We present results from a Guided Random Walk Monte Carlo simulation of the lightq2q¯2system in a Coulomb‐plus‐linear quark potential model using an Intel iPSC/860 hypercube. A solvable model problem is first considered, after which we study the fullq2q¯2system in (J,I)=(2,2) and (2,0) sectors. We find evidence for no bound states below the vector‐vector threshold in these systems.