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Where Innovation Meets Evolution Signaling Game Dynamics and the Vowel Space

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Where Innovation Meets Evolution

Signaling Game Dynamics and the Vowel Space

Roland M¨uhlenbernd & Jonas David Nick

With the objective to explore the evolution of language conventions,signaling games(Lewis, 1969) recently became a leading model for this purpose. In line with this trend researchers used simula- tions to explore the behavior of agents playing repeated signaling games combined with learning dynamics likereinforcement learning on social network structures or at least multi-agents accounts (c.f. M¨uhlenbernd and Franke, 2012). With this paper we want to make a contribution to this line of research by extending the account of signaling games and reinforcement learning with the possi- bility ofinnovation, i.e. agents can invent new messages and furthermore unused messages can get extinct (c.f. M¨uhlenbernd, Nick, and Adam, 2012). This new account constitutes a form of agree- ment dynamics (c.f. Steels, 1998). We’ll show that with the property of innovation the emergence of society-wide signaling systems is guaranteed even for complex signaling games.

Additionally, inspired by a study of J¨ager (2008), who used repeated signaling games with a metric message spaceapplied on multi-agent populations to simulate the emergence ofcategorization systems of the human vowel space, we extended our account with a metric message space to simulate exactly the same phenomenon. As opposed to J¨ager’s results our experiments show that the segments of the vowel space that constitute phoneme categories cannot emerge simultaneously, but incrementally by reorganizing the segmentation structure. Furthermore our results give indications of how different vowel systems are probably originally related.

References

J¨ager, Gerhard (2008). “Applications of Game Theory in Linguistics”. In:Language and Linguistics Compass 2/3, pp. 406–421.

Lewis, David (1969). Convention. Cambridge: Harvard University Press.

M¨uhlenbernd, Roland and Michael Franke (2012). “Signaling Conventions: Who Learns What Where and When in a Social Network”. In:Proceedings of EvoLang IX, pp. 242–249.

M¨uhlenbernd, Roland, Jonas David Nick, and Christian Adam (2012). “The Force of Innovation:

Emergence and Extinction of Messages in Signaling Games”. In: Proceedings of the ESSLLI 2012 Student Session, pp. 102–113.

Steels, Luc (1998). “The Origins of Ontologies and Communication Conventions in Multi-Agent Systems”. In: Autonomous Agents and Multi-Agent Systems 1.2, pp. 169–194.

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