Players' information in extensive games
type: Item
instance of: scholarly article
title: Players' information in extensive games
zbMATH Open document ID: 0814.90136
DOI: 10.1016/0165-4896(92)90004-O
author: Giacomo Bonanno
published in: Mathematical Social Sciences
publication date: 1993-01-16T00:00:00Z
review text: An extensive game represents information available to any player when making a decision based on information sets. This paper attempts to formalize the amount of information which is available to the players at ``all'' decision nodes of the game tree. With every decision node and every player a subset of terminal nodes is associated under the information set constraints. The interpretation is that, if the node is reached, the player knows that only terminal nodes in the subset are possible. In this formulation, there is a freedom about how to define information available to every player at other player's nodes. Two definitions of information are given, which are considered as the minimum and maximum amounts of information available to the player. Such well- known notions as perfect recall, perfect information, and simultaneity are characterized in terms of the suggested definitions of information.
Mathematics Subject Classification ID: 91A06
Mathematics Subject Classification ID: 91A10
Mathematics Subject Classification ID: 91A40
zbMATH DE Number: 91760
zbMATH Keywords: extensive game
zbMATH Keywords: definitions of information
zbMATH Keywords: perfect recall
zbMATH Keywords: simultaneity
MaRDI profile type: Publication
cites work: Rational beliefs in extensive games
cites work: Information patterns and Nash equilibria in extensive games: I
cites work: Q5817864
cites work: Reexamination of the perfectness concept for equilibrium points in extensive games
full work available at URL: 0165-4896(92)90004-o
OpenAlex ID: W2094301346
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description: scientific article; zbMATH DE number 91760