JQuery map vs Javascript map vs For-loop

I'm implementing some code that is a natural fit for map. However, I have a significant amount of objects in a list that I'm going to iterate through, so my question is which is the best way to go abou this:

var stuff = $.map(listOfMyObjects, someFunction())

var stuff = listOfMyObjects.map(someFunction())

or just

var stuff = new Array(); 
for(var i = 0; i < listOfmyObjects.length; i++){
    stuff.push(someFunction(listOfMyObjects[i]));
}