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Quantum Barro–Gordon game in monetary economics

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  • Samadi, Ali Hussein
  • Montakhab, Afshin
  • Marzban, Hussein
  • Owjimehr, Sakine

Abstract

Classical game theory addresses decision problems in multi-agent environment where one rational agent’s decision affects other agents’ payoffs. Game theory has widespread application in economic, social and biological sciences. In recent years quantum versions of classical games have been proposed and studied. In this paper, we consider a quantum version of the classical Barro–Gordon game which captures the problem of time inconsistency in monetary economics. Such time inconsistency refers to the temptation of weak policy maker to implement high inflation when the public expects low inflation. The inconsistency arises when the public punishes the weak policy maker in the next cycle. We first present a quantum version of the Barro–Gordon game. Next, we show that in a particular case of the quantum game, time-consistent Nash equilibrium could be achieved when public expects low inflation, thus resolving the game.

Suggested Citation

  • Samadi, Ali Hussein & Montakhab, Afshin & Marzban, Hussein & Owjimehr, Sakine, 2018. "Quantum Barro–Gordon game in monetary economics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 489(C), pages 94-101.
    • Handle: RePEc:eee:phsmap:v:489:y:2018:i:c:p:94-101
    DOI: 10.1016/j.physa.2017.07.029
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    References listed on IDEAS

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    1. Barro, Robert J. & Gordon, David B., 1983. "Rules, discretion and reputation in a model of monetary policy," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 101-121.
    2. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    3. Xinyang Deng & Yong Deng & Qi Liu & Shuhua Chang & Zhen Wang, 2016. "A quantum extension to inspection game," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(7), pages 1-7, July.
    4. Stefania Albanesi & V. V. Chari & Lawrence J. Christiano, 2003. "Expectation Traps and Monetary Policy," Review of Economic Studies, Oxford University Press, vol. 70(4), pages 715-741.
    5. Adam, Klaus & Billi, Roberto M., 2014. "Distortionary fiscal policy and monetary policy goals," Economics Letters, Elsevier, vol. 122(1), pages 1-6.
    6. Backus, David & Driffill, John, 1985. "Inflation and Reputation," American Economic Review, American Economic Association, vol. 75(3), pages 530-538, June.
    7. Jonathan R. Friedman & Vijay Patel & W. Chen & S. K. Tolpygo & J. E. Lukens, 2000. "Quantum superposition of distinct macroscopic states," Nature, Nature, vol. 406(6791), pages 43-46, July.
    8. Arfi, Badredine, 2007. "Quantum social game theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 794-820.
    9. Robert F. Bordley, 1998. "Quantum Mechanical and Human Violations of Compound Probability Principles: Toward a Generalized Heisenberg Uncertainty Principle," Operations Research, INFORMS, vol. 46(6), pages 923-926, December.
    10. Robert G. King & Alexander L. Wolman, 2004. "Monetary Discretion, Pricing Complementarity, and Dynamic Multiple Equilibria," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(4), pages 1513-1553.
    11. R. H. Strotz, 1955. "Myopia and Inconsistency in Dynamic Utility Maximization," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 23(3), pages 165-180.
    12. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    13. Lucas, Robert Jr. & Stokey, Nancy L., 1983. "Optimal fiscal and monetary policy in an economy without capital," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 55-93.
    14. Demirel, Ufuk Devrim, 2012. "The value of monetary policy commitment under imperfect fiscal credibility," Journal of Economic Dynamics and Control, Elsevier, vol. 36(6), pages 813-829.
    15. Binmore, Ken, 2007. "Playing for Real: A Text on Game Theory," OUP Catalogue, Oxford University Press, number 9780195300574, Decembrie.
    16. Bagarello, F. & Haven, E., 2016. "First results on applying a non-linear effect formalism to alliances between political parties and buy and sell dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 403-414.
    17. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-491, June.
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    1. Poitras, Geoffrey, 2018. "The pre-history of econophysics and the history of economics: Boltzmann versus the marginalists," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 89-98.

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