First-Accept Match
First-Accept Match is a term for the scheme that is currently used for KPD. The idea is simple: match a new donor/recipient pair to the first compatible donor/recipient pair that can be found.

First-Accept Match
The most straight-forward way to match KPD pairs. Whenever a new pair comes into the system, find the first one that matches and perform the transplant. See below for why this scheme is not the best choice.
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| First-Accept Match finds only one match |
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| Optimized Match looks at all possibilities and finds the most matches possible |
The Problem
With First-Accept Match, Pair 1 matches the center pair because it's the first one that matches. Pair 2 does not get matched, even though a solution exists that matches both 1 and 2.
The solution is to use a better algorithm for matching compatible pairs. In fact, Optimized Match is guaranteed to give us the most and best matches possible for any criteria we choose.