Game theory of open games
- Towards compositional game theory – Jules Hedges. PhD thesis, Queen Mary University of London, 2016. [pdf, errata]
- Compositional game theory – Neil Ghani, Jules Hedges, Viktor Winschel and Philipp Zahn. In Proceedings of Logic in Computer Science (LiCS) 2018. ACM, 2018. [link, arXiv]
- A compositional treatment of iterated open games – Neil Ghani, Clemens Kupke, Alasdair Lambert and Fredrik Nordvall Forsberg. In An observant mind: Essays dedicated to Don Sannella on the occasion of his 60th birthday, Theoretical Computer Science 741:48-57, 2018. [link, arXiv]
- Compositional game theory with mixed strategies – Neil Ghani, Clemens Kupke, Alasdair Lambert and Fredrik Nordvall Forsberg. Preprint, 2019. [pdf]
Applications of open games
- Compositionality and string diagrams for game theory – Jules Hedges, Evguenia Sprits, Viktor Winschel and Philipp Zahn. Technical report, 2016. [arXiv]
- Towards functorial language-games – Jules Hedges and Martha Lewis. In Proceedings of Compositional Approaches for Physics, NLP and Social Sciences (CAPNS) 2018. Electronic Proceedings in Theoretical Computer Science 283:89–102, 2018. [link]
- From open learners to open games – Jules Hedges. Technical report, 2019. [arXiv]
Category theory of open games
- Coherence for lenses and open games – Jules Hedges. Preprint, 2017. [arXiv]
- Morphisms of open games – Jules Hedges. In Proceedings of Mathematical Foundations of Programming Semantics (MFPS) 2018. Electronic Notes in Theoretical Computer Science 341:151–177, 2018. [link, arXiv]
- The game semantics of game theory – Jules Hedges. Preprint, 2019. [arXiv]
- Compositional game theory, compositionally – Robert Atkey, Bruno Gavranović, Neil Ghani, Clemens Kupke, Jérémy Ledent and Fredrik Nordvall Forsberg. Preprint, 2020. [link]
Selection functions
- Sequential games and optimal strategies – Martín Escardó and Paulo Oliva. In Proceedings of the Royal Society A 467(2130), 2011. [link, pdf]
- Computing Nash equilibria of unbounded games – Martín Escardó and Paulo Oliva. In Turing-100. The Turing Centenary. EPiC Series in Computing 10:53-65, 2012. [link, pdf]
- Selection equilibria of higher-order games – Jules Hedges, Paulo Oliva, Evguenia Sprits, Viktor Winschel and Philipp Zahn. In Proceedings of Practical Aspects of Declarative Languages (PADL) 2017. Lecture Notes in Computer Science 10137:136-151, 2017. [link, pdf]
- Higher-order decision theory – Jules Hedges, Paulo Oliva, Evguenia Shprits, Viktor Winschel and Philipp Zahn. In Algorithmic Decision Theory (ADT) 2017. Lectures Notes in Artificial Intelligence 10576:241-254, 2017. [link, pdf]
- Sequential games and nondeterministic selection functions – Joe Bolt, Jules Hedges and Philipp Zahn. Preprint, 2018. [arXiv]
Coalgebraic game theory
- Coalgebraic analysis of subgame-perfect equilibria in infinite games without discounting – Samson Abramsky and Viktor Winschel. In Mathematical Structures in Computer Science 27, Computing with Lambda-terms. A Special Issue Dedicated to Corrado Böhm for his 90th Birthday, 751-761, 2017. [link, arXiv]
- A compositional coalgebraic semantics of strategic games – Achim Blumensath and Viktor Winschel. Technical report, 2017. [arXiv]
- Long-term values in Markov decision processes, (co)algebraically – Frank Feys, Helle Hvid Hansen and Lawrence Moss. In Proceedings of Coalgebraic Methods in Computer Science (CMCS) 2018. Lecture Notes in Computer Science 11102:78-99, 2018. [link, pdf]
Other compositional game theory
- Games for controls – Krishnendu Chatterjee, Radha Jagadeesan and Corin Pitcher. In Proceedings of Computer Security Foundations Workshop (CSFW) 2006. IEEE, 2006. [link]
- A semantical approach to equilibria and rationality – Dusko Pavlovic. In Proceedings of Algebra and Coalgebra in Computer Science (CALCO) 2009. Lecture Notes in Computer Science 5728:317-334, 2009. [arXiv]
- From winning strategy to Nash equilibrium – Stéphane le Roux. In Mathematical Logic Quarterly 60(4-5):354-371, 2014. [link, arXiv]
- Equilibria of concurrent games on event structures – Julian Gutierrez and Michael Wooldridge. In Proceedings of Logic in Computer Science (LiCS) 2014. ACM, 2014. [link, pdf]
Jules Hedges 