Before revision:  Bidding games were largely studied with variants of first-price bidding. In this work, we study , for the first time, infinite-duration all-pay bidding games , and show that they exhibit the elegant{\em   mathematical properties of their first-price counterparts .
After revision:  Bidding games were largely studied with variants of first-price counterparts. We study for the first time, infinite-duration all-pay bidding games , and show that they exhibit the elegant{\em mathematical properties of their first-price counterparts .