Everyone is assigned one object, and you know that no pair of agents wants to swap their objects.
When can you be sure that there will also not exist a group of any size (larger than two) who want to exchange their objects?
Find the answer in our WP (with Bettina Klaus): arxiv.org/abs/2508.05340
Just read a fantastic paper by Xiang Han.
For everyone interested in matching problems, I highly recommend sitting down and reading his work, it's a fresh and unifying perspective on such a well-studied topic.
onlinelibrary.wiley.com/share/MYZZFH...
The core can be empty in many variants of coalition formation games. In our new working paper, we quantify the relationship between two intuitive concepts of core relaxation in hedonic games.
Find out why larger blocking coalitions might sometimes be worse off in: arxiv.org/abs/2412.01666.
