Formula

Citizens' MRS as the Marginal Utility of Wages in the Browneville Model

In the Browneville model, the Marginal Rate of Substitution (MRS) is the amount of environmental quality (E) a citizen must forgo to keep their utility constant after a wage increase. When wages rise by $1, a citizen's utility increases by the marginal utility of wages (MU). To counteract this gain and maintain the same level of overall satisfaction, environmental quality must be reduced by an equivalent amount. Therefore, the required reduction in E is exactly MU dollars, establishing the relationship: MRScitizens=MUwagesMRS_{citizens} = MU_{wages}.

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Updated 2026-05-02

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