I have the following table in my database.
# select * FROM matches;
 name | prop |  rank
------+------+-------
 carl |    1 |     4
 carl |    2 |     3
 carl |    3 |     9
 alex |    1 |     8
 alex |    2 |     5
 alex |    3 |     6
 alex |    3 |     8
 alex |    2 |    11
 anna |    3 |     8
 anna |    3 |    13
 anna |    2 |    14
(11 rows)
Each person is ranked at work by different properties/criterias called 'prop' and the performance is called 'rank'. The table contains multiple values of (name, prop) as the example shows. I want to get the best candidate following from some requirements. E.g. I need a candidate that have (prop=1 AND rank > 5) and (prop=3 AND rank >= 8). Then we must be able to sort the candidates by their rankings to get the best candidate. 
EDIT: Each person must fulfill ALL requirements
How can I do this in SQL?
 
     
     
     
     
    