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Mathematical Modeling of Language Games (Contributo in volume (capitolo o saggio))

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Mathematical Modeling of Language Games (Contributo in volume (capitolo o saggio)) (literal)

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Vittorio Loreto (1,4); Andrea Baronchelli (3); Andrea Puglisi (1,2) (2010)
Mathematical Modeling of Language Games
Springer-Verlag, Berlin (Germania) in Evolution of Communication and Language in Embodied Agents, 2010
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In: Evolution of Communication and Language in Embodied Agents. 1st ed. vol. XI, Part 3 pp. 263 - 281. Stefano Nolfi and Marco Mirolli (eds.). Berlin Heidelberg: Springer-Verlag, 2010. (literal)

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In this chapter we explore several language games of increasing complexity. We first consider the so-called Naming Game, possibly the simplest example of the complex processes leading progressively to the establishment of human-like languages. In this framework, a globally shared vocabulary emerges as a result of local adjustments of individual word-meaning association. The emergence of a common vocabulary only represents a first stage while it is interesting to investigate the emergence of higher forms of agreement, e.g., compositionality, categories, syntactic or grammatical structures. As an example in this direction we consider the so-called Category Game. Here one focuses on the process by which a population of individuals manages to categorize a single perceptually continuous channel. The problem of the emergence of a discrete shared set of categories out of a continuous perceptual channel is a notoriously difficult problem relevant for color categorization, vowels formation, etc (literal)

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(1) Dipartimento di Fisica, \"Sapienza\" Università di Roma, Piazzale Aldo Moro 5, 00185 Rome, Italy (2) CNR (INFM-SMC and ISC), Piazzale Aldo Moro 5, 00185 Rome, Italy (3) Departament de Física i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Campus Nord B4, 08034 Barcelona, Spain (4) ISI Foundation, Viale Settimio Severo 65, 10133 Villa Gualino, Turin, Italy (literal)

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Abstract

In this chapter we explore several language games of increasing complexity. We first consider the so-called Naming Game, possibly the simplest example of the complex processes leading progressively to the establishment of human-like languages. In this framework, a globally shared vocabulary emerges as a result of local adjustments of individual word-meaning association. The emergence of a common vocabulary only represents a first stage while it is interesting to investigate the emergence of higher forms of agreement, e.g., compositionality, categories, syntactic or grammatical structures. As an example in this direction we consider the so-called Category Game. Here one focuses on the process by which a population of individuals manages to categorize a single perceptually continuous channel. The problem of the emergence of a discrete shared set of categories out of a continuous perceptual channel is a notoriously difficult problem relevant for color categorization, vowels formation, etc. The central result here is the emergence of a hierarchical category structure made of two distinct levels: a basic layer, responsible for fine discrimination of the environment, and a shared linguistic layer that groups together perceptions to guarantee communicative success. (literal)

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