We introduce a new stability concept for multi-period matching markets. Robust prescient stability asserts that agents exhibit foresight concerning how a market can develop in the future, but they retain ambiguity concerning how the market will develop. We show that a robustly presciently stable matching exists for any configuration of agents’ preferences.
Kotowski, Maciej. "A Note on Stability in One-to-One, Multi-Period Matching Markets." HKS Faculty Research Working Paper Series RWP15-042, August 2015.