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The Angel of Power 2 Wins

Published online by Cambridge University Press:  01 May 2007

ANDRÁS MÁTHÉ
ANDRÁS MÁTHÉ*
Affiliation:
Department of Analysis, Eötvös Loránd University, Pázmány Péter sétány 1/c, 1117 Budapest, Hungary (e-mail: [email protected]://amathe.web.elte.hu)
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Abstract

We solve Conway's Angel Problem by showing that the Angel of power 2 has a winning strategy.

An old observation of Conway is that we may suppose without loss of generality that the Angel never jumps to a square where he could have already landed at a previous time. We turn this observation around and prove that we may suppose without loss of generality that the Devil never eats a square where the Angel could have already jumped. Then we give a simple winning strategy for the Angel.

Type
Paper
Information
Combinatorics, Probability and Computing , Volume 16 , Issue 3 , May 2007 , pp. 363 - 374
Copyright
Copyright © Cambridge University Press 2007

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References

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