Allocating group housing

We study mechanisms for allocating objects to pairs of agents when agents may have nontrivial preferences over objects and pairings. In this environment, the mechanism may distort agents’ preferences over pairings. Compared to certain distortive mechanisms, a non-distortive one always has a stable allocation in our model, and selects stable outcomes that are ex ante preferred by all students under a regularity condition on the distribution of pair values.

[1]  Greg J. Duncan,et al.  Empathy or Antipathy ? The Impact of Diversity , 2007 .

[2]  M. Kremer,et al.  Peer Effects and Alcohol Use Among College Students , 2003 .

[3]  M. Bagnoli,et al.  Log-concave probability and its applications , 2004 .

[4]  Jean Lainé,et al.  The Core of Shapley–Scarf markets with couples , 2011 .

[5]  Atila Abdulkadiroglu,et al.  HOUSE ALLOCATION WITH EXISTING TENANTS , 1999 .

[6]  Gigi Foster.  It's not your peers, and it's not your friends: Some progress toward understanding the educational peer effect mechanism , 2006 .

[7]  Bruce I. Sacerdote.  Peer Effects with Random Assignment: Results for Dartmouth Roommates , 2001 .

[8]  Michael A. Trick,et al.  Stable matching with preferences derived from a psychological model , 1986 .

[9]  K. Rask,et al.  Peer effects in higher education: A look at heterogeneous impacts , 2014 .

[10]  Sang Won Bae,et al.  Geometric stable roommates , 2009, Inf. Process. Lett..

[11]  D. Zimmerman.  Peer Effects in Academic Outcomes: Evidence from a Natural Experiment , 1999, Review of Economics and Statistics.

[12]  L. Shapley,et al.  College Admissions and the Stability of Marriage , 1962 .

[13]  J. E. West,et al.  Does Your Cohort Matter? Measuring Peer Effects in College Achievement , 2009 .

[14]  M. Pycia.  Stability and Preference Alignment in Matching and Coalition Formation , 2010 .

[15]  L. Shapley,et al.  On cores and indivisibility , 1974 .

[16]  R. Zeckhauser,et al.  The Efficient Allocation of Individuals to Positions , 1979, Journal of Political Economy.

[17]  Kim-Sau Chung,et al.  On the Existence of Stable Roommate Matchings , 2000, Games Econ. Behav..

[18]  G. Becker.  Chapter Title: a Theory of Marriage a Theory of Marriage , 2022 .

[19]  Thayer Morrill,et al.  The roommates problem revisited , 2008, J. Econ. Theory.