Sp. Anderson et al., RENT-SEEKING WITH BOUNDED RATIONALITY - AN ANALYSIS OF THE ALL-PAY AUCTION, Journal of political economy, 106(4), 1998, pp. 828-853
The winner-take-all nature of all-pay auctions makes the outcome sensi
tive to decision errors, which we introduce with a legit formulation.
The equilibrium bid distribution is a fixed point: the belief distribu
tions that determine expected payoffs equal the choice distributions d
etermined by expected payoffs. We prove existence, uniqueness, and sym
metry properties. In contrast to the Nash equilibrium, the comparative
statics of the legit equilibrium are intuitive: rent dissipation incr
eases with the number of players and the bid cost. Overdissipation of
rents is impossible under full rationality but is observed in laborato
ry experiments. Our model predicts this property.