Consider a model in which a consumer faces a lottery with j other people for a prize, so that the probability of winning the prize is 1/(j+1). Now let j be a random variable, determined by the binomial distribution. Specifically, let there be n potential competitors for the consumer in the...

The fixed-price-offer (FPO) mechanism in <italic>Trade Me</italic> auctions allows sellers to make a take-it-or-leave-it offer at the conclusion of an unsuccessful auction. Weinvestigate the effects of the FPO option on strategies and outcomes in independent-value auctions. The FPO option induces some bidders...

This article is concerned with models in which an agent faces a lottery with <italic>j</italic> other agents for a prize, so that the probability of winning the prize is 1/(<italic>j</italic> + 1), and where <italic>j</italic> is stochastic. After describing four different situations where such a lottery is present, we construct the expected...

In a standard English auction in which bidders’ valuations are independently drawn from a common distribution, a standard regularity condition is that the survivor function of the distribution be log concave. In an auction where the seller sets a fixed price, the equivalent condition requires...

The Fixed Price Offer (FPO) mechanism in Trade Me auctions allows sellers to make a take-it-or-leave-it offer at the conclusion of an unsuccessful auction. We investigate the effects of the FPO option on strategies and outcomes in independent-value auctions. The FPO option induces some bidders...