
@inproceedings{liu2024_nfgtransformer,
    title={NfgTransformer: Equivariant Representation Learning for Normal-form Games},
    author={Siqi Liu and Luke Marris and Georgios Piliouras and Ian Gemp and Nicolas Heess},
    booktitle={The Twelfth International Conference on Learning Representations},
    year={2024},
    url={https://openreview.net/forum?id=4YESQqIys7}
}

@misc{marris2023_equilibrium_invariant_embedding_2x2_arxiv,
    title={Equilibrium-Invariant Embedding, Metric Space, and Fundamental Set of 2×2 Normal-Form Games},
    author={Luke Marris and Ian Gemp and Georgios Piliouras},
    year={2023},
    eprint={2304.09978},
    archivePrefix={arXiv},
    primaryClass={cs.GT},
    url = {https://arxiv.org/abs/2304.09978},
}

@article{bruns2015_names_for_games,
    author = {Bruns, Bryan Randolph},
    title = {Names for Games: Locating 2 × 2 Games},
    journal = {Games},
    volume = {6},
    year = {2015},
    number = {4},
    pages = {495--520},
    url = {https://www.mdpi.com/2073-4336/6/4/495},
    issn = {2073-4336},
    abstract = {Prisoner’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.},
    doi = {10.3390/g6040495}
}

@book{robinsonandgoforth2005_topology_of_2x2_games_book,
    author = {Robinson, David and Goforth, David},
    year = {2005},
    month = {01},
    pages = {},
    title = {The Topology of the 2x2 games: A New Periodic Table},
    doi = {10.4324/9780203340271}
}

@book{goforth2005_periodic_table_of_games,
    author = {Goforth, David and Robinson, David},
    year = {2005},
    month = {01},
    pages = {},
    title = {Dynamic Periodic Table of the 2 × 2 Games: User's Reference and Manual},
}

@article{borm1987_classification_of_2x2_games,
    title = "A classification of 2x2 bimatrix games",
    author = "P.E.M. Borm",
    note = "Pagination: 16",
    year = "1987",
    language = "English",
    volume = "29",
    pages = "69--84",
    journal = "Cahiers du Centre d'{\'E}tudes de Recherche Op{\'e}rationnelle",
    issn = "0008-9737",
    publisher = "Universit{\'e} libre de Bruxelles, Centre d'{\'e}tudes de recherche op{\'e}rationnelle",
    number = "1-2",
}
