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An elementary humanomics approach to boundedly rational quadratic models

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  • Campbell, Michael J.
  • Smith, Vernon L.

Abstract

We take a refreshing new look at boundedly rational quadratic models in economics using some elementary modeling of the principles put forward in the book Humanomics by Vernon L. Smith and Bart J. Wilson. A simple model is introduced built on the fundamental Humanomics principles of gratitude/resentment felt and the corresponding action responses of reward/punishment in the form of higher/lower payoff transfers. There are two timescales: one for strictly self-interested action, as in economic equilibrium, and another governed by feelings of gratitude/resentment. One of three timescale scenarios is investigated: one where gratitude/resentment changes much more slowly than economic equilibrium (“quenched model”). Another model, in which economic equilibrium occurs over a much slower time than gratitude/resentment evolution (“annealed” model) is set up, but not investigated. The quenched model with homogeneous interactions turns out to be a non-frustrated spin-glass model. A two-agent quenched model with heterogeneous aligning (ferromagnetic) interactions is analyzed and yields new insights into the critical quenched probability p (1−p) that represents the empirical frequency of opportunity for agent i to take action for the benefit (hurt) of other that invokes mutual gratitude (resentment). A critical quenched probability pi∗, i=1,2, exists for each agent. When ppi∗, agent i will take action sensitive to their interpersonal feelings of gratitude/resentment and thus reward/punish the initiating benefit/hurt. We find that the pi∗ are greater than one-half, which implies agents are averse to resentful behavior and punishment. This was not built into the model, but is a result of its properties, and consistent with Axiom 4 in Humanomics about the asymmetry of gratitude and resentment. Furthermore, the agent who receives less payoff is more averse to resentful behavior; i.e., has a higher critical quenched probability. For this particular model, the Nash equilibrium has no predictive power of Humanomics properties since the rewards are the same for self-interested behavior, resentful behavior, and gratitude behavior. Accordingly, we see that the boundedly rational Gibbs equilibrium does indeed lead to richer properties.

Suggested Citation

  • Campbell, Michael J. & Smith, Vernon L., 2021. "An elementary humanomics approach to boundedly rational quadratic models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
  • Handle: RePEc:eee:phsmap:v:562:y:2021:i:c:s0378437120306907
    DOI: 10.1016/j.physa.2020.125309
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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. Carfí, David & Musolino, Francesco, 2014. "Speculative and hedging interaction model in oil and U.S. dollar markets with financial transaction taxes," Economic Modelling, Elsevier, vol. 37(C), pages 306-319.
    3. repec:srs:journl:volume:v:1:y:2015:i:1:p:4-28 is not listed on IDEAS
    4. repec:srs:volume:v:2:y:2016:i:1:p:7-20 is not listed on IDEAS
    5. repec:srs:journl:volume:v:2:y:2016:i:1:p:7-20 is not listed on IDEAS
    6. , & , P., 2014. "Refinements of Nash equilibrium in potential games," Theoretical Economics, Econometric Society, vol. 9(3), September.
    7. Campbell, Michael J. & Smith, Vernon L., 2021. "An elementary humanomics approach to boundedly rational quadratic models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
    8. William A. Brock & Steven N. Durlauf, 2001. "Discrete Choice with Social Interactions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(2), pages 235-260.
    9. Simon P. Anderson & Jacob K. Goeree & Charles A. Holt, 2004. "Noisy Directional Learning and the Logit Equilibrium," Scandinavian Journal of Economics, Wiley Blackwell, vol. 106(3), pages 581-602, October.
    10. Binmore, Ken & Samuelson, Larry, 1997. "Muddling Through: Noisy Equilibrium Selection," Journal of Economic Theory, Elsevier, vol. 74(2), pages 235-265, June.
    11. Jackson, Matthew O. & Zenou, Yves, 2015. "Games on Networks," Handbook of Game Theory with Economic Applications,, Elsevier.
    12. Joseph Johnson & Gerard J. Tellis & Deborah J. Macinnis, 2005. "Losers, Winners, and Biased Trades," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 32(2), pages 324-329, September.
    13. Michael CAMPBELL, 2016. "Inevitability of Collusion in a Coopetitive Bounded Rational Cournot Model with Increasing Demand," Journal of Mathematical Economics and Finance, ASERS Publishing, vol. 2(1), pages 7-20.
    14. Simon P. Anderson & Jacob K. Goeree & Charles A. Holt, 2002. "The Logit Equilibrium: A Perspective on Intuitive Behavioral Anomalies," Southern Economic Journal, John Wiley & Sons, vol. 69(1), pages 21-47, July.
    15. Chih-Sheng Hsieh & Michael D. König & Xiaodong Liu, 2012. "Network formation with local complements and global substitutes: the case of R&D networks," ECON - Working Papers 217, Department of Economics - University of Zurich, revised Feb 2017.
    16. David CARFÌ & Michael CAMPBELL, 2015. "Bounded Rational Speculative and Hedging Interaction Model in Oil and U S Dollar Markets," Journal of Mathematical Economics and Finance, ASERS Publishing, vol. 1(1), pages 4-28.
    17. repec:srs:volume:v:1:y:2015:i:1:p:4-28 is not listed on IDEAS
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    1. Campbell, Michael J. & Smith, Vernon L., 2021. "An elementary humanomics approach to boundedly rational quadratic models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
    2. Campbell, Michael J., 2022. "Heavy-tailed distributions of volume and price-change resulting from strategy coordination and decision noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).

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