Translating Extensive Form Games to Open Games with Agency
Computer Science and Game Theory
2022-11-04 v2 Multiagent Systems
Category Theory
Abstract
We show open games cover extensive form games with both perfect and imperfect information. Doing so forces us to address two current weaknesses in open games: the lack of a notion of player and their agency within open games, and the lack of choice operators. Using the former we construct the latter, and these choice operators subsume previous proposed operators for open games, thereby making progress towards a core, canonical and ergonomic calculus of game operators. Collectively these innovations increase the level of compositionality of open games, and demonstrate their expressiveness.
Keywords
Cite
@article{arxiv.2105.06763,
title = {Translating Extensive Form Games to Open Games with Agency},
author = {Matteo Capucci and Neil Ghani and Jérémy Ledent and Fredrik Nordvall Forsberg},
journal= {arXiv preprint arXiv:2105.06763},
year = {2022}
}
Comments
In Proceedings ACT 2021, arXiv:2211.01102