Title
The size of the core in assignment markets
Abstract
Assignment markets involve matching with transfers, as in labor markets and housing markets. We consider a two-sided assignment market with agent types and stochastic structure similar to models used in empirical studies, and characterize the size of the core in such markets. Each agent has a randomly drawn productivity with respect to each type of agent on the other side. The value generated from a match between a pair of agents is the sum of the two productivity terms, each of which depends only on the type but not the identity of one of the agents, and a third deterministic term driven by the pair of types. We allow the number of agents to grow, keeping the number of agent types fixed. Let n be the number of agents and K be the number of types on the side of the market with more types. We find, under reasonable assumptions, that the relative variation in utility per agent over core outcomes is bounded as O*(1/n1/K), where polylogarithmic factors have been suppressed. Further, we show that this bound is tight in worst case. We also provide a tighter bound under more restrictive assumptions.
Year
DOI
Venue
2014
10.5555/2722129.2722257
SODA
DocType
Volume
ISBN
Journal
abs/1407.2576
978-1-61197-433-1
Citations 
PageRank 
References 
2
0.43
6
Authors
3
Name
Order
Citations
PageRank
Yash Kanoria1346.42
Daniela Saban2317.84
Jay Sethuraman343942.32