Games of strategy may vary along the following axes:

Axis of variationCategory definitionsCategory examples
Strategic motivation / reward structureCooperation: all players benefit by aligning their actions; in practice, modeled by coordination problems.

Conflict (i.e., zero-sum): one player’s gain is another’s loss, no strategies that lead to mutual benefit or increased payoff for multiple players.

Mixed-motive: players can benefit from aligning actions but are also motivated by self-interest, meaning possibility of higher payoff for “defecting” when another player cooperates.
Cooperation: team games (players have identical payoffs); Stag Hunt

Conflict: Rock-Paper-Scissors, Matching Pennies

Mixed-motive: subtypes include social dilemmas, bargaining, and trust/reciprocity (see below).
Institutional context / rule structureCoordination problems: players receive higher payoff if they choose the same “courses of action”; multiple pure strategy Nash equilibria for when players choose matching strategies.

Bargaining problems: when multiple players experiencing a conflict of interest, or different outcome preferences, have the opportunity to agree on an outcome that achieves mutual benefit.

Social dilemmas: when players would achieve higher collective payoffs by cooperating, but may fail to do so due to conflicting strategies that achieve higher individual payoffs.

Trust and reciprocity problems: players exchange goods sequentially.
Coordination problems: Stag Hunt (a.k.a., assurance games)

Bargaining problems: Ultimatum Game, Nash bargaining problems

Social dilemmas: Prisoner’s Dilemma, Public Goods Game, Tragedy of the Commons

Trust and reciprocity problems: Trust Game, Gift Exchange Game