Learning in General Games with Nature’s Moves
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-19
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper investigates simultaneous learning about both nature and others’ actions in repeated games and identifies a set of sufficient conditions for which Harsanyi’s doctrine holds.
Players have a utility function over infinite histories that are continuous for the sup-norm topology.
Nature’s drawing after any history may depend on any past actions.
Provided that (1) every player maximizes her expected payoff against her own beliefs, (2) every player updates her beliefs in a Bayesian manner, (3) prior beliefs about both nature and other players’ strategies have a grain of truth, and (4) beliefs about nature are independent of actions chosen during the game, we construct a Nash equilibrium, that is, realization-equivalent to the actual plays, where Harsanyi’s doctrine holds.
Those assumptions are shown to be tight.
American Psychological Association (APA)
Leoni, Patrick L.. 2014. Learning in General Games with Nature’s Moves. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-472774
Modern Language Association (MLA)
Leoni, Patrick L.. Learning in General Games with Nature’s Moves. Journal of Applied Mathematics No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-472774
American Medical Association (AMA)
Leoni, Patrick L.. Learning in General Games with Nature’s Moves. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-472774
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472774