[go: up one dir, main page]

IDEAS home Printed from https://ideas.repec.org/p/ces/ceswps/_4163.html
   My bibliography  Save this paper

Mixed Oligopoly in Education

Author

Listed:
  • Helmuth Cremer
  • Dario Maldonado
Abstract
This 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.

Suggested Citation

  • Helmuth Cremer & Dario Maldonado, 2013. "Mixed Oligopoly in Education," CESifo Working Paper Series 4163, CESifo.
  • Handle: RePEc:ces:ceswps:_4163
    as

    Download full text from publisher

    File URL: https://www.cesifo.org/DocDL/cesifo1_wp4163.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. David J. Zimmerman, 2003. "Peer Effects in Academic Outcomes: Evidence from a Natural Experiment," The Review of Economics and Statistics, MIT Press, vol. 85(1), pages 9-23, February.
    2. MacLeod, Bentley, 2009. "Anti-Lemons: School Reputation and Educational Quality," Department of Economics, Working Paper Series qt3rc708kd, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    3. Romero, Laura & Rey, Elena del, 2004. "Competition between public and private universities: quality, prices and exams," UC3M Working papers. Economics we046423, Universidad Carlos III de Madrid. Departamento de Economía.
    4. Kirjavainen, Tanja & Loikkanent, Heikki A., 1998. "Efficiency differences of finnish senior secondary schools: An application of DEA and Tobit analysis," Economics of Education Review, Elsevier, vol. 17(4), pages 377-394, October.
    5. Stephanie Riegg Cellini & Claudia Goldin, 2014. "Does Federal Student Aid Raise Tuition? New Evidence on For-Profit Colleges," American Economic Journal: Economic Policy, American Economic Association, vol. 6(4), pages 174-206, November.
    6. Joshua D. Angrist & Kevin Lang, 2004. "Does School Integration Generate Peer Effects? Evidence from Boston's Metco Program," American Economic Review, American Economic Association, vol. 94(5), pages 1613-1634, December.
    7. De Fraja, Gianni & Iossa, Elisabetta, 2002. "Competition among Universities and the Emergence of the Elite Institution," Bulletin of Economic Research, Wiley Blackwell, vol. 54(3), pages 275-293, July.
    8. William N. Evans & Wallace E. Oates & Robert M. Schwab & William N. Evans & Wallace E. Oates & Robert M. Schwab, 2004. "Measuring Peer Group Effects: A Study of Teenage Behavior," Chapters, in: Environmental Policy and Fiscal Federalism, chapter 13, pages 232-257, Edward Elgar Publishing.
    9. Bruce Sacerdote, 2001. "Peer Effects with Random Assignment: Results for Dartmouth Roommates," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(2), pages 681-704.
    10. Caroline Hoxby, 2000. "Peer Effects in the Classroom: Learning from Gender and Race Variation," NBER Working Papers 7867, National Bureau of Economic Research, Inc.
    11. David J. Deming & Claudia Goldin & Lawrence F. Katz, 2012. "The For-Profit Postsecondary School Sector: Nimble Critters or Agile Predators?," Journal of Economic Perspectives, American Economic Association, vol. 26(1), pages 139-164, Winter.
    12. Julian R. Betts & Darlene Morell, 1999. "The Determinants of Undergraduate Grade Point Average: The Relative Importance of Family Background, High School Resources, and Peer Group Effects," Journal of Human Resources, University of Wisconsin Press, vol. 34(2), pages 268-293.
    13. repec:bla:econom:v:70:y:2003:i:277:p:31-53 is not listed on IDEAS
    14. Robin Boadway & Nicolas Marceau & Maurice Marchand, 1996. "Issues in decentralizing the provision of education," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 3(3), pages 311-327, July.
    15. De Fraja, Gianni & Valbonesi, Paola, 2012. "The design of the university system," Journal of Public Economics, Elsevier, vol. 96(3), pages 317-330.
    16. Roland Bénabou, 1996. "Equity and Efficiency in Human Capital Investment: The Local Connection," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(2), pages 237-264.
