Summary
The Avatamsaka game is investigated both analytically and using computer simulations. The Avatamsaka game is a dependent game in which each agent’s payoff depends completely not on her own decision but on the other players’. Consequently, any combination of mixed strategies is a Nash equilibrium.
Analysis and evolutionary simulations show that the socially optimal state becomes evolutionarily stable by a Pavlovian strategy in the repeated Avatamsaka game, and also in any kind of dependent game. The mechanism of the evolutionary process is investigated from the viewpoint of the agent’s memory and mutation of strategies.
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References
Aruka, Y. (2001), “Avatamsaka Game Structure and Experiment on the Web,” in Aruka, Y. (ed.), Evolutionary controversies in Economics, Springer, Tokyo, 115–132.
Boyd, R. (1989), “Mistakes allow evolutionary stability in the repeated prisoner’s dilemma game,” Journal of Theoretical Biology 136,47–56.
von Neumann, J. and O. Morgenstern (1944), Theory of Games and Economic Behavior, Princeton University Press, NJ, USA
Nowak, M. A. and Sigmund, K. (1993), “Chaos and the evolution of cooperation.” Proc. Natl. Acad. Sci. USA 90, 5091–5094.
Nowak, M. A. and Sigmund, K. (1993), “A strategy of win-stay lose-shift that outperforms tit-for-tat in the Prisoner’s Dilemma game.” Nature 364, 56–58.
Kamata, S. (1988), Kegon no Shiso (The Thought of Avatamsaka), in Japanese, Kodan-sha, Tokyo.
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© 2006 Springer-Verlag Berlin Heidelberg
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Akiyama, E., Aruka, Y. (2006). Evolution of Reciprocal Cooperation in the Avatamsaka Game. In: Namatame, A., Kaizouji, T., Aruka, Y. (eds) The Complex Networks of Economic Interactions. Lecture Notes in Economics and Mathematical Systems, vol 567. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28727-2_21
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DOI: https://doi.org/10.1007/3-540-28727-2_21
Publisher Name: Springer, Berlin, Heidelberg
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