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Risk aversion in economic transactions

Author

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  • C. Anteneodo
  • C. Tsallis
  • A. S. Martinez

Abstract

Most people are risk-averse (risk-seeking) when they expect to gain (lose). Based on a generalization of ``expected utility theory'' which takes this into account, we introduce an automaton mimicking the dynamics of economic operations. Each operator is characterized by a parameter q which gauges people's attitude under risky choices; this index q is in fact the entropic one which plays a central role in nonextensive statistical mechanics. Different long term patterns of average asset redistribution are observed according to the distribution of parameter q (chosen once for ever for each operator) and the rules (e.g., the probabilities involved in the gamble and the indebtedness restrictions) governing the values that are exchanged in the transactions. Analytical and numerical results are discussed in terms of how the sensitivity to risk affects the dynamics of economic transactions.

Suggested Citation

  • C. Anteneodo & C. Tsallis & A. S. Martinez, 2001. "Risk aversion in economic transactions," Papers cond-mat/0109203, arXiv.org, revised Jun 2002.
    • Handle: RePEc:arx:papers:cond-mat/0109203
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    Cited by:

    1. Takahashi, Taiki, 2011. "Psychophysics of the probability weighting function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(5), pages 902-905.
    2. dos Santos, Lindomar Soares & Destefano, Natália & Martinez, Alexandre Souto, 2018. "Decision making generalized by a cumulative probability weighting function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 250-259.
    3. Takahashi, Taiki & Oono, Hidemi & Radford, Mark H.B., 2007. "Empirical estimation of consistency parameter in intertemporal choice based on Tsallis’ statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 338-342.
    4. Takahashi, Taiki, 2007. "A probabilistic choice model based on Tsallis’ statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 335-338.
    5. Takahashi, Taiki, 2009. "Tsallis’ non-extensive free energy as a subjective value of an uncertain reward," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(5), pages 715-719.
    6. Rivera-Castro, Miguel A. & Miranda, José G.V. & Borges, Ernesto P. & Cajueiro, Daniel O. & Andrade, Roberto F.S., 2012. "A top–bottom price approach to understanding financial fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1489-1496.
    7. Takahashi, Taiki, 2010. "A social discounting model based on Tsallis’ statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3600-3603.

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