This paper studies all-pay auctions for a product in which there is a buy-price option for bidders to guarantee purchases at a seller-specified price. We analyze symmetric pure-strategy equilibria in the first- and second-price all-pay auctions with the buy-price option. Under these equilibria,...

In a recent paper, Odegaard and Anderson (2014) consider a setting of two sales channels: a fixed list price store and an all-pay auction with a buy-price option. They did not address the concern on the coexistence of two channels. If a single firm operates dual channels, we show that the seller...

We apply the aggregation property of Identical Shape Harmonic Absolute Risk Aversion (ISHARA) utility functions to analyze the comparative statics properties of a bargaining model with uncertainty. We identify sufficient and necessary conditions under which an increase in one's degree of risk...