Combinatorial structures to modeling simple games and applications

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 influ...

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1. Verfasser:	Molinero, Xavier
Format:	Tagungsbericht
Sprache:	eng
Schlagworte:	Combinacions (Matemàtica) Combinations Combinatorial structures Game theory Generating influence games Generating molecules Generating simple games Investigació operativa Jocs, Teoria de Matemàtiques i estadística Teoria de jocs Àrees temàtiques de la UPC
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creator	Molinero, Xavier
description	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.
doi_str_mv	10.1063/1.4996680
format	Conference Proceeding
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identifier	ISSN: 0094-243X
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source	Recercat; AIP Journals Complete
subjects	Combinacions (Matemàtica) Combinations Combinatorial structures Game theory Generating influence games Generating molecules Generating simple games Investigació operativa Jocs, Teoria de Matemàtiques i estadística Teoria de jocs Àrees temàtiques de la UPC
title	Combinatorial structures to modeling simple games and applications
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