Skip to main content
Log in

The Evolution of Compositionality in Signaling Games

  • Published:
Journal of Logic, Language and Information Aims and scope Submit manuscript

Abstract

Compositionality is a key design feature of human language: the meaning of complex expressions is, for the most part, systematically constructed from the meanings of its parts and their manner of composition. This paper demonstrates that rudimentary forms of compositional communicative behavior can emerge from a variant of reinforcement learning applied to signaling games. This helps explain how compositionality could have emerged gradually: if unsophisticated agents can evolve prevalent dispositions to communicate compositional-like, there is a direct evolutionary benefit for adaptations that exploit the systematicity in form-meaning mappings more rigorously.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  • Argiento, R., Pemantle, R., Skyrms, B., & Volkov, S. (2009). Learning to signal: Analysis of a micro-level reinforcement model. Stochastic Processes and their Applications, 119, 373–390.

    Article  Google Scholar 

  • Barrett, J. A. (2007). Dynamic partitioning and the conventionality of kinds. Philos. Sci., 74, 527–546.

    Article  Google Scholar 

  • Barrett, J. A. (2009). The evolution of coding in signaling games. Theor. Decis., 67, 223–237.

    Article  Google Scholar 

  • Barrett, J. A., & Zollman, K. J. S. (2009). The role of forgetting in the evolution and learning of language. Journal of Experimental and Theoretical Artificial Intelligence, 21(4), 293–309.

    Article  Google Scholar 

  • Batali, J. (1998). Computational simulations of the emergence of grammar. In J. R. Hurford, M. Studdert-Kennedy, & C. Knight (Eds.), Evolution of language: Social and cognitive bases. Cambridge: Cambridge University Press.

    Google Scholar 

  • Blume, A., Kim, Y. G., & Sobel, J. (1993). Evolutionary stability in games of communication. Games and Economic Behavior, 5(5), 547–575.

    Article  Google Scholar 

  • Brinkhorst, S. (2014). On evolution of compositionality. Master’s thesis, Universiteit van Amsterdam.

  • Brochhagen, T. (2015). Minimal requirements for productive compositional signaling. In Proceedings of CogSci (pp. 285–290).

  • Franke, M., & Jäger, G. (2012). Bidirectional optimization from reasoning and learning in games. Journal of Logic, Language and Information, 21(1), 117–139.

    Article  Google Scholar 

  • Franke, M., & Wagner, E. (2014). Game theory and the evolution of meaning. Language and Linguistics Compass, 8(9), 359–372.

    Article  Google Scholar 

  • Frege, F. L. G. (1923). Gedankengefüge. In Beiträge zur Philosophie des deutschen Idealismus, Band III. (pp. 36–51). Deutsche Philosophische Gesellschaft.

  • Gong, T. (2007). Language evolution from a simulation perspective: On the coevolution of compositionality and regularity. Hong Kong: Chinese University of Hong Kong.

    Google Scholar 

  • Hurford, J. R. (1989). Biological evolution of the saussurean sign as a component of the language acquisition device. Lingua, 77(2), 187–222.

    Article  Google Scholar 

  • Huttegger, S. M. (2007). Evolution and the explanation of meaning. Philosophy of Science, 74, 1–27.

    Article  Google Scholar 

  • Huttegger, S. M., & Zollman, K. J. S. (2011). Signaling games: Dynamics of evolution and learning. In A. Benz, C. Ebert, G. Jäger, & R. van Rooij (Eds.), Language, games, and evolution, LNAI 6207 (pp. 160–176). Berlin: Springer.

    Chapter  Google Scholar 

  • Huttegger, S. M., Skyrms, B., Smead, R., & Zollman, K. J. S. (2010). Evolutionary dynamics of lewis signaling games: Signaling systems vs. partial pooling. Synthese, 172(1), 177–191.

    Article  Google Scholar 

  • Kirby, S. (2002). Learning, bottlenecks and the evolution of recursive syntax. In T. Briscoe (Ed.), Linguistic evolution through language acquisition: Formal and computational models (pp. 173–204). Cambridge: Cambridge University Press.

    Chapter  Google Scholar 

  • Kirby, S., & Hurford, J. R. (2002). The emergence of linguistic structure: An overview of the iterated learning model. In A. Cangelosi & D. Parisi (Eds.), Simulating the evolution of language (pp. 121–148). Berlin: Springer.

