The thermoelectric instability in divertor tokamaks has been studied, takin
g account of the divertor asymmetry induced externally by the biasing and r
ecycling asymmetry. The equilibrium and stability of scrape-off layer ( SOL
) and divertor plasmas are investigated by using a five-point model. In the
case of low divertor radiation, there exists a stable equilibrium. On the
other hand, in the case of high radiation, there are one unstable and two s
table equilibria. The thermoelectric instability arises at the unstable equ
ilibrium where the SOL current is small. When the externally induced asymme
try is large, one of the stable equilibria only remains and the other equil
ibria disappear. At the remaining equilibrium, the SOL current increases wi
th the externally induced asymmetry and the thermoelectric instability does
not arise.