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...

The purpose of this paper is to examine the critical arguments made by Burmeister, Samuelson, and others with respect to Sraffa (1960). In his arguments about the standard commodity, Sraffa assumed that a change in income distribution has no effect on the output level and choice of techniques....

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 studies the Nash solution to nonconvex bargaining problems. The Nash solution in such a context is typically multi-valued. We introduce a procedure to exclude some options recommended by the Nash solution. The procedure is based on the idea of the Kalai-Smorodinsky solution which has...

In production economies with unequal labor skills, where the planner is ignorant to the set of feasible allocations in advance of production, the paper firstly introduces a new axiom, Nonmanipulability of Irrelevant Skills (NIS), which together with Maskin Monotonicity constitute the necessary...

Three alternative characterizations of the proportional solution defined on compact and comprehensive bargaining problems with claims are provided. Two new contraction-type and expansion-type axioms are used. Moreover, the single-valuedness axiom is dispensable if the classical symmetry axiom is...

Noting that a full characterization of Nash-implementation is given using a canonical-mechanism and Maskin’s theorem (Maskin, 1999) is shown using a mechanism with Saijo’s type of strategy space reduction (Saijo, 1988), this paper fully characterizes the class of Nashimplementable social...

This paper studies the Nash solution to nonconvex bargaining problems. The Nash solution in such a context is typically multi-valued. We introduce a procedure to exclude some options recommended by the Nash solution. The procedure is based on the idea of the Kalai-Smorodinsky solution which has...

This paper studies implementation problems in the wake of a recent new trend of implementation theory which incorporates a non-consequentialist flavor of the evidence from experimental and behavioral economics into the issues. Specifically, following the seminal works by Matsushima (2008) and...