Abstract
We investigate here several categories of strategic games and antagonistic situations that are known to admit potential functions, and are thus guaranteed to either possess pure Nash equilibria or to stabilize in some form of equilibrium in cases of stochastic potentials. Our goal is to indicate the generality of this method and to address its limits.
This work was supported by the project Algorithmic Game Theory, co-financed by the European Union (European Social Fund – ESF) and Greek national funds through the Operational Program “Education and Lifelong Learning” of the National Strategic Reference Framework (NSRF) – Research Funding Program: Thales, Investing in knowledge society through the European Social Fund, and by the EU FP7/2007-2013 (DG CONNECT – Communications Networks, Content and Technology Directorate General, Unit H5 – Smart Cities & Sustainability), under grant agreement no. 288094 (project eCOMPASS).
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Spirakis, P.G., Panagopoulou, P.N. (2013). Potential Functions in Strategic Games. In: Bulatov, A.A., Shur, A.M. (eds) Computer Science – Theory and Applications. CSR 2013. Lecture Notes in Computer Science, vol 7913. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38536-0_25
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DOI: https://doi.org/10.1007/978-3-642-38536-0_25
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