This paper analyzes Tullock's rent-seeking game with asymmetric valuations
for a variable range of the returns to scale parameter. A necessary and suf
ficient condition for a unique pure strategy Nash equilibrium is establishe
d. Equilibrium effort and expected profits are determined and subjected to
comparative statics analysis. Increasing the underdog's valuation induces b
oth players to increase their efforts. Increasing the favorite's valuation
increases his effort but decreases the effort of the underdog. Expected pro
fits increase with a player's valuation but decreases with the valuation of
the competitor. The impact of the returns to scale parameter is also analy
zed.