Mixed oligopoly in education
AbstractThis paper studies oligopolistic competition in education markets when schools can be private and public and when the quality of education depends on "peer group"effects. In the first stage of our game schools set their quality and in the second stage they fix their tuition fees. We examine how the (subgame perfect Nash) equilibrium allocation (qualities, tuition fees and welfare) is affected by the presence of public schools and by their relative position in the quality range. When there are no peer group effects, efficiency is achieved when (at least) all but one school are public. In particular in the two school case, the impact of a public school is spectacular as we go from a setting of extreme differentiation to an efficient allocation. However, in the three school case, a single public school will lower welfare compared to the private equilibrium. We then introduce a peer group effect which, for any given school is determined by its student with the highest ability. These PGE do have a significant impact on the results. The mixed equilibrium is now never efficient. However, welfare continues to be improved if all but one school are public. Overall, the presence of PGE reduces the effectiveness of public schools as regulatory tool in an otherwise private education sector.
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Date of creation: Feb 2013
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Education; peer-group effects; mixed duopoly;
Other versions of this item:
- Helmuth Cremer & Dario Maldonado, 2013. "Mixed Oligopoly in Education," CESifo Working Paper Series 4163, CESifo Group Munich.
- Cremer, Helmuth & Maldonado, Dario, 2013. "Mixed oligopoly in education," TSE Working Papers 13-381, Toulouse School of Economics (TSE).
- Cremer, Helmuth & Maldonado, Dario, 2013. "Mixed Oligopoly in Education," IZA Discussion Papers 7264, Institute for the Study of Labor (IZA).
- Helmuth Cremer & Dario Maldonado, 2013. "Mixed oligopoly in education," DOCUMENTOS DE TRABAJO 010500, UNIVERSIDAD DEL ROSARIO.
- I2 - Health, Education, and Welfare - - Education
- L33 - Industrial Organization - - Nonprofit Organizations and Public Enterprise - - - Comparison of Public and Private Enterprise and Nonprofit Institutions; Privatization; Contracting Out
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-03-23 (All new papers)
- NEP-EDU-2013-03-23 (Education)
- NEP-GTH-2013-03-23 (Game Theory)
- NEP-URE-2013-03-23 (Urban & Real Estate Economics)
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