How can I correctly choose maximum number of occurrences of a string while grouping by another field?

I am using Postgresql 9.0. I have the following fields in a table: id, name. id name 1 John 1 Mary 1 Mary 1 Mary 1 John 1 Mary 3 Paul 3 Paul 3 George . . . . For each id, I want to select the name that occurs the most. How can I do that? I tried with the following query but it doesn't work: select id, max(name) from table group by id;