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arXiv · 2002.09942

How Good Is a Strategy in a Game With Nature?

Arnaud Carayol·Olivier Serre
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Abstract

We consider games with two antagonistic players --- \'Elo\"ise (modelling a program) and Ab\'elard (modelling a byzantine environment) --- and a third, unpredictable and uncontrollable player, that we call Nature. Motivated by the fact that the usual probabilistic semantics very quickly leads to undecidability when considering either infinite game graphs or imperfect-information, we propose two alternative semantics that leads to decidability where the probabilistic one fails: one based on counting and one based on topology.

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Arnaud Carayol, Olivier Serre. 2020-02-23. How Good Is a Strategy in a Game With Nature?. https://doi.org/10.1145/3377137

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