The evolution from a local moment, magnetically ordered ground state (below 20 K), in ${\mathrm{GdNi}}_{2}{\mathrm{B}}_{2}\mathrm{C}$ to a Kondo lattice in ${\mathrm{YbNi}}_{2}{\mathrm{B}}_{2}\mathrm{C}$ compounds $(\ensuremath{\gamma}\ensuremath{\approx}530{\mathrm{m}\mathrm{J}/\mathrm{m}\mathrm{o}\mathrm{l}\mathrm{}\mathrm{K}}^{2},{T}_{N}<0.03\mathrm{K})$ was studied on single crystals of the ${\mathrm{Gd}}_{1\ensuremath{-}x}{\mathrm{Yb}}_{x}{\mathrm{Ni}}_{2}{\mathrm{B}}_{2}\mathrm{C}$ series by thermodynamic and transport measurements with particular attention to the concentration range in which there is the development of a spin-glass state. Results are compared with an example of magnetic to nonmagnetic rare-earth dilution in the ${\mathrm{Gd}}_{1\ensuremath{-}x}{\mathrm{Lu}}_{x}{\mathrm{Ni}}_{2}{\mathrm{B}}_{2}\mathrm{C}$ series.