社會(huì)福利函數(shù)中的拓?fù)鋵W(xué)方法.pdf

1、湘潭大學(xué)碩士學(xué)位論文社會(huì)福利函數(shù)中的拓?fù)鋵W(xué)方法姓名：鄭秋云申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：龔志明200505014Abstract The history of the study for social welfare functions is about two hundred years. Welfare function is a so popular thesis in economics at all times t

2、hat many famous economists are attracted to discuss this problem. People first use Benthamic methods in this study. But now because of modern social welfare functions coming into being, which makes it possible to conside

3、r only individual ordering utilities to study social welfare functions. Chapter one of this paper is a simple introduction of researching backgrounds and developing story about social welfare functions, which let people

4、have a basic understanding about it. In chapter two, we only consider individual ordering utilities, without considering the interpersonal comparability and cardinality. We use topological methods to study social welfar

5、e functions and prove Arrow impossibility theorem. In chapter three of this paper, we succeed to the methods in chapter two and obtain impossibility theorem for the case when interpersonal comparisons are admitted but ca