Skip to main content
Log in

Minimum Nomic: a tool for studying rule dynamics

  • Original Article
  • Published:
Artificial Life and Robotics Aims and scope Submit manuscript

Abstract

We propose a kind of self-amendment game, Minimum Nomic, as a model to study rule dynamics. Nomic is a game in which changing a rule of the game is a move. Minimum Nomic is a reduced version of the original Nomic, which keeps the essence but promotes the evolvability of the self-amendment game. We discuss the characteristics of Minimum Nomic from the viewpoint of how the changeability of the rules and the durability of the games change with the progress of the game. By analyzing the dynamics of purpose and goals, and the self-referential property in observations of the games played, we claim that Minimum Nomic is an interesting tool to study rule dynamics.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Hashimoto T (2007) Three undecomposabilities in complex systems. European Conference on Complex Systems (ECCS’07), Dresden, October 1–5

  2. Odling-Smee FJ, Laland KN, Feldman MW (2003) Niche construction: the neglected process in evolution. Princeton University Press, Princeton

    Google Scholar 

  3. Suber P (1990) The paradox of self-amendment. A study of logic, law, omnipotence, and change. Peter Lang, New York

    Google Scholar 

  4. Hofstadter DR (1985) Metamagical themas: questing for the essence of mind and pattern: Basic Books, New York

    Google Scholar 

  5. Juul J (2003) The game, the player, the world: looking for a heart of gameness. In: Level Up: Digital Games Research Conference Proceedings, University of Utrecht, Utrecht, pp 30–45. http://www.digra.org/dl

    Google Scholar 

  6. Hofstadter DR (1979) Gödel, Escher, Bach: an eternal golden braid. Basic Books, New York

    Google Scholar 

  7. Kim SJ, Aizawa Y (1999) Synchronization phenomena in rule dynamical systems. Prog Theor Phys 102:729–748

    Article  Google Scholar 

  8. Namikawa J, Hashimoto T (2004) Dynamics and computation in functional shifts. Nonlineality 17:1317–1336

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Takashi Hashimoto.

Additional information

This work was presented in part at the 13th International Symposium on Artificial Life and Robotics, Oita, Japan, January 31–February 2, 2008

About this article

Cite this article

Hatakeyama, M., Hashimoto, T. Minimum Nomic: a tool for studying rule dynamics. Artif Life Robotics 13, 500–503 (2009). https://doi.org/10.1007/s10015-008-0605-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10015-008-0605-6

Key words

Navigation