Abstract.
We use the maximum entropy principle for the pricing of non-life insurance and recover the Bühlmann results for the economic premium principle. The concept of economic equilibrium is revised in this respect.
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References
S. Bowls, H. Gintis, Quarterly J. Economics 115, 1411 (2000)
V. Sergeev, Limit of Rationality (Fasis, Moscow, 1999); V. Sergeev, SFI Working papers
M. Milakovic’, LEM Working Papers (2003)
D.F. Foley, J. Economic Theory 62, 321 (1997)
D.F. Foley, Metroeconomica 47, 115 (1992)
E. Smith, D.F. Foley, SFI Working papers
A. Drăgulescu, V.M. Yakovenko, Eur. Phys. J. B 17, 723 (2000)
A. Drăgulescu, V.M. Yakovenko, Eur. Phys. J. B 20, 585 (2001)
A. Drăgulescu, V.M. Yakovenko, Physica A 299, 213 (2001)
A. Chatterjee, B.K. Chakarbarti, Physica Scripta T 90, 36 (2003)
A.H. Darooneh, to be published in Quart. J. Insurance 23 (2005)
A.H. Darooneh, arXive: cond-mat/0401308, to be published in Int. J. Mod. Phys. C 16(1) (2005)
A.H. Darooneh, Proceedings of 10th IASBS Conference in Condensed Matter, Zanjan, 2004, edited by A. Langari (IASBS, Zanjan, 2004) (to be published)
A.H. Darooneh, arXive: cond-dat/0404680, Proceedings of 19th Annual Iranian Physics Conference, Teheran, 2004 (Iranian Physics Society, Teheran, 2004), p. 203
B. Les Gulko, Int. J. Theoretical and Applied Finance 2, 331 (1999)
B. Les Gulko, Int. J. Theoretical and Applied Finance 5, 355 (2002)
M. Fritelli, Mathematical Finance 10, 39 (2000)
Th. Goll, L. Rüschendorf, Finance and Stochastics 5, 557 (2001)
M. Avellanada, Int. J. Theoretical and Applied Finance 1, 447 (1998)
M.J. Stutzer, Entropy 2, 40 (2000)
A. Golan, G.G. Judge, D. Miller, Advances in Econometrics 12, 3 (1997)
M.E. Fouladvand, A.H. Darooneh, in Proceedings of Second Nikkei Symposium on Econophysics, Tokyo, 2003, edited by H. Takayatsu (Springer, Berlin, 2024), p. 303
A.H. Darooneh, in Proceedings of 18th Annual Iranian Physics Conference, Azarshahr, 2003, edited by Iranian Physics Society (Iranian Physics Society, Tehran, 2003), p. 162
A.H. Darooneh, in Proceedings of First Iranian International Conference of Physics, Tehran, 2004 (Amir Kabir University, in press)
H. Buhlmann, ASTIN Bulletin 11, 52 (1980)
H. Buhlmann, ASTIN Bulletin 14, 13 (1984)
G. Debreu, Theory of value (John Wiley, New York, 1959)
E.T. Jaynes, Phy. Rev. 106, 620 (1957)
R.K. Pathria, Statistical Mechanics, 2nd edn. (Pergamon Press, Oxford, 1972)
M.J. Goovaerts, F. deVylder, Insurance Premium (North Holland, Amsterdam, 1984)
H.U. Gerber, Shiu, E.S.W., Transaction of the Society of Actuaries XLVI, 99 (1994)
H. Buhlmann, F. Delbaen, P. Embrechts, A. Shirayev, CWI Quarterly 9, 291 (1997)
H. Buhlmann, F. Delbaen, P. Embrechts, A. Shirayev, ASTIN Bulletin 28, 171 (1998)
D. Vyncke, M.J. Goovaerts, A. DeSchepper, R. Kass, J. Dhaene, J. of Risk Insurance 70, 563 (2003)
J.J. Prentis, A.E. Andrus, T.J. Stasevich, Am. J. Phys. 67, 508 (1999)
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Received: 10 June 2004, Published online: 26 November 2004
PACS:
89.65.Gh Economics; econophysics, financial markets, business and management - 05.20.-y Classical statistical mechanics
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Darooneh, A.H. Non-life insurance pricing: multi-agent model. Eur. Phys. J. B 42, 119–122 (2004). https://doi.org/10.1140/epjb/e2004-00363-x
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DOI: https://doi.org/10.1140/epjb/e2004-00363-x