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On topological games

Published online by Cambridge University Press:  24 October 2008

A. R. Pears
A. R. Pears
Affiliation:
Queen Elizabeth College, London
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Extract

1. A topological game is a game in which the positions are the points of a topological space; the set of possible moves from any such point varies continuously with the point. Play can start from any point of the space and at each point it is specified which of the players has the initiative. Play ends when a position is encountered at which the set of positions from which the player with the initiative can choose is empty. The payoff to each player depends on the set of positions met in the play. The notion of topological game is due to Berge (1), (2).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 1 , January 1965 , pp. 165 - 171
Copyright
Copyright © Cambridge Philosophical Society 1965

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References

REFERENCES

(1)Berge, C.Théorie générale des jeux(Paris, 1957).Google Scholar
(2)Berge, C. Topological games with perfect information. Contributions to the theory of games. III (Princeton, 1957), pp. 165–178.Google Scholar