Minority Language and the Stability of Bilingual Equilibria
AbstractWe investigate a society with two official languages: A, shared by all individuals and B, spoken by a bilingual mirority. Thus, it is only B that needs t increase its population share, and therefore, only the language dynamics that derive from the intearctions 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 first study all the posible 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.
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Bibliographic InfoPaper provided by Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I in its series IKERLANAK with number 2011-45.
Date of creation: Dec 2010
Date of revision:
Postal: Dpto. de Fundamentos del Análisis Económico I, Facultad de CC. Económicas y Empresariales, Universidad del País Vasco, Avda. Lehendakari Aguirre 83, 48015 Bilbao, Spain
Find related papers by JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
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- Ramon Caminal, 2013. "The Economic Value of Reciprocal Bilingualism," Working Papers 713, Barcelona Graduate School of Economics.
- Ramon Caminal, 2013. "The economic value of reciprocal bilingualism," UFAE and IAE Working Papers 933.13, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
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