Abstract
Polities and organizations use and require particular languages for official business. The choice of official languages is a vexing issue. Theorists, convinced that a fair language policy cannot be efficient, have despaired of an elegant solution. To investigate this apparent dilemma, I mathematically model the problem of choosing an efficient and fair language policy for a plurilingual polity. The policy designates official languages and taxes the language groups to pay for translation among the official languages. Contrary to prevailing wisdom, this model implies that a fair language policy can be efficient. But what if language groups rationally misrepresent the costs of using a nonnative official language? Even then, the policy maker can discover a fair language policy and, under some conditions, can use a cost-revelation procedure that discovers a fair and efficient language policy. The results challenge the claim that efficiency and practicality excuse the inferior treatment of language minorities.

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