The determination of public tuition fees in a mixed education system: A majority voting model

DOIhttp://doi.org/10.1111/jpet.12317
Date01 December 2019
Published date01 December 2019
AuthorDidier Laussel,Hejer Lasram
Received: 23 January 2017 Revised: 27 April 2018 Accepted: 27 April 2018
DOI: 10.1111/jpet.12317
ARTICLE
The determination of public tuition fees in a mixed
education system: A majority voting model
Hejer Lasram1Didier Laussel2,3,4,5, 6
1CBS-TunisCarthageUniversity and UR MASE-
ESSAI,Carthage University, Tunis, Tunisia
2Aix-MarseilleUniversity. CNRS, EHESS, Cen-
traleMarseille, AMSE, France
3CNRS,Paris, France
4EHESS,Paris, France
5CentraleMarseille, Marseille, France
6AMSE,Berlin, Germany
Correspondence
HejerLasram, CBS-TunisCarthage University
andUnité MASE-ESSAI, Carthage University,
AvenueFattouma Bourguiba, 2036 La Soukra,
Tunis,Tunisie.
Email:hejer.lasram@gmail.com
DidierLaussel, Aix-Marseille University, CNRS,
EHESS,Centrale Marseille, AMSE.
Email:didier.laussel@outlook.fr
We study the determination of public tuition fees through major-
ity voting in a vertical differentiation model where agents'returns
on educational investment differ and public and private universities
coexist and compete in tuition fees. The private university offers
higher educational quality than its competitor, incurring higher unit
cost per trained student. The tuition fee for the state university is
fixed bymajority voting while that for the private follows from profit
maximization. Then agents choose to train at the public universityor
the private one or to remain uneducated. The tax per head adjusts in
order to balance the state budget. Because there is a private alterna-
tive, preferences for education are not single-peaked and no single-
crossing condition holds. An equilibrium is shown to exist, which
is one of three types: high tuition fee (the “ends” are a majority),
low tuition fee (the “middle” is a majority), or mixed (votes tie). The
cost structure determines which equilibrium obtains. The equilib-
rium tuition is either greater (majority at the ends) or smaller (major-
ity at the middle) than the optimal one.
1INTRODUCTION
The determination of public universities'tuition fees has recently attracted a lot of attention following the dramatic
increases observed in some countries. In England, tuition fees were first introduced in September 1998 under the
(New) Labour Government, with students being required to pay up to £1,000 a year for tuition, and subsequently
raised to a maximum of £3,000 in 2004, then to £9,000 a year in 2012, and finally to £9,250 in 2017.1The suppres-
sion of tuition fees was a key proposal of Jeremy Corbyn's Labour party during the recent British general elections.
In Canada, Shaker and Macdonald (2015) noticed that“tuition fees for Canadian undergraduate students havetripled
between 1993–1994 and 2015–2016”,2withan average increase of 40% in the last decade. In 2002 already, Martin
recorded in the U.S. case an increase in tuition costs3between 1995 and 2002, much faster than inflation or family
income. The same observation was more recently made on the period 2003–2013 by Desrochers and Hulburt (2016)
for U.S. colleges, building on data from The College Board, Annual Survey of Colleges (NCES, IPEDS data): tuition fees
1Notethat the income-contingent loan scheme was extended at the same time tuition fees were dramatically increased.
2Whenadjusted for inflation the increase is 100%. The increases ranged from 35% in Newfoundland to 243% in Ontario.
3Forpublic and private universities.
Journal of Public Economic Theory.2018;1–18. wileyonlinelibrary.com/journal/jpet c
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ORIGINAL ARTICLE
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1056 © 2018 Wiley Periodicals, Inc. wileyonlinelibrary.com/journal/jpet J Public Econ Theory. 2019;21:1056–1073.
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2LASRAM ANDLAUSSEL
FIGURE 1 Tuitionfees/educational expenditures per student
in 2016 dollars increased from $2,600 in 1976–1977 to $9,650 in 2016–2017 for U.S.public colleges (a 271% increase)
while the increase for private nonprofit colleges was from $10,680 to $33,480 for the same academic years.4
Besides these striking evolutions, the wide cross-country differences in tuition fees currently recorded are also in
searchof an explanation. Marcucci and Johnstone (2007) reported (Table1, page 29) medium public tuition fees for first
degrees rangingfrom zero (Hungary, 2001) to $9,000 (United States, 2004/2005).5This heterogeneity is confirmed by
a recent 2016 article in Times Higher Education6reporting average tuition fees (including administration fees) lower
than £1,000 in Germany,Norway, Sweden, Finland, Austria, and Belgium but greater than £9,000 in the United States
(£31,296), England, Canada, Australia, and New Zealand.
Martin (2002) attributed the observed increase in tuition fees to “the increasing time given to professors for schol-
arship and other activities,” that is, to “increases in noninstructional staff.”For the U.S. case, however, Desrochers and
Hulburt (2016) reported averageexpenditures per student in 2011 dollars roughly stable at public institutions and pri-
vate bachelor ones over the decade 2001–2011 (see online Supporting Information Figure S2) and increasing by only
7% at private master institutions, while at the same time tuition fees in constant dollars increased by 72% at public
master institutions and 25% at private ones. It is not very likely that such modest increases in the cost of trainingmay
have led by themselves to dramatic increases in tuition fees. Cost differentials may also hardly account for the large
observed differences in tuition fees across developed countries, which largely exceedpossible differences in costs for
similar countries. As an illustration, we have plotted for 14 OECD countries the tuition fees against the 2012 public
and private higher education expenditures per student (Figure 1).7
Even more blatantly,we are aware of at least two examples of huge differences between very close “countries.” The
first is between England, where, as already reported, the tuition fees have been increased recently to £9,250, Wales
where students pay only £3,900, and Scotland where theypay nothing. In Scotland, tuition fees were even abolished in
2007, following the devolutionto the Scottish government, when England was already engaged in steeply raising them.
The second example we know of wide differences in averagetuition fees is between the different Canadian provinces:
4Source: College Board, https://trends.collegeboard.org/college-pricing/figures-tables/tuition-and-fees-and-room-and-board-over-time-1976-77_2016
-17-selected-years
5They distinguished between countries without public tuition fees (such as Brazil, Denmark, Germany,Norway, Sweden, among others), countries with up-
front tuition fees (including Belgium, Canada, Chile, Italy,Portugal, United States), and countries with deferred tuition fees (Australia, England, Wales, and
others).
6www.timeshighereducation.com/student/news/cheapest-places-study-top-university
7FromOCED Digest of Education Statistics 2015, Table 605.10, page 873. The expendituresare in current dollars. The tuition fees are in current pounds.The
coefficientof determination R2=0.0562.
LASRAM ANDLAUSSEL 3
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