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Entropic Decision Making

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  • Adnan Rebei

Abstract

Using results from neurobiology on perceptual decision making and value-based decision making, the problem of decision making between lotteries is reformulated in an abstract space where uncertain prospects are mapped to corresponding active neuronal representations. This mapping allows us to maximize non-extensive entropy in the new space with some constraints instead of a utility function. To achieve good agreements with behavioral data, the constraints must include at least constraints on the weighted average of the stimulus and on its variance. Both constraints are supported by the adaptability of neuronal responses to an external stimulus. By analogy with thermodynamic and information engines, we discuss the dynamics of choice between two lotteries as they are being processed simultaneously in the brain by rate equations that describe the transfer of attention between lotteries and within the various prospects of each lottery. This model is able to give new insights on risk aversion and on behavioral anomalies not accounted for by Prospect Theory.

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  • Adnan Rebei, 2019. "Entropic Decision Making," Papers 2001.00122, arXiv.org.
  • Handle: RePEc:arx:papers:2001.00122
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    References listed on IDEAS

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    1. Herbert A. Simon, 1955. "A Behavioral Model of Rational Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 69(1), pages 99-118.
    2. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    3. Javier A Caballero & Nathan F Lepora & Kevin N Gurney, 2015. "Probabilistic Decision Making with Spikes: From ISI Distributions to Behaviour via Information Gain," PLOS ONE, Public Library of Science, vol. 10(4), pages 1-35, April.
    4. Dertwinkel-Kalt, Markus & Köster, Mats, 2015. "Violations of first-order stochastic dominance as salience effects," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 59(C), pages 42-46.
    5. Hendrikje Nienborg & Bruce G. Cumming, 2009. "Decision-related activity in sensory neurons reflects more than a neuron’s causal effect," Nature, Nature, vol. 459(7243), pages 89-92, May.
    6. Birnbaum, Michael H & Navarrete, Juan B, 1998. "Testing Descriptive Utility Theories: Violations of Stochastic Dominance and Cumulative Independence," Journal of Risk and Uncertainty, Springer, vol. 17(1), pages 49-78, October.
    7. repec:bla:econom:v:59:y:1992:i:233:p:17-33 is not listed on IDEAS
    8. repec:cup:judgdm:v:14:y:2019:i:4:p:513-533 is not listed on IDEAS
    9. Birnbaum, Michael H. & Chavez, Alfredo, 1997. "Tests of Theories of Decision Making: Violations of Branch Independence and Distribution Independence," Organizational Behavior and Human Decision Processes, Elsevier, vol. 71(2), pages 161-194, August.
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