Nash on a Number Line

The board opens on Cournot’s two springs and then solves small grids. This lesson goes back to the springs and solves them properly, where each player’s move is not Up or Down but any number on a dial.

Before you start. From Dominant Strategies & Nash Equilibrium you have the Nash equilibrium: a set of choices where nobody gains by changing only their own move, found by marking each player’s best reply to every move of the other. That lesson only ever had two or three moves per player, so a grid held the whole game. Here a player can choose any amount at all, and the grid becomes a line.