Infinitely repeated games with self-control: a dual-self interpretation of The Monks Story
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 6 (2014) no. 4, pp. 97-115.

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: repeated games, The Monks Story, dual-self approach.
@article{MGTA_2014_6_4_a4,
     author = {Wei Wang and Jie Zheng},
     title = {Infinitely repeated games with self-control: a dual-self interpretation of {The} {Monks} {Story}},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {97--115},
     publisher = {mathdoc},
     volume = {6},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2014_6_4_a4/}
}
TY  - JOUR
AU  - Wei Wang
AU  - Jie Zheng
TI  - Infinitely repeated games with self-control: a dual-self interpretation of The Monks Story
JO  - Matematičeskaâ teoriâ igr i eë priloženiâ
PY  - 2014
SP  - 97
EP  - 115
VL  - 6
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MGTA_2014_6_4_a4/
LA  - ru
ID  - MGTA_2014_6_4_a4
ER  - 
%0 Journal Article
%A Wei Wang
%A Jie Zheng
%T Infinitely repeated games with self-control: a dual-self interpretation of The Monks Story
%J Matematičeskaâ teoriâ igr i eë priloženiâ
%D 2014
%P 97-115
%V 6
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MGTA_2014_6_4_a4/
%G ru
%F MGTA_2014_6_4_a4
Wei Wang; Jie Zheng. Infinitely repeated games with self-control: a dual-self interpretation of The Monks Story. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 6 (2014) no. 4, pp. 97-115. http://geodesic.mathdoc.fr/item/MGTA_2014_6_4_a4/

[1] Ashraf N., Camerer C., Loewenstein G., Smith A., “Behavioral Economist”, The Journal of Economic Perspectives, 19:3 (2005), 131–145 | DOI | MR

[2] Benhabib J., Bisin A., “Modeling Internal Commitment Mechanisms and Self-Control: A Neuroeconomics Approach to Consumption-Saving Decisions”, Games and Economic Behavior, 52:2 (2004), 460–492 | DOI | MR

[3] Bernheim B. D., Rangel A., “Addiction and Cue-Triggered Decision Processes”, American Economic Review, 94:5 (2004), 1558–1590 | DOI

[4] Binabou R., Pycia M., “Dynamic Inconsistency and Self-Control: A Planner-Doer Interpretation”, Economics Letters, 77:3 (2002), 419–424 | DOI | MR

[5] Camerer C., Loewenstein G., Prelic D., “Neuroeconomics: Why Economics Needs Brains”, Scandinavian Journal of Economics, 106:3 (2004), 555–579 | DOI

[6] Chatterjee K., Krishna R. V., “A “Dual Self” Representation for Stochastic Temptation”, American Economic Journal: Microeconomics, 1:2 (2009), 148–167 | DOI

[7] DellaVigna S., Malmendier U., “Contract Design and Self-Control: Theory and Evidence”, Quarterly Journal of Economics, 119:2 (2004), 353–402 | DOI | Zbl

[8] Dekel E., Fudenberg D., Levine D. K., “Learning to Play Bayesian Games”, Games and Economic Behavior, 46:2 (2004), 282–303 | DOI | MR | Zbl

[9] Derel E., Lipman B. L., Rustichini A., “Temptation-Driven Preferences”, Review of Economic Studies Limited, 76 (2009), 937–971 | DOI | MR

[10] Fudenberg D., Levine D. K., The Theory of Learning in Games, MIT Press, Cambridge, MA, 1998 | MR | Zbl

[11] Fudenberg D., Levine D. K., “A Dual-Self Model of Impulse Control”, American Economic Review, 96:5 (2006), 1449–1476 | DOI

[12] Fudenberg D., Levine D. K., “Risk, Delay, and Convex Self-Control Costs”, American Economic Journal: Microeconomics, 3:3 (2011), 34–68 | DOI

[13] Fudenberg D., Levine D. K., “Timing and Self-Control”, Econometrica, 80:1 (2012), 1–42 | DOI | MR | Zbl

[14] Gul F., Pesendorfer W., “Temptation and Self-Control”, Econometrica, 69:6 (2001), 1403–1435 | DOI | MR | Zbl

[15] Gul F., Pesendorfer W., “Self-Control and the Theory of Consumption”, Econometrica, 72:1 (2004), 119–158 | DOI | MR | Zbl

[16] Loewenstein G., “Emotions in Economic Theory and Economic Behavior”, American Economic Review, 90:2 (2000), 428 | MR

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

[18] Shefrin H. M., Thaler R. H., “An Economic Theory of Self-Control”, Journal of Political Economy, 89:2 (1981), 392–406 | DOI | MR

[19] Wang W., Zheng J., “Multi-Period Complete-Information Games with Self-Control: a Dual-Self Approach”, Operations Research Transactions, 16:4 (2012), 95–104 | Zbl

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