Talks
Fall 2019

# The General Graph Matching Game: Approximate Core

Monday, Mar. 1, 2021 9:40 am10:10 am

This paper salvages the situation by giving an imputation in the $2/3$-approximate core for the latter. This bound is best possible, since it is the integrality gap of the natural underlying LP. Our profit allocation method goes further: the multiplier on the profit of an agent lies in the interval $[{2 \over 3}, 1]$, depending on how severely constrained the agent is.  Our imputation implies that a sub-coalition will gain at most a $3/2$ factor by seceding, and less in typical cases.