Abstract
Why is it that in an animal society, persistent selfishness is quite rare yet in human society, even strict laws and severe punishment do not eliminate selfish action against the interests of the whole? Stochastic learning agents called Pavlov strategies are used to model interactions in the multi-agent 2×2 Stag Hunt matrix game, a close relative of the Prisoner's Dilemma. Markov chain methods and computer simulations establish a threshold learning rate for the stability of cooperation. A society of rapidly adapting agents may suffer strife and dissension while another society with slower learning agents will enjoy the benefits of virtually complete cooperation.
Preview
Unable to display preview. Download preview PDF.
References
R. Axelrod. The Evolution of Cooperation. New York: Basic Books, 1984.
R. Axelrod and J. Dion. Annotated Bibliography on the Evolution of Cooperation, Institute of Public Policy Studies. Ann Arbor, Univ of Michigan Press, 1987.
G. Brennan and J. Buchanan. The Reason of Rules. London: Cambridge University Press, 1985.
R. Bush and W. Estes. Studies in Mathematical Learning Theory. Stanford University Press, 1959.
J. Coleman. Social structures and the emergence of norms among rational actors. Paradoxical Effects of Social Behavior, Wein: Physica, 1986.
G. Davey. Ecological Learning Theory. London: Routledge, 1989.
S. Franklin and A. Graesser. Is it an agent or just a program? A taxonomy for autonomous agents. In J.P. Müller, M.J. Wooldridge, and N.R. Jennings, editors, Intelligent Agents III—Proceedings of the Third International Workshop on Agent, Theories, Architectures, and Languages (ATAL-96), Lecture Notes of Artificial Intelligence. Springer-Verlag, Heidelberg, 1996. In this volume.
J.C. Gittens. Multi-armed Bandit Allocation Indices. John Wiley, 1989.
B.R. Hergenhahn. Introduction to the Theory of Learning. Prentice Hall, 1976.
T. Hobbes. De Cive [1642]. New York: Appleton-Century-Crofts, 1949.
J. Kemeny and J. Snell. Finite Markov Chains. New York: Springer-Verlag, 1976.
D. Kraines and V. Kraines. Pavlov and the Prisoner's Dilemma. Theory and Decision, 26:47–79, 1989.
D. Kraines and V. Kraines. Learning to cooperate with Pavlov: An adaptive strategy for the Prisoner's Dilemma with noise. Theory and Decision, 35:107–150, 1993.
D. Kraines and V. Kraines. Evolution of learning among Pavlov Strategies in a competitive environment with noise. Journal of Conflict Resolution, 39:439–466, 1995.
J.R. Krebs, A. Kacelnik and P. Taylor. Tests of optimal sampling by foraging great tits. Nature, 275:27–31, 1978.
C. Lave and J. March. An Introduction to models in the social sciences. New York: Harper and Row, 1975.
M. Macy. Learning to cooperate: Stochastic and tacit collusion in social exchange. American J. of Sociology, 97: 808–43, 1991.
M. Macy. Pavlov and the evolution of cooperation: An experimental test. Social Psychology Quarterly, 58:74–87, 1995.
J. Maynard Smith. Evolution and the Theory of Games. Cambridge: Cambridge University Press, 1982.
M. Nowak and K. Sigmund. A strategy of win-stay-lose shift that outperforms tit-for-tat in the Prisoner's Dilemma game. Nature, 364:56–58, 1993
M. Nowak and K. Sigmund. Evolutionary games and spatial chaos. Nature, 359:826–829, 1992.
A. Rapoport and A.M. Chammah. Prisoner's Dilemma. Ann Arbor: University of Michigan Press, 1965.
A. Rapoport, M. Guyer, and O. Gordon. The 2 × 2 Game. Ann Arbor: University of Michigan Press, 1976.
J.J. Rousseau. [1754] Discourse on the origins of inequality. Univ. Press of New England, 1992.
K. Sigmund. Games of Life. Oxford University Press, 1993.
H. Simon. A mechanism for social selection and successful altruism. Science, 250: 1665–1668, 1991.
E. Sober and D.S. Wilson. Group Selection and Human Behavior. (in preparation).
J. Staddon. Behaviorism: Mind, Mechanism and Society. Duckworth, 1993.
A. Tversky and D. Kahneman. Advances in prospect theory: Cumulative representation of uncertainty. J. of Risk and Uncertainty, 5:297–323, 1992.
J. von Neumann. Zur Theorie der Gesellschaftsspiele. Mathematische Annalen, 100: 295–320, 1928.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1997 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kraines, D., Kraines, V. (1997). The threshold of cooperation among adaptive agents: Pavlov and the Stag Hunt. In: Müller, J.P., Wooldridge, M.J., Jennings, N.R. (eds) Intelligent Agents III Agent Theories, Architectures, and Languages. ATAL 1996. Lecture Notes in Computer Science, vol 1193. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0013588
Download citation
DOI: https://doi.org/10.1007/BFb0013588
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-62507-0
Online ISBN: 978-3-540-68057-4
eBook Packages: Springer Book Archive