How to design a webservice

I want to create a rest-webservice which returns json-objects. How should I design the response of the api-calls? For example I got a class "Profil". Each Profil has a list of "Schedules".

When I want to get a profil what should I return?

Only the profil-fields (and call after that my schedules)

{
    "id": 1,
    "name":"Peter",
    "schedule_ids":[20,21]
}

or the profil-object with an array of schedules?

{
    "id": 1,
    "name":"Peter",
    "schedules":
    [
        {
            "id":20,
            "startDay":"2015/3/3"
        },
        {
            "id":21,
            "startDay":"2015/9/10"
        }
    ]
}    

Are there any software design patterns for webservice models?