with counted as (
select
    m.id as manager_id
    , m.name
    , m.chief_id
    , count(c.id) as claims
from manager m
join claim c
    on m.id = c.manager_id
group by
    m.id
    , m.chief_id
    , m.name
)
select
    m.name
from counted m
left join counted c
    on m.chief_id = c.manager_id
where m.claims > c.claims