In a small bowl, whisk together the vinaigrette, soy sauce, shallots, and summer savory or oregano. Place the ground beef in a large bowl. Add 3 tablespoons of the vinaigrette mixture and combine, then use your hands to form 4 patties. Heat a grill to high and cook the hamburgers to desired doneness. (Alternatively, cook the hamburgers in a skillet over medium-high heat.) Spoon the remaining vinaigrette mixture over the hamburgers. Top with any remaining shallots and serve with the potato chips, if desired.