College admissions with entrance exams: Centralized versus decentralized

We theoretically and experimentally study a college admissions problem in which colleges accept students by ranking students' efforts in entrance exams. Students hold private information regarding their ability level that affects the cost of their efforts. We assume that student preferences are homogeneous over colleges. By modeling college admissions as contests, we solve and compare the equilibria of "centralized college admissions" (CCA) in which students apply to all colleges, and "decentralized college admissions" (DCA) in which students can only apply to one college. We show that lower ability students prefer DCA whereas higher ability students prefer CCA. The main qualitative predictions of the theory are supported by the experimental data, yet we find a number of behavioral differences between the mechanisms that render DCA less attractive than CCA compared to the equilibrium benchmark.

[1]  M. Adena Tax-price elasticity of charitable donations – evidence from the German taxpayer panel , 2021, The Routledge Handbook of Taxation and Philanthropy.

[2]  G. Virág Competing auctions: finite markets and convergence , 2010 .

[3]  Yeon-Koo Che,et al.  Decentralized College Admissions , 2016, Journal of Political Economy.

[4]  Milan Vojnovic,et al.  Crowdsourcing and all-pay auctions , 2009, EC '09.

[5]  J. Morgan,et al.  On the Merits of Meritocracy , 2012 .

[6]  Brent R. Hickman EFFORT, RACE GAPS, AND AFFIRMATIVE ACTION: A GAME-THEORETIC ANALYSIS OF COLLEGE ADMISSIONS , 2009 .

[7]  W. Olszewski,et al.  Large Contests , 2012 .

[8]  E. Green Continuum and Finite-Player Noncooperative Models of Competition , 1984 .

[9]  M. Utku Ünver,et al.  Matching, Allocation, and Exchange of Discrete Resources , 2009 .

[10]  M. Balinski,et al.  A Tale of Two Mechanisms: Student Placement , 1999 .

[11]  A. Roth,et al.  College Admissions as Non-Price Competition: The Case of South Korea , 2014 .

[12]  Yan Chen,et al.  Chinese college admissions and school choice reforms: An experimental study , 2019, Games Econ. Behav..

[13]  Yan Chen,et al.  From Boston to Chinese parallel to deferred acceptance: theory and experiments on a family of school choice mechanisms , 2013 .

[14]  Michael R. Baye,et al.  The all-pay auction with complete information , 1990 .

[15]  Aaron L. Bodoh-Creed,et al.  College Assignment as a Large Contest , 2015, J. Econ. Theory.

[16]  C. Meghir,et al.  Microfinance at the Margin: Experimental Evidence from Bosnia and Herzegovina , 2012 .

[17]  J. Rochet,et al.  COMPETING MECHANISMS IN A COMMON VALUE ENVIRONMENT , 2000 .

[18]  Azar Abizada,et al.  The college admission problem with entrance criterion , 2011 .

[19]  Lones Smith,et al.  Student Portfolios and the College Admissions Problem , 2013 .

[20]  Roman M. Sheremeta,et al.  A survey of experimental research on contests, all-pay auctions and tournaments , 2012, Experimental Economics.

[21]  Dan Kovenock,et al.  The Lifeboat Problem , 2009 .

[22]  Uriel G. Rothblum,et al.  A stable matching model with an entrance criterion applied to the assignment of students to dormitories at the technion , 2008, Int. J. Game Theory.

[23]  Benny Moldovanu,et al.  Contest architecture , 2006, J. Econ. Theory.

[24]  Roman M. Sheremeta,et al.  A Survey of Experimental Research on Contests, All-Pay Auctions and Tournaments , 2012 .

[25]  Lukas M. Wenner,et al.  Expected prices as reference points: Theory and experiments , 2015 .

[26]  R. Ehrenberg,et al.  Compensating Wage Differentials for Mandatory Overtime , 1981 .

[27]  U. Fischbacher z-Tree: Zurich toolbox for ready-made economic experiments , 1999 .

[28]  J. Sonnemans,et al.  Nonrenewable Resources, Strategic Behavior and the Hotelling Rule: An Experiment , 2011, The Journal of Industrial Economics.

