Abstract
Language | English |
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Pages | 1-12 |
Number of pages | 12 |
Publication status | Published - 15 Jul 2019 |
Event | Applied category theory conference 2019 - Oxford, United Kingdom Duration: 15 Jul 2019 → 19 Jul 2019 http://www.cs.ox.ac.uk/ACT2019/ |
Conference
Conference | Applied category theory conference 2019 |
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Abbreviated title | ACT |
Country | United Kingdom |
City | Oxford |
Period | 15/07/19 → 19/07/19 |
Internet address |
Fingerprint
Keywords
- game theory
- strategy
- open games
Cite this
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Compositional game theory with mixed strategies : probabilistic open games using a distributive law. / Ghani, Neil; Kupke, Clemens; Lambert, Alasdair; Nordvall Forsberg, Fredrik.
2019. 1-12 Paper presented at Applied category theory conference 2019, Oxford, United Kingdom.Research output: Contribution to conference › Paper
TY - CONF
T1 - Compositional game theory with mixed strategies
T2 - probabilistic open games using a distributive law
AU - Ghani, Neil
AU - Kupke, Clemens
AU - Lambert, Alasdair
AU - Nordvall Forsberg, Fredrik
PY - 2019/7/15
Y1 - 2019/7/15
N2 - We extend the Open Games framework for compositional game theory to encompass also mixed strategies, making essential use of the discrete probability distribution monad. We show that the resulting games form a symmetric monoidal category, which can be used to compose probabilistic games in parallel and sequentially. We also consider morphisms between games, and show that intuitive constructions give rise to functors and adjunctions between pure and probabilistic open games.
AB - We extend the Open Games framework for compositional game theory to encompass also mixed strategies, making essential use of the discrete probability distribution monad. We show that the resulting games form a symmetric monoidal category, which can be used to compose probabilistic games in parallel and sequentially. We also consider morphisms between games, and show that intuitive constructions give rise to functors and adjunctions between pure and probabilistic open games.
KW - game theory
KW - strategy
KW - open games
UR - http://www.cs.ox.ac.uk/ACT2019/
M3 - Paper
SP - 1
EP - 12
ER -