One counterintuitive piece of game theory trivia is that, in equilibrium, penalty kickers should kick to their weaker sides more often than their stronger sides

One counterintuitive piece of game theory trivia is that, in equilibrium, penalty kickers should kick to their weaker sides more often than their stronger sides. In equilibrium, you should be indifferent to the goalkeeper's strategy, and if you're better at kicking to the left, that means you should kick to the right more, not less.