Abstract
Rules such as laws, institutions, and norms can be changed dynamically in our society, because they are shaped by interactions among social members who are affected by them. However, there are also some stable rules enhanced by interactions among rules. In this article, we discuss whether or not rules can be stabilized by interactions among the rules. To investigate this, we propose a multi-game model in which different games are played simultaneously by the dynamic cognitive agents. A minority game (MG) and an n-person iterated prisoners’ dilemma game (NIPDG) are adopted. In our simulation, we found that the agents internalize the complex rules expressed as intricate geometrical shapes like strange attractors on the phase spaces, when the complex macro dynamics emerged. Furthermore, it showed that the macro dynamics shaped by the macro rules in the MG can be stabilized by interaction between the MG and the NIPDG rules internalized in the agents.
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The x and the y-axes of each figure are the steps and the time-series of winners’ actions converted to real numbers, respectively.
The x, y and z-axes of each figure are the values of the output neurons, the 1st and the 2nd hidden neurons, respectively.
References
North DC (1990) Institutions, institutional change and economic performance. Cambridge University Press, Cambridge
Aoki M (2001) Toward a comparative institutional analysis. MIT Press, Cambridge
Nishibe M (2006) Rules and institutions in evolutionist institutional design (in Japanese). Econ Stud Hokkaido Univ 56(2):133–146
Challet D, Zhang YC (1997) Emergence of cooperation and organization in an evolutionary game. Phys A 246:407–418
Colman AM (1982) Game theory and experimental games. Pergamon Press, Oxford
Sato T, Hashimoto T (2007) Dynamic social simulation with multiagents having internal dynamics. In: Sakurai A (ed) New frontiers in artificial intelligence. Joint Proceeding of the 17th and 18th Annual Conferences of the Japanese Society for Artificial Intelligence. Springer, Berlin, pp 237–251
Elman JL (1990) Finding structure in time. Cogn Sci 14(2):179–211
Sato T, Hashimoto T (2005) Effect of internal dynamics and micro-macro loop on dynamics of social structures (in Japanese). Trans Math Model Appl (TOM) 46:81–92
Sato T (2012) Effect of interaction between rules on rule dynamics in a multi-group minority game. Artif Life Robot 16(4):493–496
Acknowledgments
The author thanks Takashi Hashimoto and Zacharie Mbaitiga for their fruitful discussions. This work was supported by a Grant-in-Aid for Young Scientists (B) No. 22700242 from the Japan Society for Promotion of Science (JSPS).
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Sato, T. Dynamics of rules internalized in dynamic cognitive agents playing a multi-game. Artif Life Robotics 17, 306–311 (2012). https://doi.org/10.1007/s10015-012-0063-z
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DOI: https://doi.org/10.1007/s10015-012-0063-z