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Infinitely repeated games with self-control: A dual-self interpretation of the Monks Story

  • Mathematical Game Theory and Applications
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Abstract

In this paper, we use The Monks Story, a famous traditional Chinese proverb, as an example to illustrate the practicality of our model on the matters in reality. The Monks Story is typically used in literature that is related to marketing, human resource, and management aspects. However, in our paper, we look at the Monks Story from a different perspective: we assume that the number of players does not change over time and examine how players’ behaviors evolve over time. Our analysis of this story is focused on how individual player as a dual-self individual makes decisions when interacting with other players. We analyze the story and compare the results under three scenarios: history-independent strategy case, history-dependent strategy case and dual-self approach.

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References

  1. Ashraf, N., Camerer, C., and Loewenstein, G., Adam Smith, Behavioral Economist, J. Econom. Persp., 2005, vol. 19, no. 3, pp. 131–145.

    Article  Google Scholar 

  2. Benhabib, J. and Bisin, A., Modeling Internal Commitment Mechanisms and Self-Control: A Neuroeconomics Approach to Consumption-Saving Decisions, Games Econom. Behav., 2004, vol. 52, no. 2, pp. 460–492.

    Article  MathSciNet  Google Scholar 

  3. Bernheim, B.D. and Rangel, A., Addiction and Cue-Triggered Decision Processes, Am. Econom. Rev., 2004, vol. 94, no. 5, pp. 1558–1590.

    Article  Google Scholar 

  4. Bénabou, R. and Pycia, M., Dynamic Inconsistency and Self-Control: A Planner-Doer Interpretation, Econom. Lett., 2002, vol. 77, no. 3, pp. 419–424.

    Article  MATH  MathSciNet  Google Scholar 

  5. Camerer, C., Loewenstein, G., and Prelic, D., Neuroeconomics: Why Economics Needs Brains, Scand. J. Econom., 2004, vol. 106, no. 3, pp. 555–579.

    Article  Google Scholar 

  6. Chatterjee, K. and Krishna, R.V., A “Dual Self” Representation for Stochastic Temptation, Am. Econom. J.: Microeconomics, 2009, vols. 1–2, pp. 148–167.

    Google Scholar 

  7. DellaVigna, S. and Malmendier, U., Contract Design and Self-Control: Theory and Evidence, Quart. J. Econom., 2004, vol. 119, no. 2, pp. 353–402.

    Article  MATH  Google Scholar 

  8. Dekel, E., Fudenberg, D., and Levine, D.K., Learning to Play Bayesian Games, Games Econom. Behav., 2004, vol. 46, no. 2, pp. 282–303.

    Article  MATH  MathSciNet  Google Scholar 

  9. Derel, E., Lipman, B.L., and Rustichini, A., Temptation-Driven Preferences, Rev. Econom. Stud. Limited, 2009, vol. 76, pp. 937–971.

    Article  Google Scholar 

  10. Fudenberg, D. and Levine, D.K., The Theory of Learning in Games, Cambridge: MIT Press, 1998.

    MATH  Google Scholar 

  11. Fudenberg, D. and Levine, D.K., A Dual-Self Model of Impulse Control, Am. Econom. Rev., 2006, vol. 96, no. 5, pp. 1449–1476.

    Article  Google Scholar 

  12. Fudenberg, D. and Levine, D.K., Risk, Delay, and Convex Self-Control Costs, Am. Econom. J.: Microeconomics, 2011, vol. 3, no. 3, pp. 34–68.

    Google Scholar 

  13. Fudenberg, D. and Levine, D.K., Timing and Self-Control, Econometrica, 2012, vol. 80, no. 1, pp. 1–42.

    Article  MATH  MathSciNet  Google Scholar 

  14. Gul, F. and Pesendorfer, W., Temptation and Self-Control, Econometrica, 2001, vol. 69, no. 6, pp. 1403–1435.

    Article  MATH  MathSciNet  Google Scholar 

  15. Gul, F. and Pesendorfer, W., Self-Control and the Theory of Consumption, Econometrica, 2004, vol. 72, no. 1, pp. 119–158.

    Article  MATH  MathSciNet  Google Scholar 

  16. Loewenstein, G., Emotions in Economic Theory and Economic Behavior, Am. Econom. Rev., 2000, vol. 90, no. 2, p. 428.

    Article  MathSciNet  Google Scholar 

  17. Loewenstein, G. and O’Donoghue, T., Animal Spirits: Affective and Deliberative Processes in Economic Behavior, CAE Working Paper #04-14, 2004.

    Google Scholar 

  18. Shefrin, H.M. and Thaler, R.H., An Economic Theory of Self-Control, J. Polit. Economy, 1981, vol. 89, no. 2, pp. 392–406.

    Article  Google Scholar 

  19. Wang, W. and Zheng, J., Multi-Period Complete-Information Games with Self-Control: A Dual-Self Approach, Operat. Res. Trans., 2012, vol. 16, no. 4, pp. 95–104.

    MATH  Google Scholar 

  20. Wang, W. and Zheng, J., Games with Dual-Self Players, Working Paper, 2012.

    Google Scholar 

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Authors and Affiliations

  1. School of Economics and Management, Tsinghua University, Beijing, P.R. China

    W. Wang & J. Zheng

Authors
  1. W. Wang
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  2. J. Zheng
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Correspondence to W. Wang.

Additional information

Original Russian Text © W. Wang, J. Zheng, 2014, published in Matematicheskaya Teoriya Igr i Priloszheniya, 2014, No. 4, pp. 97–115.

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Wang, W., Zheng, J. Infinitely repeated games with self-control: A dual-self interpretation of the Monks Story. Autom Remote Control 76, 521–534 (2015). https://doi.org/10.1134/S0005117915030169

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  • DOI: https://doi.org/10.1134/S0005117915030169

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