[29]  L. S. Shapley,et al.  College Admissions and the Stability of Marriage , 2013, Am. Math. Mon..

[30]  J. Kagel,et al.  The Dynamics of Reorganization in Matching Markets: A Laboratory Experiment Motivated by a Natural Experiment , 2000 .

[31]  Atila Abdulkadiroglu,et al.  School Choice: A Mechanism Design Approach , 2003 .

[32]  Jonathan Levin,et al.  Early Admissions at Selective Colleges , 2009 .

[33]  Orazio Attanasio,et al.  Group Lending or Individual Lending? Evidence from a Randomized Field Experiment in Rural Mongolia , 2013 .

[34]  Morimitsu Kurino,et al.  Second-best incentive compatible allocation rules for multiple-type indivisible objects , 2014 .

[35]  Ben Greiner,et al.  An Online Recruitment System for Economic Experiments , 2004 .

[36]  Anthony C. Davison,et al.  Bootstrap Methods and Their Application , 1998 .

[37]  Ximing Wu,et al.  Adverse Selection in Competing All-Pay Auctions , 2005 .

[38]  Pablo Guillen,et al.  Monkey see, monkey do: Truth-telling in matching algorithms and the manipulation of others , 2014 .

[39]  Guilherme Carmona Nash and Limit Equilibria of Games with a Continuum of Players , 2003 .

[40]  R. McAfee Mechanism Design by Competing Sellers , 1993 .

[41]  Gadi Fibich,et al.  All-pay auctions with risk-averse players , 2006, Int. J. Game Theory.

[42]  B. Moldovanu,et al.  The Optimal Allocation of Prizes in Contests , 2001 .

[43]  Drew Fudenberg,et al.  Competing Auctions , 2002 .

[44]  B. Efron The jackknife, the bootstrap, and other resampling plans , 1987 .

[45]  Benny Moldovanu,et al.  Competing auctions with endogenous quantities , 2008, J. Econ. Theory.

[46]  A. Schotter,et al.  Workaholics and Dropouts in Organizations , 2010 .

[47]  Charles Noussair,et al.  Behavior in all-pay auctions with incomplete information , 2006, Games Econ. Behav..

[48]  Uriel G. Rothblum,et al.  Incentive compatibility for the stable matching model with an entrance criterion , 2010, Int. J. Game Theory.

[49]  Ron Siegel,et al.  All-Pay Contests , 2009 .

[50]  Salgado Alfredo Incomplete Information and Costly Signaling in College Admissions , 2018 .

[51]  Kai A. Konrad,et al.  Strategy and Dynamics in Contests , 2009 .

[52]  Joep Sonnemans,et al.  Peers at Work: From the Field to the Lab , 2014 .

[53]  Yan Chen,et al.  School Choice : An Experimental Study ∗ , 2004 .

[54]  Ferdinand M. Vieider,et al.  Measuring Risk Preferences in Rural Ethiopia: Risk Tolerance and Exogenous Income Proxies , 2014 .

[55]  Onur Kesten,et al.  Chinese College Admissions and School Choice Reforms: A Theoretical Analysis , 2017, Journal of Political Economy.

[56]  B. Moldovanu,et al.  Carrots and Sticks: Prizes and Punishments in Contests , 2008 .

[57]  Azar Abizada,et al.  Stability and strategy-proofness for college admissions with an eligibility criterion , 2015 .

[58]  R. Pieters,et al.  Working Paper , 1994 .

[59]  Mürüvvet Büyükboyacı A Designer'S Choice between Single‐Prize and Parallel Tournaments , 2016 .

[60]  Christine Harbring,et al.  An experimental study on tournament design , 2003 .

[61]  Dan Kovenock,et al.  A Comparison of Multiple-Unit All-Pay and Winner-Pay Auctions Under Incomplete Information , 2002 .

[62]  R. Hakimov Contests at the workplace with and without prize selection: Testing theory in a field experiment , 2016 .

[63]  Mürüvvet Büyükboyacı Parallel Tournaments , 2012 .

[64]  E. Maasland,et al.  Auction Theory , 2021, Springer Texts in Business and Economics.