Certainly not the only way - you could prototype a method (against Object here but I certainly wouldn't suggest using Object for live code) to replicate C#/Java style comparison methods.
Edit, since a general example seems to be expected:
Object.prototype.equals = function(x)
{
for(p in this)
{
switch(typeof(this[p]))
{
case 'object':
if (!this[p].equals(x[p])) { return false }; break;
case 'function':
if (typeof(x[p])=='undefined' || (p != 'equals' && this[p].toString() != x[p].toString())) { return false; }; break;
default:
if (this[p] != x[p]) { return false; }
}
}
for(p in x)
{
if(typeof(this[p])=='undefined') {return false;}
}
return true;
}
Note that testing methods with toString() is absolutely not good enough but a method which would be acceptable is very hard because of the problem of whitespace having meaning or not, never mind synonym methods and methods producing the same result with different implementations. And the problems of prototyping against Object in general.