First-hand information for everyone
A study published in the journal *Industrial and Systems Engineering* introduces “strategic tanking,” a novel manipulation in stable matching markets. In this approach, an agent intentionally lowers its ranking in selected opposite‑side preference lists without changing its own list, thereby influencing how others rank it.
The researchers define a particular form called cutoff tanking. An agent moves itself to the bottom of every opposite‑side list that places it below a chosen partner. This action has the same effect on the set of stable assignments as if the agent had truncated its own preference list at that partner, but it keeps the agent’s original preferences intact and ensures every match remains acceptable.
For every partner that is currently a stable match, the authors show that the set of stable assignments after cutoff tanking equals the set after traditional truncation. The mathematical proof appears in the paper’s appendix and establishes a precise equivalence between the two techniques.
However, the study also warns that more flexible forms of tanking can lead to outcomes that are not stable under the original sincere preferences. In a men‑proposing deferred‑acceptance setting, a single profitable tanking move can produce an equilibrium that creates a blocking pair relative to the sincere profile.
These findings suggest that strategic tanking offers a powerful but nuanced tool for agents in matching markets, but it also risks destabilizing the underlying system if used beyond cutoff tanking.