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On ”Games and Dynamic Games” by A. Haurie, J.B. Krawczyk and G. Zaccour

Piotr Więcek — 2013

Mathematica Applicanda

Although the title, ”Games and Dynamic Games"  of the new book by Alain Haurie, Jacek B. Krawczyk and Georges Zaccour suggests just another textbook on general game theory, with a little more stress made on dynamic aspect of games, the book appears to be something of novelty both in the scope and the treatment of the material. From the very first chapters of the book, it is clear that we will not be given another standard course of game theory, and that the dynamics of games will be the main issue....

Simple equilibria in finite games with convexity properties

Tadeusz RadzikPiotr Więcek — 2015

Applicationes Mathematicae

This review paper gives a characterization of non-coalitional zero-sum and non-zero-sum games with finite strategy spaces and payoff functions having some concavity or convexity properties. The characterization is given in terms of the existence of two-point Nash equilibria, that is, equilibria consisting of mixed strategies with spectra consisting of at most two pure strategies. The structure of such simple equilibria is discussed in various cases. In particular, many of the results discussed can...

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