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Non-additive anonymous games
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Kozhan, Roman (2011) Non-additive anonymous games. International Journal of Game Theory, Volume 40 (Number 2). pp. 215-230. doi:10.1007/s00182-010-0235-9 ISSN 0020-7276.
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Official URL: http://dx.doi.org/10.1007/s00182-010-0235-9
Abstract
This paper introduces a class of non-additive anonymous games where agents are assumed to be uncertain (in the sense of Knight) about opponents' strategies and about the initial distribution over players' characteristics in the game. We model uncertainty by non-additive measures or capacities and prove the Cournot-Nash equilibrium existence theorem for this class of games. Equilibrium distribution can be symmetrized under milder conditions than in the case of additive games. In particular, it is not required for the space characteristics to be atomless under capacities. The set-valued map of the Cournot-Nash equilibria is upper-semicontinuous as a function of initial beliefs of the players for non-additive anonymous games.
Item Type: | Journal Article | ||||
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Subjects: | H Social Sciences > HB Economic Theory Q Science > QA Mathematics |
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Divisions: | Faculty of Social Sciences > Warwick Business School > Finance Group Faculty of Social Sciences > Warwick Business School |
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Library of Congress Subject Headings (LCSH): | Uncertainty, Simulation methods, Random walks (Mathematics), Noncooperative games (Mathematics), Game theory | ||||
Journal or Publication Title: | International Journal of Game Theory | ||||
Publisher: | Springer | ||||
ISSN: | 0020-7276 | ||||
Official Date: | 2011 | ||||
Dates: |
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Volume: | Volume 40 | ||||
Number: | Number 2 | ||||
Page Range: | pp. 215-230 | ||||
DOI: | 10.1007/s00182-010-0235-9 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Version or Related Resource: | Kozhan, R. (2008). Non-additive anonymous games. [Coventry] : Warwick Business School, Financial Econometrics Research Centre. (Working papers (Warwick Business School. Financial Econometrics Research Centre), no.08-04). http://wrap.warwick.ac.uk/id/eprint/1726 | ||||
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