Discounting and reciprocity in an Iterated Prisoner's Dilemma

Science

Volumn 298, Issue 5601, 2002, Pages 2216-2218

  Stephens, D W ^a   McLinn, C M ^a   Stevens, J R ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BEHAVIORAL RESEARCH;

ANIMAL COOPERATION;

LIVING SYSTEMS STUDIES;

COOPERATIVE BEHAVIOR; RECIPROCITY;

ANIMAL BEHAVIOR; ANIMAL EXPERIMENT; ARTICLE; BIRD; COOPERATION; GAME; NONHUMAN; PRIORITY JOURNAL;

ANIMALS; BEHAVIOR, ANIMAL; COOPERATIVE BEHAVIOR; FEEDING BEHAVIOR; FOOD; GAME THEORY; RANDOM ALLOCATION; SONGBIRDS; TIME FACTORS;

ANIMALIA; AVES; CORVIDAE; CYANOCITTA;

EID: 0037073844     PISSN: 00368075     EISSN: None     Source Type: Journal    
DOI: 10.1126/science.1078498     Document Type: Article

References (28)

1. R. Axelrod, W. D. Hamilton, Science 211, 1390 (1981).
2. L. A. Dugatkin, Cooperation Among Animals: An Evolutionary Perspective (Oxford Univ. Press, New York, 1997).
3. L A. Dugatkin, M. Mesterton-Gibbons, A. I. Houston, Trends Ecol. Evol. 7, 202 (1992).
4. A. E Pusey, C. Packer, in Behavioral Ecology: An Evolutionary Approach, J. R. Krebs, N. B. Davies, Eds. (Blackwell Scientific, Oxford, UK, 1997), pp. 254-283.
5. T. H. Clutton-Brock et al., Nature 284.1640 (1999).
6. R. M. Gardner, T. L Corbin, J. S. Beltramo. G. S. Nickell, Psychol. Rep. 55, 687 (1984).
7. K. C. Clements, D. W. Stephens, Anim. Behav. 5O, 527 (1995).
8. M. Flood, K. Lendenmann, A. Rappoport, Behav. Sci. 28, 65 (1983).
9. L. Green, P. C. Price, M. E. Hamburger, J. Exp. Anal. Behav. 64, 1 (1995).
10. J.-G, J. Godin. S. A. Davis, Proc. R. Soc. London Ser. B 259, 193 (1995).
11. M. Milinski, Nature 325, 433 (1987).
12. D. W. Stephens. J. P. Anderson, K. E. Benson, Anim. Behav. 53, 113 (1997).
13. B. Heinrich, Behav. Ecol. Sociobiol. 23, 141 (1988).
14. _. Ravens in Winter (Simon & Schuster, New York, 1989).
15. R. Axelrod, J. Conflict Resolut. 24, 3 (1980).
16. G. Ainslie, J. Exp. Anal. Behav. 21, 485 (1974).
17. H. Rachlin, L. Green, J. Exp. Anal. Behav. 17, 15 (1972).
18. J. E. Mazur, in Quantitative Analyses of Behavior: The Effect of Delay and of Intervening Events on Reinforcement Value, M. L Commons et al., Eds. (Erlbaum, Hillsdale, NJ, 1987), pp. 55-73.
19. J. E. Mazur, J. Exp. Psychol. Anim. Behav. Processes 10, 426 (1984).
20. M. L. Weitzman, Am. Econ. Rev. 91, 260 (2001).
21. D. W. Stephens, J. Theor. Biol. 205, 1 (2000).
22. Materials and methods are available as supporting material on Science Online.
23. The subject experienced the following Prisoner's Dilemma payoff matrix: four food pellets when both subject and stooge cooperated (R, in conventional notation), zero pellets when the subject cooperated and the stooge defected (S), six pellets when the subject defected and the stooge cooperated (T), and two pellets when both individuals defected (P). The stooge always obtained two food pellets per play.
24. M. Nowak, K. Sigmund, Nature 364. 56 (1993).
25. We could not calculate similar values for conditions in which the opponent played All-D, because in these cases, the subject never has the opportunity to respond to its opponent's cooperation (so t and r cannot be calculated).
26. D. W. Stephens, K. Nishimura, K. B. Toyer, J. Theor. Biol. 176, 457 (1995).
27. A. Silverstein, D. Cross, J. Brown, H. Rachlin, J. Behav. Decis. Making 11, 123 (1998).
28. This work was supported by the NSF and the National Institute of Mental Health. We thank E. Fernandez-Juricic, M. Hauser, B. Kerr, C. Packer, and S. Polasky, who commented on earlier drafts of this manuscript.