Check if the parameter is present in the JSON object at any depth

Api returns a JSON response at an undetermined depth where some elements may or may not be included. How to check if a property is present? Some of the options include strange names like "@param" or "$". An example for this follows.

I wrote a check for something like that, but I can’t use the point syntax for the above reasons. Help modifying this is much appreciated.

function checkValue(objectPath) {
    var keys = Object.isArray(objectPath) ? objectPath : objectPath.split(".");
    if (keys[0] == "window") keys.shift();
    try {
    return keys.inject(window, function(obj, key) {return obj[key];});
    } catch (e) {
        return undefined;
    }
}

Example for a test object:

var obj = {
member: {
    '@member-age': {
        value: 42
    }
}};

Before I tested it with checkValue (obj.member.age), but cannot do this for obvious reasons in this example.