In this paper, we have the following results. (1) In general, the correspondeces between capital and class, and capital and exploitation don't hold in our model (these relations hold in Roemer (1982)), but the correspondence between class and exploitation holds. (2) We have two examples of nonexistence of exploitation with positive profit (the counter-example of Fundamental Marxian Theorem in our model) and an example of existence of exploitation with identical capital endowments. (3) We get some propositions about the relationship between three concepts, free to choose, freedom to attain one's purpose and non-existence of exploitation.