    17. Elizabeth M. Caucutt, 2002. "Educational Vouchers When There Are Peer Group Effects--Size Matters," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(1), pages 195-222, February.
    18. Dominic J. Brewer & Eric R. Eide & Ronald G. Ehrenberg, 1999. "Does It Pay to Attend an Elite Private College? Cross-Cohort Evidence on the Effects of College Type on Earnings," Journal of Human Resources, University of Wisconsin Press, vol. 34(1), pages 104-123.
    19. Edward P. Lazear, 2001. "Educational Production," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(3), pages 777-803.
    20. Dario Maldonado, 2008. "A model of school behavior: tuition fees and grading standards," Documentos de Trabajo 5106, Universidad del Rosario.
    21. Alejandro Gaviria & Steven Raphael, 2001. "School-Based Peer Effects And Juvenile Behavior," The Review of Economics and Statistics, MIT Press, vol. 83(2), pages 257-268, May.
    22. William N. Evans & Robert M. Schwab, 1995. "Finishing High School and Starting College: Do Catholic Schools Make a Difference?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(4), pages 941-974.
    23. Foster, Gigi, 2006. "It's not your peers, and it's not your friends: Some progress toward understanding the educational peer effect mechanism," Journal of Public Economics, Elsevier, vol. 90(8-9), pages 1455-1475, September.
    24. Summers, Anita A & Wolfe, Barbara L, 1977. "Do Schools Make a Difference?," American Economic Review, American Economic Association, vol. 67(4), pages 639-652, September.
    25. Patrick McEwan, 2001. "The Effectiveness of Public, Catholic, and Non-Religious Private Schools in Chile's Voucher System," Education Economics, Taylor & Francis Journals, vol. 9(2), pages 103-128.
    26. de Bartolome, Charles A M, 1990. "Equilibrium and Inefficiency in a Community Model with Peer Group Effects," Journal of Political Economy, University of Chicago Press, vol. 98(1), pages 110-133, February.
    27. Epple, Dennis & Romano, Richard E, 1998. "Competition between Private and Public Schools, Vouchers, and Peer-Group Effects," American Economic Review, American Economic Association, vol. 88(1), pages 33-62, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Manna, Ester, 2013. "Mixed Duopoly with Motivated Teachers," MPRA Paper 52041, University Library of Munich, Germany.
    2. Benassi, Corrado & Castellani, Massimiliano & Mussoni, Maurizio, 2016. "Price equilibrium and willingness to pay in a vertically differentiated mixed duopoly," Journal of Economic Behavior & Organization, Elsevier, vol. 125(C), pages 86-96.
    3. Francisco Martínez-Sánchez, 2022. "Privatization Policies by National and Regional Governments," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 24(02), pages 1-23, June.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Epple, Dennis & Figlio, David & Romano, Richard, 2004. "Competition between private and public schools: testing stratification and pricing predictions," Journal of Public Economics, Elsevier, vol. 88(7-8), pages 1215-1245, July.
    2. Kang, Changhui, 2007. "Classroom peer effects and academic achievement: Quasi-randomization evidence from South Korea," Journal of Urban Economics, Elsevier, vol. 61(3), pages 458-495, May.
    3. Jorge Calero & Josep-Oriol Escardíbul, 2007. "Evaluación de servicios educativos: el rendimiento en los centros públicos y privados medido en PISA-2003," Hacienda Pública Española / Review of Public Economics, IEF, vol. 183(4), pages 33-66, december.
    4. Maria De Paola & Vincenzo Scoppa, 2010. "Peer group effects on the academic performance of Italian students," Applied Economics, Taylor & Francis Journals, vol. 42(17), pages 2203-2215.
    5. Dennis N. Epple & Richard Romano, 2003. "Neighborhood Schools, Choice, and the Distribution of Educational Benefits," NBER Chapters, in: The Economics of School Choice, pages 227-286, National Bureau of Economic Research, Inc.
