur. Phys. J. B 60, 135 (2007). 10.1140/epjb/e2007-00343-8
9. A. Chakraborti and B. K. Chakrabarti, Eur. Phys. J. B 17, 167 (2000). 10.1007/s100510070173
10. S. Cordier, L. Pareschi, and G. Toscani, J. Stat. Phys. 120, 253 (2005). 10.1007/s10955-005-5456-0
11. A. Chatterjee, B. K. Chakrabarti, and S. S. Manna, Physica A 335, 155 (2004). 10.1016/j.physa.2003.11.014
12. L. Pareschi and G. Toscani, J. Stat. Phys. 124, 747 (2006). 10.1007/s10955-006-9025-y
13. D. Matthes and G. Toscani, J. Stat. Phys. 130, 1087 (2008). 10.1007/s10955-007-9462-2
14. D. Matthes and G. Toscani, Kinetic Rel. Mod. 1, 1 (2008).
15. B. Düring, D. Matthes, and G. Toscani, in "WASCOM 2007"-Proceedings of the 14th Conference on Waves and Stability in Continuous Media, edited by, N. Manganaro, R. Monaco and, S. Rionero, (World Scientific, Hackensack, NJ, 2008).
16. B. Düring and G. Toscani, Physica A 384, 493 (2007). 10.1016/j.physa.2007.05.062
17. A. Chatterjee, B. K. Chakrabarti, and R. B. Stinchcombe, Phys. Rev. E 72, 026126 (2005). 10.1103/PhysRevE.72.026126
18. V. Pareto, Cours d'Iconomie Politique. Nouvelle Idition par G.-H. Bousquet et G. Busino (Librairie Droz, Genève, 1964) [reprint of the edition Lausanne 1896/1897].
19. Topics in Optimal Transportation, edited by, C. Villani, (American Mathematical Society, Providence, RI, 2003).
20. E. Gabetta, G. Toscani, and B. Wennberg, Transp. Theory Stat. Phys. 25, 543 (1996). 10.1080/00411459608220720
21. J. A. Carrillo and G. Toscani, Riv. Mat. Univ. Parma 6, 75 (2007).
22. S. Ispolatov, P. L. Krapivsky, and S. Redner, Eur. Phys. J. B 2, 267 (1998). 10.1007/s100510050249
23. J.-F. Bouchaud and M. Mézard, Physica A 282, 536 (2000). 10.1016/S0378-4371(00)00205-3
24. Z. Burda, D. Johnston, J. Jurkiewicz, M. Kamiński, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E 65, 026102 (2002). 10.1103/PhysRevE.65.026102
25. A. Chakraborti, Int. J. Mod. Phys. C 13, 1315 (2002). 10.1142/S0129183102003905
26. J. Angle, Soc. Forces 65, 293 (1986). 10.2307/2578675
27. A. Drgulescu and V. M. Yakovenko, Eur. Phys. J. B 17, 723 (2000). 10.1007/s100510070114
28. M. Patriarca, A. Chakraborti, and K. Kaski, Phys. Rev. E 70, 016104 (2004). 10.1103/PhysRevE.70.016104
29. P. Repetowicz, S. Hutzler, and P. Richmond, Physica A 356, 641 (2005). 10.1016/j.physa.2005.04.010
30. A. Chatterjee and B. K. Chakrabarti, Physica A 382, 36 (2007). 10.1016/j.physa.2007.02.006
31. M. Patriarca, A. Chakraborti, and G. Germano, Physica A 369, 723 (2006). 10.1016/j.physa.2006.01.091
32. M. Patriarca, A. Chakraborti, E. Heinsalu, and G. Germano, Eur. Phys. J. B 57, 219 (2007). 10.1140/epjb/e2007-00122-7
33. P. K. Mohanty, Phys. Rev. E 74, 011117 (2006). 10.1103/PhysRevE.74.011117
34. E. Gabetta, P. A. Markowich, and A. Unterreiter, Appl. Math. Lett. 12, 111 (1999). 10.1016/S0893-9659(99)00044-0
35. F. Slanina, Phys. Rev. E 69, 046102 (2004). 10.1103/PhysRevE.69.046102
36. Y. Wang, N. Ding, and L. Zhang, Physica A 324, 665 (2003). 10.1016/S0378-4371(03)00074-8
37. U. Garibaldi, E. Scalas, and P. Viarengo, Eur. Phys. J. B 60, 241 (2007). 10.1140/epjb/e2007-00338-5
38. A. K. Gupta, Physica A 359, 634 (2006). 10.1016/j.physa.2005.04.038
39. B. Düring and G. Toscani, Commun. Math. Sci. (in press).