In this paper，some basic problems in bargaining theory and methodology are systematically summarized．The situation of study and the literature concerned for bargaining theory and methodology are reviewed．The developing tendency of bargaining theory and methodology is discussed from different aspects．Especially，this paper shows that the bargaining of non—utility preference and of multiobjecdve should be the important fields and that incomplete information problems be main content to be studied for bargaining theory and method ology．This paper is divided two parts．Here is part I