Combinatorial structures to modeling simple games and applications
Document typeConference report
PublisherAmerican Institute of Physics (AIP)
Rights accessOpen Access
We connect three different topics: combinatorial structures, game theory and chemistry. In particular, we establish the bases to represent some simple games, defined as influence games, and molecules, defined from atoms, by using combinatorial structures. First, we characterize simple games as influence games using influence graphs. It let us to modeling simple games as combinatorial structures (from the viewpoint of structures or graphs). Second, we formally define molecules as combinations of atoms. It let us to modeling molecules as combinatorial structures (from the viewpoint of combinations). It is open to generate such combinatorial structures using some specific techniques as genetic algorithms, (meta-)heuristics algorithms and parallel programming, among others.
CitationMolinero, X. Combinatorial structures to modeling simple games and applications. A: Mathematical Methods and Computational Techniques in Science and Engineering. "Mathematical methods and computational techniques in science and engineering: Cambridge, UK, 24-26 February 2017". Cambridge: American Institute of Physics (AIP), 2017, p. 020023-1-020023-6.