Bidding optimally in concurrent second-price auctions of perfectly substitutable goods
Proceedings of the 6th international joint conference on Autonomous agents and multiagent systems
Generalised fictitious play for a continuum of anonymous players
IJCAI'09 Proceedings of the 21st international jont conference on Artifical intelligence
A neighborhood correlated empirical weighted algorithm for fictitious play
LSMS/ICSEE'10 Proceedings of the 2010 international conference on Life system modeling and simulation and intelligent computing, and 2010 international conference on Intelligent computing for sustainable energy and environment: Part II
Improving behavior of computer game bots using fictitious play
International Journal of Automation and Computing
Computing pure Bayesian-Nash equilibria in games with finite actions and continuous types
Artificial Intelligence
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We investigate equilibrium strategies for bidding agents that participate in multiple, simultaneous second-price auctions with perfect substitutes. For this setting, previous research has shown that it is a best response for a bidder to participate in as many such auctions as there are available, provided that other bidders only participate in a single auction. In contrast, in this paper we consider equilibrium behaviour where all bidders participate in multiple auctions. For this new setting we consider mixed-strategy Nash equilibria where bidders can bid high in one auction and low in all others. By discretising the bid space, we are able to use smooth fictitious play to compute approximate solutions. Specifically, we find that the results do indeed converge to ε-Nash mixed equilibria and, therefore, we are able to locate equilibrium strategies in such complex games where no known solutions previously existed.