We ask how the three known mechanisms for solving cost sharing problems with homogeneous cost functions - the value, the proportional, and the serial mechanisms - should be extended to arbitrary problem. We propose the Ordinality axiom, which requires that cost shares be invariante under all...

We propose an alternate parameterization of stationary regular finite-state Markov chains, and a decomposition of the parameter into time reversible and time irreversible parts. We demonstrate some useful properties of the decomposition, and propose an index for a certain type of time...

This paper explores under what circumstances high-quality producers would not voluntarily submit grading when low-quality firms would readily do sa, and under what conditions high-quality firms would have a lesser proportion if their ouput graded than low-quality counterparts. It also...