Game Theory Dominance Graphs Beliefs and Expected Payoffs Strict and Weak Dominance Dominance by a Mixed Strategy Nash Equilibrium Graphs Mixed Strategies: Fight vs Opera (old) Matching Pennies Mixed Strategy Equilibrium Auctions Graphs Valuation Distribution Bid Distribution (if one other bidder is bidding a constant fraction of their valuation) Optimal Bidding in a First-Price Auction (if one other bidder is bidding a constant fraction of their valuation) Explanations First-Price Sealed-Bid Private-Value Auctions