    Chapter  Google Scholar 

  • Lewis, D. (1969). Convention. A philosophical study. Cambridge, MA: Harvard University Press.

    Google Scholar 

  • Lewis, D. (1988). Relevant implication. Theoria, 54, 162–174.

    Google Scholar 

  • Loreto, V., Baronchelli, A., & Puglisi, A. (2010). Mathematical modeling of language games. In S. Nolfi & M. Mirolli (Eds.), Evolution of communication and language in embodied agents (pp. 263–281). Berlin: Springer.

    Chapter  Google Scholar 

  • Mühlenbernd, R. (2011). Learning with neighbors: Emergence of convention in a society of learning agents. Synthese, 183, 87–109.

    Article  Google Scholar 

  • Nowak, M. A., & Krakauer, D. C. (1999). The evolution of language. Proceedings of the National Academy of Sciences, 96, 8028–8033.

    Article  Google Scholar 

  • Nowak, M. A., Plotkin, J. B., & Jansen, V. A. A. (2000). The evolution of syntactic communication. Nature, 404(30), 495–498.

  • O’Connor, C. (2014). The evolution of vagueness. Erkenntnis, 79(4), 707–727.

    Article  Google Scholar 

  • Oliphant, M., & Batali, J. (1997). Learning and the emergence of coordinated communication. Center for Research on Language Newsletter, 11(1), 1–46.

  • Pagin, P., & Westerståhl, D. (2010a). Compositionality I: Definitions and variants. Philosophy Compass, 5(3), 250–264.

    Article  Google Scholar 

  • Pagin, P., & Westerståhl, D. (2010b). Compositionality II: Arguments and problems. Philosophy Compass, 5(3), 265–282.

    Article  Google Scholar 

  • Pawlowitsch, C. (2008). Why evolution does not always lead to an optimal signaling system. Games and Economic Behavior, 63(1), 203–226.

    Article  Google Scholar 

  • Roth, A. E., & Erev, I. (1995). Learning in extensive form games: Experimental data and simple dynamical models in the intermediate term. Games and Economic Behavior, 8(1), 164–212.

    Article  Google Scholar 

  • Selten, R. (1980). A note on evolutionarily stable strategies in asymmetric animal conflicts. Journal of Theoretical Biology, 84, 93–101.

    Article  Google Scholar 

  • Skyrms, B. (2010). Signals: Evolution, learning, and information. Oxford: Oxford University Press.

    Book  Google Scholar 

  • Smead, R., & Zollman, K. J. S. (2013). The stability of strategic plasticity. Unpublished manuscript.

  • Smith, K., Kirby, S., & Brighton, H. (2003). Iterated learning: A framework for the emergence of language. Artificial Life, 9, 371–386.

    Article  Google Scholar 

  • Steinert-Threlkeld, S. (2014). Learning to use function words in signaling games. In E. Lorini, & L. Perrussel (Eds.), Proceedings of information dynamics in artificial societies IDAS-14.

  • Tria, F., Galantucci, B., & Loreto, V. (2012). Naming a structured world: A cultural route to duality of patterning. PLoS One, 7(6), e37,744.

    Article  Google Scholar 

  • Wärneryd, K. (1993). Cheap talk, coordination, and evolutionary stability. Games and Economic Behavior, 5(4), 532–546.

    Article  Google Scholar 

  • Zollman, K. J. S., & Smead, R. (2010). Plasticity and language: An example of the Baldwin effect? Philosophical Studies, 147(1), 7–21.

    Article  Google Scholar 

Download references

Acknowledgments

The development of this material has benefited from comments of and discussions with many colleagues: Jeffrey Barrett, Sven Banisch, Sanne Brinkhorst, Rüdiger Gleim, Simon Kirby, Harvey Lederman, Robert van Rooij, Shawn Simpson, Shane Steinert-Threlkeld, Peter Vogt, and Elliott Wagner. I would also like to thank three anonymous referees for insightful comments and suggestions, as well as the editors of this special issue for their efforts. Financial support by NWO-VENI Grant 275-80-004 and the Institutional Strategy of the University of Tübingen (Deutsche Forschungsgemeinschaft, ZUK 63) is gratefully acknowledged.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Michael Franke.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Franke, M. The Evolution of Compositionality in Signaling Games. J of Log Lang and Inf 25, 355–377 (2016). https://doi.org/10.1007/s10849-015-9232-5

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10849-015-9232-5

Keywords

Navigation