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American Economic Association
Open Access and Academic Journal Quality
Author(s): Mark J. McCabe and Christopher M. Snyder
Source:
The American Economic Review,
Vol. 95, No. 2, Papers and Proceedings of the One
Hundred Seventeenth Annual Meeting of the American Economic Association, Philadelphia,
PA, January 7-9, 2005 (May, 2005), pp. 453-458
Published by:
American Economic Association
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http://www.jstor.org/stable/4132864
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Open Access and Academic JournalQuality
By MARK J. MCCABE AND CHRISTOPHER M. SNYDER*
Scholars and librarianshave grown increas-
ingly dissatisfied with the marketfor academic
journals. New technologies might be expected
to lower journals' production and distribution
costs, and for these reduced costs to factor into
reduced prices; but library subscription prices
remain high (Theodore Bergstrom, 2001) and
indeed have continued to rise faster than infla-
tion (McCabe, 2002). This dissatisfaction has
led to the proposal of a new business model for
academicjournals, open access. In contrastto a
traditionaljournal, which generates most of its
revenue with subscriptionfees, an open-access
journal makes its articles freely available on the
Internet, generating revenue with author fees.
As of October 2004, the Directory of Open
Access Journals (www.doaj.org) listed over
1,300 open-access journals across academic
fields. Perhapsthe most famous of these are the
biomedical journals published by the Public
Library of Science, founded by Nobel-prize-
winning biologist Harold Varmus to compete
against the top-tier journals in the field. These
journals charge substantialauthor fees, $1,500
per accepted paper.'
The fee structureof journals has important
consequences for social welfare. Subscription
prices have risen to the point that librarieshave
begun to cancel significant titles, potentially
harming scholars in their roles both as readers
and authors.Research-fundinginstitutions such
as the U.S. National Institutesof Health and the
Wellcome Trust have considered policies rang-
* McCabe: Departmentof Economics, Georgia Institute
of Technology, 781 Marietta Street, N.W., Atlanta, GA
30318; Snyder: Departmentof Economics, DartmouthCol-
lege, Hanover, NH 03755. The authors are grateful for
helpful comments from seminar participantsat Dartmouth,
George Washington,Michigan State, and Tulane, and to the
Open Society Institute and the NET Institutefor funding.
1 In
economics, the adoption of open access has been
relatively slow, with only nine refereed open-access jour-
nals listed on the Directory of Open Access Journals.None
of these charges author fees, operating on donated institu-
tional support.
453
ing from increasingthe amountthat is budgeted
in grantsfor authorfees to requiringthat funded
authorspublish in open-access journals.
Much of the previous theoretical work on
academicjournals (see e.g., Doh-Shin Jeon and
Domenico Menicucci, 2003; McCabe, 2004)
cannot be used to study open access because it
only considers one side of the market, library
subscriptions, and does not endogenize author
fees on the other side of the market.In an earlier
paper (McCabe and Snyder, 2004a), we con-
structed a two-sided-market model with bilat-
eral externalities (readers obtain benefits from
reading, and authorsobtain benefits from being
read). We showed that a commercial journal is
more likely to adopt open access the lower its
market power, the lower its marginal cost of
serving readers, and the greaterare authorben-
efits relative to reader benefits. The last result
holds because, if authors have relatively high
benefits per reader,the journal will try to recruit
more readers by lowering subscription fees,
thus increasingthe revenue thatcan be extracted
from authors. We proved a series of "anything
is possible" results, providing cases in which
even a monopoly journal would adopt open
access in equilibrium and other examples in
which open access is not socially efficient even
if the marginal cost of serving readers were
zero.
In the present paper, we extend our previous
model to allow articles and journals to vary in
quality. Good articles provide a reader benefit;
bad articles do not. Readers cannot tell the
quality of articles prior to reading them, and
reading an article requires an effort cost. Jour-
nals' quality differences emerge endogenously
through the talent of their editors, where more
talented editors can distinguish between good
and bad articles with more precision. High-
qualityjournals thus publish more good articles.
