Notes on simultaneous-move games, and an exploration of the Stag Hunt

Some time ago, the design team of Dr. Wictz and I started discussing the book Games of Strategy by Dixit, Skeath, and Riley.  I wrote on a couple of topics:

• Games of Strategy (an overview of terminology) and
• Games with Sequential Moves

In this post, I'd like to address simultaneous-move games with a specific focus on pure discrete strategies. (We recorded our discussion on this topic in April of last year.)  I recall such games represented in my earliest readings on game theory in the form of a decision-payoff matrix.  In a two-player game in which each player makes a single decision from among a finite number of choices, without knowledge of the other player's decision, the decision-payoff matrix labels the rows with one player's options and the columns with the other player's options.  The corresponding cell for a given combination of decisions yields the payoff to both players.