Strategic Form Games on Digraphs
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UNGUREANU, Valeriu. Strategic Form Games on Digraphs. In: Smart Innovation, Systems and Technologies, 1 martie 2018, Berlin. Berlin, Germania: Springer Science and Business Media Deutschland GmbH, 2018, Vol.89, pp. 167-197. ISSN 21903018. DOI: https://doi.org/10.1007/978-3-319-75151-1_8
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Smart Innovation, Systems and Technologies
Vol.89, 2018
Sesiunea "Smart Innovation, Systems and Technologies"
Berlin, Germania, 1 martie 2018

Strategic Form Games on Digraphs

DOI:https://doi.org/10.1007/978-3-319-75151-1_8

Pag. 167-197

Ungureanu Valeriu
 
Moldova State University
 
 
Disponibil în IBN: 18 decembrie 2021


Rezumat

The chapter deals with strategic form games on digraphs, and examines maximin solution concepts based on different types of digraph substructures Ungureanu (Computer Science Journal of Moldova 6 3(18): 313–337, 1998, [1]), Ungureanu (ROMAI Journal 12(1): 133–161, 2016, [2]). Necessary and sufficient conditions for maximin solution existence in digraph matrix games with pure strategies are formulated and proved. Some particular games are considered. Algorithms for finding maximin substructures are suggested. Multi-player simultaneous games and dynamical/hierarchical games on digraphs are considered too. 

Cuvinte-cheie
Directed graphs, Graph theory