[en] The dynamic behavior of a multiagent system in which the agent size si is variable it is studied along a Lotka-Volterra approach. The agent size has hereby the meaning of the fraction of a given market that an agent is able to capture (market share). A Lotka-Volterra system of equations for prey-predator problems is considered, the competition factor being related to the difference in size between the agents in a one-on-one competition. This mechanism introduces a natural self-organized dynamic competition among agents. In the competition factor, a parameter sigma is introduced for scaling the intensity of agent size similarity, which varies in each iteration cycle. The fixed points of this system are analytically found and their stability analyzed for small systems (with n = 5 agents). We have found that different scenarios are possible, from chaotic to non-chaotic motion with cluster formation as function of the a parameter and depending on the initial conditions imposed to the system. The present contribution aim is to show how a realistic though minimalist nonlinear dynamics model can be used to describe the market competition (companies, brokers, decision makers) among other opinion maker communities. (C) 2010 Elsevier B.V. All rights reserved.
Disciplines :
International economics Physics
Author, co-author :
Caram, L. F.
Caiafa, C. F.
Proto, A. N.
Ausloos, Marcel ; Université de Liège - ULiège > Département de physique > Département de physique
Language :
English
Title :
Dynamic peer-to-peer competition
Publication date :
2010
Journal title :
Physica A. Statistical Mechanics and its Applications
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Bibliography
Albert R., and Barabási A.L. Rev. Modern Phys. 74 (2002) 47-97
Amaral L.A.N., and Ottino J.M. Eur. Phys. J. B 38 (2004) 147-162
Knyazeva H.N., and Kurdyumov S.P. Evolution and Self-organization Laws of Complex Systems (1994), Nauka Publisher, Moscow 236 (in Russian)
Kocarev L., and Vattay G. Complex Dynamics in Communication Networks (2005), Springer Verlag
Sitharama Iyengar S. Computer Modeling and Simulations of Complex Biological Systems. 2nd edn. (1997), CRC
Arrowsmith D., and Place C.M. Dynamical Systems: Differential Equations, Maps and Chaotic Behaviour (1992), Chapman and Hall
Bagni R., Berchi R., and Cariello P. J. Artif. Soc. Social Simul. 5 (2002) 3. http://jasss.soc.surrey.ac.uk/5/3/5.html http://jasss.soc.surrey.ac.uk/5/3/5.html
Yi Z., and Tan K.K. IEEE Trans. Circuits Syst. 52 (2005) 2482-2489
Caiafa C.F., and Proto A.N. Internat. J. Modern Phys. C 17 (2006) 385-394
Maurer S.M., and Huberman B.A. J. Econom. Dynam. Control 27 (2003) 2195-2206
Adamic L.A., and Huberman B.A. Quart. J. Electron. Commerce 1 (2000) 5-12
Miskiewicz J., and Ausloos M. In: Takayasu H. (Ed). Proc. of the 3rd Nikkei Econophysics Symposium: Practical Fruits of Econophysics (2006), Springer, Tokyo 312
Gligor M., and Ausloos M. Eur. Phys. J. B 57 (2007) 139-146
Redelico F.O., Proto A.N., and Ausloos M. Physica A 388 (2009) 3527-3535
Bettencourt L.M.A., Lobo J., Helbing D., Kuhnert C., and West G.B. Proc. Natl. Acad. Sci. 104 (2007) 7301-7306
Savage V.M., Allen A.P., Brown J.H., Gillooly J.F., Herman A.B., Woodruff W.H., and West G.B. Proc. Natl. Acad. Sci. 104 (2007) 4718-4723
Moran A.L., and Allen J.D. Biol. Bull. 212 (2007) 143-150
Economo E.P., Kerkhoff A.J., and Enquist B.J. Ecol. Lett. 8 (2005) 353-360
N. Olivera, A.N. Proto, F. Redelico, RC332008 7 th International Conference on Social Science Methodology, Campus di Monte SantAngelo, Naples, Italy, 2008.
Hauert C., De Monte S., Hofbauer J., and Sigmund K. Science 296 (2002) 1129-1132
Glance N.S., and Huberman B.A. Sci. Am. 270 (1994) 76-81
von Neumann J., and Morgenstern O. Theory of Games and Economics Behavior (1944), Princenton
March J.G., and Simon H.A. Organizations (1958), Wiley, New York
H.A. Simon, Administrative Behavior, New York, 1947.
Porter M. Competitive Strategy (1980), Free Press, New York
Porter M. Competitive Advantage (1985), Free Press, New York
Coase R.H. The Firm, the Market, and the Law Chicago (1988), University of Chicago Press
Williamson O.E., Winter S.G., and Coase R.H. The Nature of the Firm: Origins, Evolution, and Development (1991), Oxford University Press, New York
Williamson O.E. The Economic Institutions of Capitalism (1985), Free Press, NY
Pekalski A. Comput. Sci. Eng. 6 (2004) 62-66
Lotka A.J. Elements of Physical Biology (1925), Williams & Wilkins Co., Baltimore 460
Szabo G., and Hauert C. Phys. Rev. Lett. 89 (2002) 118101
Szabo G., and Hauert C. Phys. Rev. E 66 (2002) 062903
Caram L.F., Caiafa C.F., and Proto A.N. Internat. J. Modern Phys. C 17 (2006) 435-445
Yanhui L., and Siming Z. Appl. Math. Modelling 31 (2007) 912-919
Kac M. Phys. Fluids 2 (1959) 8-12
Press W.H., Flannery B.P., Teukolsky S.A., and Vetterling W.T. Numerical Recipes in FORTRAN: The Art of Scientific Computing. 2nd edn (1992), Cambridge University Press, Cambridge 364
Ermentrout G.B., and Kopell N. SIAM J. Math. Anal. 15 (1984) 215
Strogatz S.H., and Mirollo R.E. Physica D 31 (1988) 143
Liu Z., Lai Y.C., and Hoppensteadt F.C. Phys. Rev. E 63 (2001) 055201
Zheng Z., Hu B., and Hu G. Phys. Rev. E 62 (2000) 402
Hu G., Zhang Y., Cerdeira H.A., and Chen S. Phys. Rev. Lett. 85 (2000) 3377
Zheng Z., Hu B., and Hu G. Phys. Rev. E 62 (2000) 402
Manna S.S. Phys. Rev. E. 68 (2003) 027104
M. Bawa, H. Garcia-Molina, A. Gionis, R. Motwani, Technical report, Computer Science Department, Stanford University, 2003. http://ilpubs.stanford.edu:8090/586/.
Knyazeva H. J. Gen. Philos. Sci. 36 (2005) 289-304
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