Score contribution per author:
α: calibrated so average coauthorship-adjusted count equals average raw count
The results previously obtained on the finiteness property in vertically differentiated markets, with cost functions having increasing or decreasing returns, are extended to a much larger class of cost functions with local properties in a vicinity of the zero output. Moreover, existence results are provided to prove that the demonstrated properties have cases of application. Copyright Springer-Verlag Berlin/Heidelberg 2004