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Can a raise in your wage make you worse off? A public goods perspective
Institution:1. Department of Economics, Florida Atlantic University, 777 Glades Road, Boca Raton, FL 33431, USA;2. Department of Economics, Simon Fraser University, 8888 University Drive, Burnaby, BC, Canada V5A 1S6;1. Fraunhofer Institute for Industrial Mathematics ITWM, Kaiserslautern, Germany;2. Laboratory of Engineering Thermodynamics, University of Kaiserslautern, Germany;1. Departamento de Matemáticas, Fac. Ciencias Experimentales, University of Huelva, Avda. Tres de Marzo s/n, 21071 Huelva, Spain;2. Departamento de Matemática Aplicada II, E.S. Ingenieros, University of Sevilla, Camino de los Descubrimientos s/n, 41092 Sevilla, Spain;1. Department of Mathematics and Computation, University of Burgos, Plaza Misael Bañuelos s/n, Burgos, Spain;2. Department of Chemistry (Analytical Chemistry), University of Burgos, Plaza Misael Bañuelos s/n, Burgos, Spain
Abstract:We show that a seemingly paradoxical result is possible—an increase in one's wage can reduce one's welfare. Such outcome can occur in an economy populated by agents who value a private good bought using labor income and a public good produced by voluntary time contributions. A raise in the wage (in general, opportunity cost of time) makes each agent substitute away from contributing to the public good, failing to internalize the negative externality imposed on others. The result is a decrease in public good provision. Under quite general conditions, the implied cumulative negative effect on agents' welfare can more than offset the positive effect of the wage raise from increased private good consumption and lead to an equilibrium in which all agents are worse off. Our result is particularly relevant for developing economy settings as it holds for relatively low initial wage levels. We discuss the applicability of our findings to a number of important problems in development, such as market integration, cooperation in common pool resource conservation and social capital.
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