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반복 죄수의 딜레마 게임에서의 새로운 전략 공간 그리고 "좋은" 전략의 진화

A New Strategy Space in the Repeated Prisoner’s Dilemma Game and the Evolution of “Good” Strategies

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키워드

주제분류경제학

초록

대부분의 경우 반복 죄수의 딜레마 게임은 과거 역사 집합에 대한 제한된 가정하에서 분석되어 왔다. 본 연구에서는 경기자들이 반복 게임의 전체 역사 집합을 사용하면서도, 계산가능하고 분석가능하도록 정의된 전략 공간을 가정하고자 한다. 그리고 이러한 전략 공간에서 “좋은” 전략이 갖추어야 할 조건들로 “가해회피 조건”과 “피해회피 조건”을 제시한 후, 이러한 “좋은” 전략으로서의 조건을 갖춘 전략들이 협력을 지탱해주는 전략으로 진화할 수 있음을 보이고자 한다. 그리고 이런 전략들이 실수가 고려되는 환경에서도 효과적인 전략이 됨을 확인할 것이다.

Abstract

Repeated prisoner’s dilemma games have been studied mostly under a restrictive assumption on past history sets. In this paper, we propose a strategy space based on new assumptions on players’ history set which covers the whole history but is computable and analyzable. We propose two conditions that a “good” strategy is required to satisfy; aversion to free-riding on others and aversion to being free-riden by others. We show that the strategies satisfying two conditions for being a “good” strategy evolve and support cooperation. Furthermore, these strategies appear to be effective in errorprone environments.

참고문헌 (27)

  1. 리우신밍, "착취회피 전략이 반복된 죄수의 딜레마 게임에서 협력 행위에 미치는 영향", 석사, pp.2022
  2. Abreu, D., "The structure of Nash equilibrium in repeated games with finite automata", Econometrica, 56(6), pp.1259~1281 (1988)
  3. Axelrod, R., "The evolution of cooperation", science, 211(4489), pp.1390~1396 (1981)
  4. Axelrod, R., "The Evolution of Cooperation" (1984), Basic Books
  5. Binmore, K. G., "Evolutionary stability in repeated games played by finite automata", Journal of Economic Theory, 57(2), pp.278~305 (1992)
  6. Binmore, K., "Natural Justice" (2005), Oxford University Press
  7. Boerlijst, M. C., "The logic of contrition", Journal of Theoretical Biology, 185(3), pp.281~293 (1997)
  8. Boyd, R., "Mistakes allow evolutionary stability in the repeated prisoner's dilemma game", Journal of Theoretical Biology, 136, pp.47~56 (1989)
  9. Choi, J. -K., "Trembles may support cooperation in a repeated prisoner's dilemma game", Journal of Economic Behavior & Organization, 63(3), pp.384~393 (2007)
  10. Fudenberg, D., "Evolution and cooperation in noisy repeated games", American Economic Review, 80, pp.274~279 (1990)
  11. Hilbe, C., "Memory-n strategies of direct reciprocity", Proceedings of the National Academy of Sciences, 114(18), pp.4715~4720 (2017)
  12. Kim, M., "Win-Stay-Lose-Shift as a self-confirming equilibrium in the iterated Prisoner’s Dilemma", Proceeding of the Royal Society B, 288(1953) (2021)
  13. Nowak, M. A., "Tit for tat in heterogeneous populations", Nature, 355(6357), pp.250~253 (1992)
  14. Nowak, M., "A strategy of win-stay, lose-shift that outperforms tit-for-tat in the Prisoner's Dilemma game", Nature, 364(6432), pp.56~58 (1993)
  15. Neyman, A., "Cooperation: Game-Theoretic Approaches, Vol. 155", pp.233~255 (1997)
  16. Lorberbaum, J., "No strategy is evolutionarily stable in the repeated prisoner's dilemma", Journal of Theoretical Biology, 168(2), pp.117~130 (1994)
  17. Miller, J. H., "The coevolution of automata in the repeated prisoner's dilemma", Journal of Economic Behavior & Organization, 29(1), pp.87~112 (1996)
  18. Murase, Y., "Five rules for friendly rivalry in direct reciprocity", Scientific Reports, 10(1), pp.1~9 (2020)
  19. Ohtsuki, H., "The leading eight: Social norms that can maintain cooperation by indirect reciprocity", Journal of Theoretical Biology, 239, pp.435~444 (2006)
  20. Osborne, M. J., "A Course in Game Theory" (1994), MIT Press
  21. Osborne, M. J., "An Introduction to Game Theory" (2004), Oxford University Press
  22. Rubinstein, A., "Finite automata play the repeated prisoner's dilemma", Journal of Economic Theory, 39(1), pp.83~96 (1986)
  23. Samuelson, L., "Evolution and game theory", Journal of Economic Perspectives, 16(2), pp.47~66 (2002)
  24. Sethi, R., "Understanding reciprocity", Journal of Economic Behavior & Organization, 50(1), pp.1~27 (2003)
  25. Sugden, R., "The Economics of Rights, Cooperation and Welfare" (1986), Basic Blackwell
  26. Wu, J., "How to cope with noise in the iterated prisoner's dilemma", Journal of Conflict Resolution, 39(1), pp.183~189 (1995)
  27. Yi, S. D., "Combination with anti-tit-for-tat rememdies problems of tit-for-tat", Journal of Theoretical Biology, 412, pp.1~7 (2017)

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