Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/197184 
Year of Publication: 
2017
Citation: 
[Journal:] Theoretical Economics [ISSN:] 1555-7561 [Volume:] 12 [Issue:] 1 [Publisher:] The Econometric Society [Place:] New Haven, CT [Year:] 2017 [Pages:] 79-108
Publisher: 
The Econometric Society, New Haven, CT
Abstract: 
This paper studies the existence of equilibrium solution concepts in a large class of economic models with discontinuous payoff functions. The issue is well understood for Nash equilibria, thanks to Reny's better-reply security condition ( Reny 1999) and its recent improvements (Barelli and Meneghel 2013, McLennan et al. 2011, Reny 2009, 2011). We propose new approaches, related to Reny's work, and obtain tight conditions for the existence of approximate equilibria and of sharing rule solutions in pure and mixed strategies ( Simon and Zame 1990 ). As byproducts, we prove that many auction games with correlated types admit an approximate equilibrium, and that many competition models have a sharing rule solution.
Subjects: 
Discontinuous games
better-reply security
sharing rules
approximate equilibrium
Reny equilibrium
strategic approximation
auctions
timing games
JEL: 
C02
C62
C72
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by-nc Logo
Document Type: 
Article

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