This note extends the axiomatic characterization of the "power" success function in fair contests by Skaperdas (1996) to an unfair contest. We show that the results previously obtained are straightforward to generalize; the success function is uniquely characterized by Luce's Choice Axiom...

We consider competitive behaviour in sequential markets when current success or failure may affect the probability of future market opportunities. The analysis is conducted in a set up which may be interpreted as two private-value, sealed-bid, second-price sequential auctions. We demonstrate...