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Nonadditive anonymous games
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Kozhan, Roman (2008) Nonadditive anonymous games. Working Paper. Coventry: Warwick Business School, Financial Econometrics Research Centre. (Working papers (Warwick Business School. Financial Econometrics Research Centre)).

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Abstract
This paper introduces a class of nonadditive 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. These uncertainties are modelled by nonadditive measures or capacities. The CournotNash equilibrium existence theorem is proven for this class of games. It is shown that the 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 setvalued map of the CournotNash equilibria is uppersemicontinuous as a function of initial beliefs of the players for nonadditive anonymous games.
Item Type:  Working or Discussion Paper (Working Paper) 

Subjects:  H Social Sciences > HB Economic Theory Q Science > QA Mathematics 
Divisions:  Faculty of Social Sciences > Warwick Business School > Financial Econometrics Research Centre Faculty of Social Sciences > Warwick Business School > Finance Group Faculty of Social Sciences > Warwick Business School 
Library of Congress Subject Headings (LCSH):  Uncertainty, Simulation methods, Random walks (Mathematics), Noncooperative games (Mathematics), Game theory 
Series Name:  Working papers (Warwick Business School. Financial Econometrics Research Centre) 
Publisher:  Warwick Business School, Financial Econometrics Research Centre 
Place of Publication:  Coventry 
Date:  2008 
Number:  No.08 
Number of Pages:  28 
Status:  Not Peer Reviewed 
Access rights to Published version:  Open Access 
Realised As:  Kozhan, R. (2011). Nonadditive anonymous games. International Journal of Game Theory, 40(2), pp. 215230. http://wrap.warwick.ac.uk/id/eprint/41335 
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URI:  http://wrap.warwick.ac.uk/id/eprint/1726 
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