Conditions α and β are two well-known rationality conditions in the theory of rational choice. This paper examines the implications of weaker versions of these two rationality conditions in the context of solutions to nonconvex bargaining problems. It is shown that, together with the standard...

This paper provides an innovative axiomatic analysis of the notion of exploitation as the unequal exchange of labour. General convex economies with heterogeneous agents endowed with unequal amounts of physical and human capital are considered. An axiomatic characterisation of the class of...

Conditions α and β are two well-known rationality conditions in the theory of rational choice. This paper examines the implications of weaker versions of these two rationality conditions in the context of solutions to nonconvex bargaining problems. It is shown that, together with the standard...

This report explores the development of exploitation theory in mathematical Marxian economics by reviewing the main controversies surrounding the definition of exploitation since the contribution of Okishio (1963). The report first examines the robustness and economic implications of the debates...

This paper surveys and extends some recent contributions on the theory of exploitation as the unequal exchange of labour. A model of dynamic economies with heterogeneous optimising agents is presented which encompasses the models used in the literature as special cases. It is shown that the...

This paper analyses the equilibrium dynamics of exploitation and class in general accumulation economies with population growth, technical change, and bargaining by adopting a novel computational approach. First, the determinants of the emergence and persistence of exploitation and class are...

The purpose of this paper is to examine the possibility of a social choice rule to implement a social policy for “securing basic well-being for all.” For this purpose, the paper introduces a new scheme of social choice, called a social relation function (SRF), which associates to each...

In this paper, we correct a flaw in Proposition 1 of Yoshihara (2010). The original proof of Proposition 1 is correct only with the existence of reproducible solutions with zero profit rate. In contrast, this note provides an alternative characterization of the domain of economies under which...

This paper extends the analysis of liberal principles in social choice recently proposed by Mariotti and Veneziani ([6]) to societies with an infinite number of agents. First, a novel characterisation of the inegalitarian leximax social welfare relation is provided based on the Individual...

This paper analyses Rawls's celebrated difference principle, and its lexicographic extension, in societies with a finite and an infinite number of agents. A unified framework of analysis is set up, which allows one to characterise Rawlsian egalitarian principles by means of a weaker version of a...