Research Of Rationality Aggregation Based On Lexicographic Order

An important research field of Social Choice Theory was how to achieve the rational decision group. Arrow theory denial of rational decision group under the condition of idealized, but did not deny the rational group decision under the condition of social reality. Because social needed group rationality:how to realied the group rationality was not only important content of Social Choice Theory, but also the requirement of social reality.In addition, Arrow theory provided a standard for evaluation specific aggregation law. The standard contained two aspects:one is the aggregation rule whether can form the group decision; The second was it whether rational formed by the aggregation law group decision. That is to say, the group preference aggregation process whether meet in our the theorem several conditions. According to the standard, we willed be able to evaluation specific law.Lexicographic order was a kind of effective method law for form of group decision. However, the price was individual preference order must existing level difference, which reflected dictatorial in the group decision process. And it was not rational decision group by the law. Through the family under the influence of Chinese grassroots election group decision the analysis of characteristics of the form, and expounds the application study of Chinese dictionary sorting method the election has important theoretical significance, it was the election with China's actual.In ordered to lexicographic order power of expression, gave the Group Preference Logic based on the algorithm and the rules of lexicographic order method. And analysis of basic characteristics of the election of China by the GPL. Purpose was further analysis of the Chinese countryside basic features in the election laid a theoretical foundation.Through the power of the influence of family election form that depict, lexicographic order method in a particular case was to realize the effective method of group decision, however, This and the real group the rational decision different, formed by its group decision and cannot be called a rational. Family power of the influence of rural grassroots election results will reflect this. Although the family in the effect of several kinds of elections, some have obvious dictatorial, some were pushing the election results of generation, only to discern from the surface phenomenon their quality. All in all, as long as there is between members of the group discourse level difference, is irrational.Introducing GPL analysis election of China, making the analysis to social phenomenon become clearer, more in-depth understanding the nature of the phenomenon.There are five main parts in this paper. Chapter Two we analyze the rational aggregation characteristics of election of China. Then Chapter three we analyze the basic rules of lexicographic order. Next, Chapter Four, we introduce a logic representation for group preference aggregation. And we also have some discussions towards its impacts on the characteristics of election of China and lexicographic order law. At last, we study the problems around game solutions.