    6. Fertig, Michael, 2003. "Educational Production, Endogenous Peer Group Formation and Class Composition - Evidence From the PISA 2000 Study," RWI Discussion Papers 2, RWI - Leibniz-Institut für Wirtschaftsforschung.
    7. Vincent Boucher & Yann Bramoullé & Habiba Djebbari & Bernard Fortin, 2014. "Do Peers Affect Student Achievement? Evidence From Canada Using Group Size Variation," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 29(1), pages 91-109, January.
    8. Akyol, Metin, 2016. "Do educational vouchers reduce inequality and inefficiency in education?," Economics of Education Review, Elsevier, vol. 55(C), pages 149-167.
    9. Xu Lin, 2010. "Identifying Peer Effects in Student Academic Achievement by Spatial Autoregressive Models with Group Unobservables," Journal of Labor Economics, University of Chicago Press, vol. 28(4), pages 825-860, October.
    10. McEwan, Patrick J., 2003. "Peer effects on student achievement: evidence from Chile," Economics of Education Review, Elsevier, vol. 22(2), pages 131-141, April.
    11. Silvia Mendolia & Alfredo R Paloyo & Ian Walker, 2018. "Heterogeneous effects of high school peers on educational outcomes," Oxford Economic Papers, Oxford University Press, vol. 70(3), pages 613-634.
    12. David N. Figlio, 2007. "Boys Named Sue: Disruptive Children and Their Peers," Education Finance and Policy, MIT Press, vol. 2(4), pages 376-394, September.
    13. Gordon Winston & David Zimmerman, 2004. "Peer Effects in Higher Education," NBER Chapters, in: College Choices: The Economics of Where to Go, When to Go, and How to Pay For It, pages 395-424, National Bureau of Economic Research, Inc.
    14. Gary-Bobo, Robert J. & Trannoy, Alain, 2005. "Efficient Tuition & Fees, Examinations and Subsidies," CEPR Discussion Papers 5011, C.E.P.R. Discussion Papers.
    15. Stephen Gibbons & Shqiponja Telhaj, 2016. "Peer Effects: Evidence from Secondary School Transition in England," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 78(4), pages 548-575, August.
    16. Heather Antecol & Ozkan Eren & Serkan Ozbeklik, 2016. "Peer Effects in Disadvantaged Primary Schools: Evidence from a Randomized Experiment," Journal of Human Resources, University of Wisconsin Press, vol. 51(1), pages 95-132.
    17. Cai, Xiqian & Fan, Qingliang & Yuan, Congying, 2022. "The impact of only child peers on students’ cognitive and non-cognitive outcomes," Labour Economics, Elsevier, vol. 78(C).
    18. Godlonton, Susan & Thornton, Rebecca, 2012. "Peer effects in learning HIV results," Journal of Development Economics, Elsevier, vol. 97(1), pages 118-129.
    19. Andrew J. Hussey & Debjani Kanjilal & Albert A. Okunade, 2013. "Effects of Peers and Social Environment on Adolescent Psychological Well-Being," International Journal of Business and Social Research, MIR Center for Socio-Economic Research, vol. 3(2), pages 69-83, February.
    20. By Vincenzo Carrieri & Marcello D’Amato & Roberto Zotti, 2015. "On the causal effects of selective admission policies on students’ performances: evidence from a quasi-experiment in a large Italian university," Oxford Economic Papers, Oxford University Press, vol. 67(4), pages 1034-1056.

    More about this item

    Keywords

    education; peer-group effects; mixed duopoly;
    All these keywords.

    JEL classification:

    • I20 - Health, Education, and Welfare - - Education - - - General
    • L33 - Industrial Organization - - Nonprofit Organizations and Public Enterprise - - - Comparison of Public and Private Enterprise and Nonprofit Institutions; Privatization; Contracting Out

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ces:ceswps:_4163. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Klaus Wohlrabe (email available below). General contact details of provider: https://edirc.repec.org/data/cesifde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.