ABSTRACT
When making a mistake, individuals can apologize to secure further cooperation, even if the apology is costly. Similarly, individuals arrange commitments to guarantee that an action such as a cooperative one is in the others' best interest, and thus will be carried out to avoid eventual penalties for commitment failure. Hence, both apology and commitment should go side by side in behavioral evolution. Here we provide a computational model showing that apologizing acts are rare in non-committed interactions, especially whenever cooperation is very costly, and that arranging prior commitments can considerably increase the frequency of such behavior. In addition, we show that in both cases, with or without commitments, apology works only if it is sincere, i.e. costly enough. Most interestingly, our model predicts that individuals tend to use much costlier apology in committed relationships than otherwise, because it helps better identify free-riders such as fake committers: "commitments bring about sincerity'. Furthermore, we show that this strategy of apology supported by commitments outperforms the famous existent strategies of the iterated Prisoner's Dilemma.
References
- J. Abeler, J. Calaki, K. Andree, and C. Basek. The power of apology. Economics Letters, 107(2):233-235, 2010.Google Scholar
- S. Atran, R. Axelrod, R. Davis, et al. Sacred barriers to conflict resolution. Science, 317:1039-1040, 2007.Google Scholar
- R. Axelrod and W.D. Hamilton. The evolution of cooperation. Science, 211:1390-1396, 1981.Google Scholar
- R. Axelrod. The Evolution of Cooperation. Basic Books, ISBN 0-465-02122-2, 1984.Google Scholar
- Istvan Back and Andreas Flache. The Adaptive Rationality of Interpersonal Commitment. Rationality and Society, 20(1):65-83, 2008.Google Scholar
- Maarten C. Boerlijst, Martin A. Nowak, and Karl Sigmund. The logic of contrition. Journal of Theoretical Biology, 185(3):281-293, 1997.Google Scholar
- de Vos, R Smaniotto, and D Elsas. Reciprocal altruism under conditions of partner selection. Rationality and Society, 13(2):139-183, 2001.Google Scholar
- D. Fudenberg and L. A. Imhof. Imitation processes with small mutations. Journal of Economic Theory, 131:251-262, 2005.Google Scholar
- T. A. Han, L. M. Pereira, and F. C. Santos. Intention recognition promotes the emergence of cooperation. Adaptive Behavior, 19(3):264-279, 2011. Google Scholar
- T. A. Han, L. M. Pereira, and F. C. Santos. The emergence of commitments and cooperation. In Procs. of AAMAS-2012, pages 559-566, 2012. Google Scholar
- T. A. Han, L. M. Pereira, and F. C. Santos. Intention Recognition, Commitment, and The Evolution of Cooperation. In Proceedings of IEEE Congress on Evolutionary Computation, pages 1-8. IEEE Press, June 2012.Google Scholar
- T. A. Han. Intention Recognition, Commitments and Their Roles in the Evolution of Cooperation: From Artificial Intelligence Techniques to Evolutionary Game Theory Models, volume 9. Springer SAPERE series, May 2013. Google Scholar
- B. Ho. Apologies as signals: with evidence from a trust game. Management Science, 58(1):141-158, 2012. Google Scholar
- J. Hofbauer and K. Sigmund. Evolutionary Games and Population Dynamics. Cambridge University Press, 1998.Google Scholar
- L. A. Imhof, D. Fudenberg, and Martin A. Nowak. Evolutionary cycles of cooperation and defection. Proc. Natl. Acad. Sci. U.S.A., 102:10797-10800, 2005.Google Scholar
- L. A. Imhof, D. Fudenberg, and M. A. Nowak. Tit-for-tat or win-stay, lose-shift? Journal of Theoretical Biology, 247(3):574-580, 2007.Google Scholar
- M. Kandori, G.J. Mailath, and R. Rob. Learning, mutation, and long run equilibria in games. Econometrica, 61:29-56, 1993.Google Scholar
- B.A. Liang. A system of medical error disclosure. Quality and Safety in Health Care, 11(1):64-68, 2002.Google Scholar
- R. M. Nesse. Natural selection and the capacity for subjective commitment. In Randolf M. Nesse, editor, Evolution and the capacity for commitment, pages 1-44. New York: Russell Sage, 2001.Google Scholar
- M. A. Nowak and K. Sigmund. Tit for tat in heterogeneous populations. Nature, 355:250-253, 1992.Google Scholar
- M. A. Nowak and K. Sigmund. A strategy of win-stay, lose-shift that outperforms tit-for-tat in prisoner's dilemma. Nature, 364:56-58, 1993.Google Scholar
- M. A. Nowak, A. Sasaki, C. Taylor, and D. Fudenberg. Emergence of cooperation and evolutionary stability in finite populations. Nature, 428:646-650, 2004.Google Scholar
- M. A. Nowak. Five rules for the evolution of cooperation. Science, 314(5805):1560, 2006.Google Scholar
- Y. Ohtsubo and E. Watanabe. Do sincere apologies need to be costly? test of a costly signaling model of apology. Evolution and Human Behavior, 30(2):114- 123, 2009.Google Scholar
- K. Okamoto and S. Matsumura. The evolution of punishment and apology: an iterated prisoner's dilemma model. Evolutionary Ecology, 14(8):703-720, 2000.Google Scholar
- S.J. Park, C.M. MacDonald, and M. Khoo. Do you care if a computer says sorry? In Proceedings of the Designing Interactive Systems Conference, pages 731-740, 2012. Google Scholar
- C.J. Petrucci. Apology in the criminal justice setting: Evidence for including apology as an additional component in the legal system. Behavioral sciences & the law, 20(4):337- 362, 2002.Google Scholar
- K. Sigmund. The Calculus of Selfishness. Princeton University Press, 2010.Google Scholar
- S. Takaku, B. Weiner, and K.I. Ohbuchi. A cross-cultural examination of the effects of apology and perspective taking on forgiveness. Journal of Language and Social Psychology, 20(1-2):144-166, 2001.Google Scholar
- A. Traulsen, M. A. Nowak, and J. M. Pacheco. Stochastic dynamics of invasion and fixation. Phys. Rev. E, 74:11909, 2006.Google Scholar
- R. L. Trivers. The evolution of reciprocal altruism. Quaterly Review of Biology, 46:35-57, 1971.Google Scholar
- Jeng-Yi Tzeng. Toward a more civilized design: studying the effects of computers that apologize. International Journal of Human-Computer Studies, 61(3):319-345, 2004. Google Scholar
- S. Utz, U. Matzat, and C. Snijders. On-line reputation systems: The effects of feedback comments and reactions on building and rebuilding trust in on-line auctions. Intl. Journal of Electronic Commerce, 13(3):95-118, 2009. Google Scholar
- A. Vasalou, A. Hopfensitz, and J.V. Pitt. In praise of forgiveness: Ways for repairing trust breakdowns in one-off online interactions. International Journal of Human-Computer Studies, 66(6):466-480, 2008. Google Scholar
- M. Winikoff. Implementing commitment-based interactions. In Procs. of AAMAS-2007, pages 868-875, 2007. Google Scholar
- M. Wooldridge and N. R. Jennings. The cooperative problem-solving process. In Journal of Logic and Computation, pages 403-417, 1999.Google Scholar
Index Terms
(auto-classified)Why is it so hard to say sorry? evolution of apology with commitments in the iterated Prisoner's Dilemma



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