This extension is useful because it allows for a
more realistic depiction of journals. It also al-
lows us to answer new questions of policy
relevance about open access. First, should we
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454
AEA PAPERSAND PROCEEDINGS
MAY2005
expect to see open access being more likely to
emerge at the high-qualityor low-quality end of
the journal spectrum?HaroldVarmussuggested
that open access should emerge at the high end:
"The most importantthing is that we, as pub-
lishers of open access journals, want our jour-
nals to be high quality. It is the only way we are
going to succeed" (House of Commons, 2004 p.
80). The House of Commons Science and Tech-
nology Committeeconcluded otherwise:"There
is a risk that some partsof the marketwould be
able to producejournalsquickly, at high volume
and with reduced quality control and still suc-
ceed in terms of profit, if not reputation.Such
journals would cater for those academics for
whom reputationand impact were less impor-
tant factors than publication itself' (House of
Commons, 2004 p. 80). Second, should we ex-
pect open-access journals to lower their quality
standardsin orderto boost revenue from author
fees? Such is the attack often leveled against
open access by commercial publishers, for
example the CEO of Elsevier: "If you are re-
ceiving potential payment for every article
submittedthere is an inherentconflict of interest
that could threatenthe qualityof the peer review
system" (House of Commons, 2004 p. 81).
I. Model
There are three sorts of agents in the model: a
unit mass of authors, unitmass of readers, a
a
and
single commercial(i.e., profit-maximizing)
jour-
nal. Authors submit articles of varying quality
to the journal. The journal (more precisely, the
journal'seditor;the two labels will be used inter-
changeablyhere)judges the qualityof the submit-
ted articlesand acceptsa subset.Acceptedarticles
are bundledtogetherin an issue and distributed
to
readers.
Each authoris endowed with a single article.
Authors obtain a benefit
ba ?
0 per reader,
derived in part from the fact that having more
readers increases the article's impact and
chances of being cited and thus improves the
author's career prospects. The analysis is con-
siderably simplified without much loss of in-
sight with the assumptionthat all authors have
the same benefit
ba.
Articles are of random
quality. A fraction y E [0, 1] of them are
"good" and 1 - y are "bad." Readers only
obtain a benefit from reading good articles.
Since there will be a cost per article of reading,
readers will prefer journals that have a high
percentage of good articles. To simplify the
model, assume authorsdo not know their own
article's quality prior to submission.2
The editor can only imperfectly determinean
article's quality, dependingon his talent,t E [0,
1]. The editor can perfectly identify good arti-
cles as being good. With probabilityt, he cor-
rectly identifies a bad article as being bad. With
probability 1 - t, he mistakenly judges a bad
article to be good. Assume that t is public
information.
Readers obtain no benefit from reading bad
articles. Reader k obtains benefit
brk
2
0 per
good article read. Assume
brk
is a randomvari-
able with cumulative distribution function F
and densityf. Reading an article requireseffort,
which costs the readerp 0. Hence the reader
-
wishes to avoid readingbad articles,which pro-
vide no benefit but are costly to read.The reader
cannot determine the quality of an articleprior
to reading it.
Let
cs
- 0 be the journal's cost of handlinga
submitted article up through and including the
process of judging its quality, reflectingthe cost
of referees' and editor's time and any adminis-
trativecosts of processing the author'saccount.
Let ca - 0 be the cost of processing an accepted
article, reflecting copyediting, typesetting, and
administrativeexpenses. The cost of distribut-
ing the articles to a single reader includes a
fixed cost
cr
0 for the bundle of articlesin the
-
journal (reflectingthe cost of servicing the read-
er's account and any fixed shipping and han-
dling costs) plus a variable cost c per article
(reflecting remaining variable shipping costs,
including the cost of bandwidth in the case of
Internetdistribution).
The journal charges submission fee ps and,
conditional on acceptance, accepted-paperfee
This assumption is consistent with a numberof other
recent papers involving quality certificationby an interme-
diary (Josh Lerner and Jean Tirole, 2004; Alan Morrison
and Lucy White, 2004). It serves to simplify the analysisby
abstracting from complicated signaling behavior by in-
formed authors. Lerner and Tirole show that adding up-
streamprivateinformationdoes not altertheirbasic analysis
(their Proposition 4).
