A behavioural foundation for models of evolutionary drift

Uriarte, José Ramón

doi:10.1016/j.jebo.2005.06.009

Cited by 1 publication

(1 citation statement)

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“…It is well known that the replicator dynamics could also be derived from behaviours observed in social interactive learning settings; among others, the aspiration-based learning model of Binmore, Gale and Samuelson (1995); or decisions based on imitation and reinforcement of successful behaviour (Schlag, 1998, Weibull, 1995, Cabrales, 2000; or from constant doubts based decision procedures, as in Cabrales and Uriarte (2010). See also Uriarte (2006).…”

Section: Propositionmentioning

confidence: 99%

Minority language and the stability of bilingual equilibria

Iriberri

Uriarte

2012

Rationality and Society

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We investigate a society with two o¢ cial languages: A, shared by all individuals and B, spoken by a bilingual minority. Thus, it is only B that needs to increase its population share, and therefore, only the language dynamics that derive from the interactions that occur inside the bilingual population are both empirically and theoretically relevant. To this end, a model is developed in which the bilingual agents must make strategic decisions about the language to be used in a conversation. Decisions are taken under imperfect information about the linguistic type of the participants in the interaction. We …rst study all the possible equilibria the model might produce and the language used in each of them. Then, in a dynamic setting, we study the building of a language convention by the bilingual speakers.The main result is that there is a mixed strategy Nash equilibrium in which bilingual agents use both the A and B languages. This equilibrium is evolutionary stable, and dynamically, it is asymptotically stable for the one-population replicator dynamics. In this equilibrium, the use of B between bilingual individuals could be very low.2

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Section: Propositionmentioning

confidence: 99%