This article is cited in 3 papers

Information solvability in multistage games with a finite set of players

Nikolai M. Slobozhanin

Faculty of Applied Mathematics and Control Processes, Saint-Petersburg State University, Saint-Petersburg

Abstract: Multistage games with separated dynamics are considered in the paper. The basis of extensive form dynamic game simulation is a definition of its information structure. J. von Neumann, G. Owen, H. W. Kuhn and others simulated information by means of information sets in their constructions. No doubt, this is a rigorous approach but it has an evident drawback of excessive generality. In the present paper information structure is simulated by means of information vector-functions of players. But apparently not any ordered according to players collection of information vector-functions corresponds to an adequate description of information structure process dynamics. In the paper the adequacy mentioned is defined by the concept of information solvability of an ordered information vector-function collection.

Keywords: multistage game, extensive game form, information vector-function, information solvability of an ordered collection of information vector-functions.

UDC: 519.83
BBK: 22.18