2
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VOL.95 NO. 2
Pa.
COMPETITION
POLICYFOR JOURNALS
455
The journal charges subscription fee
Pr
to
readersfor the bundle of articles in the journal.
We will constrain prices
ps, Pa,
and
Pr
to be
nonnegative.3 Assume that an article's quality
cannot be verified ex post, so in particular,the
journal's pricing scheme cannot be conditioned
on realized quality (althoughin equilibriumfees
will depend on editorial talent).
The timingof the model is as follows. First,the
journalchooses prices. Then authorsand readers
simultaneouslymake their submission and sub-
scription decisions. Finally, the journal decides
which articlesto acceptor reject.We will look for
a subgame-perfect,
rational-expectations
equilib-
riumin which outcomeson any subgameinvolv-
ing the infinitesimal players (authors and/or
is
(RobertAu-
readers) a strongNash equilibrium
mann,
1959).4
JournalsAdopt Open
II. Will High-Quality
Access?
Taking the case of a monopoly commercial
journal,we will performthe comparative-statics
exercise of examining the effect of a change in
the editor's talent t on the equilibriumsubscrip-
tion price with the goal of determiningwhether
a high- or low-quality journal would be more
likely to adopt open access.
In this section, we will maintainthe assump-
tion that the editor can commit to a policy of
only accepting articles believed to be good.
Under this editorial policy, the probability of
acceptance,denoted a, is a = y + (1 - y)(1 -
t). Journalprofit is
(1)
psna +
pana
nr)
+ prnr - TC(na, nr)
(2)
TC(na, nr)
=
nacs
+
anaca + nrCr
+
ananrC.
Aggregate author demand is inelastic be-
cause authors are homogeneous. The number
of submissions is positive, equal to the unit
mass of authors, if and only if net author
surplus,
(3)
a(nrba - Pa) - Ps
is nonnegative. Reader k's expected net surplus
from subscribing to the journal is
(4)
ynabrk
-
anap - Pr,
Reader k will subscribeto the journal if expres-
sion (4) is nonnegative, implying that aggregate
reader demand is
(5)
nr = 1 - Fp
+
naP
)
yna
Conditionalon the level of the total expected
payment from an authorto the journalp, +
acpa,
the particulardivision into subscription fee p,
and acceptance fee
Pa
is irrelevant. (This divi-
sion will become relevant in the next section.)
Without loss of generality, we will set the equi-
librium submission fee, p,* to 0. Then the equi-
librium acceptance fee will be the highest value
subject to author demand being positive. From
equation (3), the equilibriumacceptancefee and
author demand satisfy p* =
n*ba
and
=
1.
na
The equilibrium subscription fee maximizes
journalprofit,which upon substituting =
nrba
Pa
and
na
= 1, as well as equations (2) and (5) into
(1), becomes
(6)
II(pr) = (aba + Pr -
Cr
- ac)
where
TC(na,
is the total cost function,
X
subsidize authors and readers, in that
be set below marginal cost, but journals are
prices may
assumed not to make explicit cash transfers to authors or
readers. The restriction of cash transfers appears to be
nearly universal among scholarlyjournals.
4 A strong Nash equilibriumrequires the outcome to be
immune to profitable deviations by any coalition of the
infinitesimal players. See the more detailed theoretical pa-
per on which this article is based, McCabe and Snyder
(2004b), for a discussion of the role of this refinement.
3
Journals may
1
F(PrY)
-
-
-cs
aca-
Applying the implicit function rule to equa-
tion (6) yields the following proposition.
PROPOSITION
1. Assume
ba
> p + c. Assume
the second-order condition from maximization
of profit in equation (6) holds. The equilibrium
subscription fee p* charged by a commercial
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456
AEA PAPERSAND PROCEEDINGS
MAY2005
journal is weakly increasing in journal quality/
editorial talent, t.
