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On strategic complementarities in discontinuous games with totally ordered strategies
Journal article   Peer reviewed

On strategic complementarities in discontinuous games with totally ordered strategies

Pavlo Prokopovych and Nicholas C. Yannelis
Journal of mathematical economics, Vol.70, pp.147-153
05/01/2017
DOI: 10.1016/j.jmateco.2017.02.007

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Abstract

This paper studies the existence of a pure strategy Nash equilibrium in games with strategic complementarities where the strategy sets are totally ordered. By relaxing the conventional conditions related to upper semicontinuity and single crossing, we enlarge the class of games to which monotone techniques are applicable. The results are illustrated with a number of economics-related examples.
Better-reply security Directional transfer single crossing Discontinuous game Increasing correspondence Strategic complementarities

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