Names for Games: Locating 2 × 2 Games†
AbstractPrisoner’s Dilemma, Chicken, Stag Hunts, and other two-person two-move (2 × 2) models of strategic situations have played a central role in the development of game theory. The Robinson–Goforth topology of payoff swaps reveals a natural order in the payoff space of 2 × 2 games, visualized in their four-layer “periodic table” format that elegantly organizes the diversity of 2 × 2 games, showing relationships and potential transformations between neighboring games. This article presents additional visualizations of the topology, and a naming system for locating all 2 × 2 games as combinations of game payoff patterns from the symmetric ordinal 2 × 2 games. The symmetric ordinal games act as coordinates locating games in maps of the payoff space of 2 × 2 games, including not only asymmetric ordinal games and the complete set of games with ties, but also ordinal and normalized equivalents of all games with ratio or real-value payoffs. An efficient nomenclature can contribute to a systematic understanding of the diversity of elementary social situations; clarify relationships between social dilemmas and other joint preference structures; identify interesting games; show potential solutions available through transforming incentives; catalog the variety of models of 2 × 2 strategic situations available for experimentation, simulation, and analysis; and facilitate cumulative and comparative research in game theory. View Full-Text
- Supplementary File 1:
Supplementary (PDF, 6720 KB)
Share & Cite This Article
Bruns, B.R. Names for Games: Locating 2 × 2 Games. Games 2015, 6, 495-520.
Bruns BR. Names for Games: Locating 2 × 2 Games. Games. 2015; 6(4):495-520.Chicago/Turabian Style
Bruns, Bryan R. 2015. "Names for Games: Locating 2 × 2 Games." Games 6, no. 4: 495-520.