Proposition 1 states that, under the specified
conditions,5the subscriptionfee is increasing in
editorial talent, implying that if a high-quality
journal adopts open access in equilibrium, a
lower-qualityjournal would as well. Hence, un-
der the conditions of the proposition, a low-
quality journal would be more likely to adopt
open access.6 The intuition for the result is that
as journal quality (equivalently,editorial talent)
increases, authorssuffer a direct loss and read-
ers enjoy a direct benefit. The direct loss to an
authoris that his article is published with lower
probabilitysince his articlemay be bad, and bad
papers are more likely to be rejected.The direct
benefit to a readeris that his cost of reading the
journal falls because the journal contains fewer
bad articles. The journal optimally responds to
the relative changes in surpluses by reducing
authorfees and increasing readerfees.
Some caveats regardingProposition 1 are in
order. The result can be reversed (thus, high-
quality journals can be more likely to adopt
open access) if the conditions underlying the
as
propositiondo not hold. Furthermore, shown
in McCabe and Snyder (2004b), the results for
nonprofit journals are less clear-cut. As dis-
cussed in the Introduction,many other supply
and demand parametersenter into the decision
to adopt open access besides journal quality.
JournalsCheaton
III. Will Open-Access
Quality?
As noted in the Introduction,critics of open
access suggest that open access may lead to a
corruptionof the editorial process. Because an
open-access journal obtains its revenue from
authors rather than readers, it may have to
charge high authorfees to be viable. Once high
authorfees are in place, the journalmay have an
incentive to publish many articles to boost rev-
enue, lowering editorial standardsif need be.
To address this issue of possible "overpub-
lishing" by open-accessjournals,we will exam-
ine a model in which the journal cannotcommit
to abide by the editorial standardof accepting
only those articles believed to be good. Rather,
the journal makes its editorial decision after
pricing, submission, and subscriptiondecisions
have been sunk. A commercial journal would
then make the acceptance/rejection decision
solely to maximize ex post profit. To make the
commitment problem as stark as possible, we
maintain a static model, abstractingfrom any
long-runconcerns for reputationthatmight mit-
igate the commitment problem.
The next propositionstates that, even in this
stark model, the commitment problem has no
bite: the journal can obtain the same profitif it
is not able to commit to an editorialpolicy as it
could if it were able to commit.
PROPOSITION 2. Let p*, p*, and p* be the
price scheme for a journal that can commit to
an editorial policy of only accepting articles
believed to be good, where without loss of gen-
erality, p* = 0. Let n* be the equilibriumnum-
ber of readers [i.e.,
n*
= 1 - F([p* + ap]/y)].
*
Pa
, and
p*r
be the optimalprices
LettingPs
in the no-commitmentcase, a journal that can-
not commit to an editorial policy can obtain the
same profit as the journal that can commit by
= n*c +
setting p** =
a[nr(ba
-
c)
-
ca],
pa**
Ca,
and pr* = Pr
As opposed to the case in the previoussection
in which the journal could commit to an edito-
rial policy (a case in which there were a whole
range of combinationsof submissionand accep-
tance fees thatcould provide an optimumfor the
journal), when the journal cannot commit to an
5 A few remarksaboutthe conditions behind Proposition
1 are in order. The condition
ba
> p + c implies that an
author's benefit from having his article read exceeds the
generalized marginalcost of reading it, including the mar-
ginal cost of shipping the article to a reader, c, and the
reader's marginaleffort cost p. The second-ordercondition
associated with the objective function (6) holds if the slope
off is not too negative at an optimum. The condition holds
for variousdistributionsincluding the uniform.See McCabe
and Snyder (2004b) for details.
6
There exist examples in which a profit-maximizing
journal adopts open access if it has a low t but does not if it
has a high t. In particular,it can be shown that, assuming F
is the uniformdistributionon [0, 1], the journal adopts open
access if and only if
t
p + ba - c,
-
(
+ pc)(
c -
y) "
(ba
+ p - c)(1 -
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