Question 3 Consider a medical match problem with three hospitals, hi, h and h;, and four doctors di, d2, d: and d. The capacities are qh, = 1, qh,= 2

and qh,= 1. The preferences are given by the table below (we assume that each doctor find hospitals all acceptable and each hospital finds each doctor acceptable), Does this market have more than one stable matching? Please provide a proof for your answer.