A single formula assigns a continuous utility function to every representable preference relation.

Sufficient conditions are provided for a possibly incomplete preference preorder on a topological space to be closed in the product space if and only if it has closed upper and lower contour sets. Notably, it is shown that the two properties are equivalent if the domain of the preorder is a...

In n-agent exchange economies, we show that all efficient and continuous rules are "diagonally dictatorial" over the restricted domain of linear preferences and, in the 2-good case, over the domain of homothetic preferences. The diagonal dictator receives the entire endowment whenever all agents...

This paper presents a generalized pre-averaging approach for estimating the integrated volatility. This approach also provides consistent estimators of other powers of volatility in particular, it gives feasible ways to consistently estimate the asymptotic variance of the estimator of the...

Contract farming is typically seen as a useful mechanism to help smallholders. However, despite economic benefits, high dropout rates from contract schemes are commonplace. We use data from Ghana to show that smallholders benefit from a resource-providing contract in terms of higher yields and...