Any function from a non-empty polytope into itself that is locally gross direction preserving is shown to have the fixed point property. Brouwer's fixed point theorem for continuous functions is a special case. We discuss the application of the result in the area of non-cooperative game theory.

This article studies the impact of primary care providers (PCPs) exit from the local health care system on patients' health care utilization. I compare patients with each other whose physicians have left the local health care system at different points in time due to retirement, relocation, or...

Should shocks be part of our macro-modeling tool kit - for example, as a way of modeling discontinuities in fiscal policy or big moves in the financial markets? What are shocks, and how can we best put them to use? In heterodox macroeconomics, shocks tend to come in two broad types, with some...