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Bounded Rational Speculative and Hedging Interaction Model in Oil and U S Dollar Markets

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  • David CARFÌ
  • Michael CAMPBELL

Abstract

A bounded rational overlay is constructed for a model of an interaction between two players who speculate on oil and the U S dollar subject to nancial transaction taxes This model also has two types of operators a real economic subject Air and an investment bank Bank Many investment operators banks are also considered Their behavior equilibrates much more quickly as they react to the move of Air In this sense Air is an acting external agent such as with an external magnetic eld in a magnetic system whereas the random component of the bounded rational behavior of banks is annealed i e averaged out before Air makes its next transaction Under certain conditions for the model the equilibrium measure for the bank agents after Air has played its strategy is a Gibbs measure from statistical mechanics as the interactions between opera tors are that for a Potential game

Suggested Citation

  • 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.
  • Handle: RePEc:srs:jmef00:v:1:y:2015:i:1:p:4-28
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    Cited by:

    1. Campbell, Michael, 2020. "Speculative and hedging interaction model in oil and U.S. dollar markets—Long-term investor dynamics and phases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    2. 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).
    3. 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).
    4. Carfì, David & Donato, Alessia & Schilirò, Daniele, 2018. "An environmentally sustainable global economy. A coopetitive model," MPRA Paper 86718, University Library of Munich, Germany.

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