Existence of directedwhist tournaments with the three person property 3PDWh(v)3PDWh(v)

A directedwhist tournament DWh(v)DWh(v) is said to have the three person property if no two games in the tournament have three common players. We briefly denote such a design as a 3PDWh(v)3PDWh(v). In this paper, we show that a 3PDWh(v)3PDWh(v) exists whenever v>5v>5 and v≡1(mod4).