SELECT tab1.*, t2.action
FROM tab1
JOIN (
SELECT DISTINCT ON (tab1_id) tab1_id
, first_value(action) OVER (PARTITION BY tab1_id
ORDER BY id DESC) AS action
FROM tab2
) t2 ON tab1.id = t2.tab1_id
@Markはすでに代替のLEFT JOIN
について言及しています 。