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The price of admission: Who gets into private school, and how much do they pay?

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  • Walton, Nina

Abstract

I analyze how elementary and secondary private schools decide which students to admit from their applicant pool using mechanism design theory. The problem for an individual private school of who to admit and how much to charge in tuition, is complicated by the existence of peer-effects: the value students place on attending school is increasing with the average ability of the entire class at that school. This feature, coupled with the fact that students can always attend public school for free, places constraints on the types of classes the private school can admit. In my model, students have an ability type that is known to the school through testing, as well as a wealth type that is private information. Students report their wealth to the school and on the basis of the results from the ability test and wealth reports, the school institutes an allocation rule and a payment rule. Allocation rules which only admit all high ability students and no others, or all high wealth students and no others are not feasible. I utilize a simple example to show how in a revenue-maximizing allocation, the private school always under-admits the highest ability students relative to the allocation rule that maximizes social welfare.

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  • Walton, Nina, 2010. "The price of admission: Who gets into private school, and how much do they pay?," Economics of Education Review, Elsevier, vol. 29(5), pages 738-750, October.
    • Handle: RePEc:eee:ecoedu:v:29:y:2010:i:5:p:738-750
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    1. Jacob M. Markman & Eric A. Hanushek & John F. Kain & Steven G. Rivkin, 2003. "Does peer ability affect student achievement?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(5), pages 527-544.
    2. 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.
    3. Mary A. Burke & Tim R. Sass, 2013. "Classroom Peer Effects and Student Achievement," Journal of Labor Economics, University of Chicago Press, vol. 31(1), pages 51-82.
    4. Jehiel, Philippe & Moldovanu, Benny & Stacchetti, Ennio, 1996. "How (Not) to Sell Nuclear Weapons," American Economic Review, American Economic Association, vol. 86(4), pages 814-829, September.
    5. Henderson, Vernon & Mieszkowski, Peter & Sauvageau, Yvon, 1978. "Peer group effects and educational production functions," Journal of Public Economics, Elsevier, vol. 10(1), pages 97-106, August.
    6. Card, David & Krueger, Alan B, 1992. "Does School Quality Matter? Returns to Education and the Characteristics of Public Schools in the United States," Journal of Political Economy, University of Chicago Press, vol. 100(1), pages 1-40, February.
    7. Michael Kremer & Dan Levy, 2008. "Peer Effects and Alcohol Use among College Students," Journal of Economic Perspectives, American Economic Association, vol. 22(3), pages 189-206, Summer.
    8. Goethals, G. & Winston, G. & Zimmerman, D., 1999. "Students Educating Students: The Emerging Role of Peer Effects in Higher Education," Williams Project on the Economics of Higher Education DP-50, Department of Economics, Williams College.
    9. David Card & Alan B. Krueger, 1996. "School Resources and Student Outcomes: An Overview of the Literature and New Evidence from North and South Carolina," Journal of Economic Perspectives, American Economic Association, vol. 10(4), pages 31-50, Fall.
    10. Armin Falk & Andrea Ichino, 2006. "Clean Evidence on Peer Effects," Journal of Labor Economics, University of Chicago Press, vol. 24(1), pages 39-58, January.
    11. 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.
    12. Thomas J. Nechyba, 2000. "Mobility, Targeting, and Private-School Vouchers," American Economic Review, American Economic Association, vol. 90(1), pages 130-146, March.
    13. Lefgren, Lars, 2004. "Educational peer effects and the Chicago public schools," Journal of Urban Economics, Elsevier, vol. 56(2), pages 169-191, September.
    14. Card, David & Payne, A. Abigail, 2002. "School finance reform, the distribution of school spending, and the distribution of student test scores," Journal of Public Economics, Elsevier, vol. 83(1), pages 49-82, January.
    15. 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.
    16. Marlow, Michael L., 1999. "Spending, school structure, and public education quality. Evidence from California," Economics of Education Review, Elsevier, vol. 19(1), pages 89-106, February.
    17. Hakkinen, Iida & Kirjavainen, Tanja & Uusitalo, Roope, 2003. "School resources and student achievement revisited: new evidence from panel data," Economics of Education Review, Elsevier, vol. 22(3), pages 329-335, June.
    18. Townsend, Robert M, 1982. "Optimal Multiperiod Contracts and the Gain from Enduring Relationships under Private Information," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1166-1186, December.
    19. Dills, Angela K., 2005. "Does cream-skimming curdle the milk? A study of peer effects," Economics of Education Review, Elsevier, vol. 24(1), pages 19-28, February.
    20. Townsend, Robert M., 1979. "Optimal contracts and competitive markets with costly state verification," Journal of Economic Theory, Elsevier, vol. 21(2), pages 265-293, October.
    21. 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.
    22. Douglas Gale & Martin Hellwig, 1985. "Incentive-Compatible Debt Contracts: The One-Period Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(4), pages 647-663.
    23. repec:fth:prinin:366 is not listed on IDEAS
    24. repec:mpr:mprres:4324 is not listed on IDEAS
    25. Holger Sieg & Dennis Epple & Richard Romano, 2003. "Peer effects, financial aid and selection of students into colleges and universities: an empirical analysis," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(5), pages 501-525.
    26. Rothschild, Michael & White, Lawrence J, 1995. "The Analytics of the Pricing of Higher Education and Other Services in Which the Customers Are Inputs," Journal of Political Economy, University of Chicago Press, vol. 103(3), pages 573-586, June.
    27. David Card & Alan Krueger, 1996. "School Resources and Student Outcomes: An Overview of the Literature and New Evidence from North and South Carolina," Working Papers 745, Princeton University, Department of Economics, Industrial Relations Section..
    28. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721.
    29. 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.
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    2. Jurajda, Stepán & Münich, Daniel, 2010. "Admission to selective schools, alphabetically," Economics of Education Review, Elsevier, vol. 29(6), pages 1100-1109, December.

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