I prove an "average" version of the Lyapunov convexity theorem and apply it to establish some core equivalence results for an atomless economy.

In this paper we introduce the concept of a strictly fair allocation and investigate the set of strictly fair allocations in large exchange economies. We prove that when agents' utility functions are differentiable, the set of strictly fair allocations coincides with the set of equal-income...

In this paper I prove that in the standard model of 2 times n (n >= 2) pure exchange economies there is no allocation mechanism that is efficient, non-inversely-dictatorial, and strategy-proof. This strengthens two previous results on this subject by Hurwicz and by Dasgupta, Hammond, and Maskin.

Problems of social choice frequently take the following form. There are n voters and a set K = (1,2,...,k) of objects. The voters must choose a subset of K. We define a class of voting schemes called voting by committees. The main result of the paper is a characterization of voting by...

In this paper we study the production and pricing of a good by a single supplier (such as a monopolist or government) under some given optimality criterion--for example, profit maximization or social benefit maximization. In general, this may require discriminatory pricing. The primary focus...

The output power-voltage (P-V) curve of a solar photovoltaic (PV) power system shows a single peak under an even irradiation environment, nevertheless, but often exhibits seriously nonlinear multi-peak characteristics under partial shading conditions (PSCs). Then, traditional maximum power point...

We investigate equilibrium notions in game theory from the revealed preference approach. For extensive game forms with complete information, we derive a set of independent necessary and sufficient conditions for the observed outcomes to be rationalized by subgame perfect Nash equilibrium.

Affected by the meteorological disasters and market fluctuations, the growing area, yield and quality of cotton in Shandong Province have been reduced to varying degrees in recent years. The majority of farmers are regarded as the main body of agricultural production, whose enthusiasm for...

In this paper, I first prove an integral representation theorem: Every quasi-integralon a Stone lattice can be represented by a unique upper-continuous capacity. I then apply this representation theorem to study the topological structure of the space of all upper-continuous capacities on a...