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Following up on purely theoretical work of Bredereck et al. [AAAI 2020], wecontribute further theoretical insights into adapting stable two-sidedmatchings to change. Moreover, we perform extensive empirical studies hintingat numerous practically useful properties. Our theoretical extensions includethe study of new problems (that is, incremental variants of Almost StableMarriage and Hospital Residents), focusing on their (parameterized)computational complexity and the equivalence of various change types (thussimplifying algorithmic and complexity-theoretic studies for various naturalchange scenarios). Our experimental findings reveal, for instance, thatallowing the new matching to be blocked by a few pairs significantly decreasesthe necessary differences between the old and the new stable matching.

Theory of and Experiments on Minimally Invasive Stability Preservation in Changing Two-Sided Matching Markets