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arXiv · 2012.06768

Playing through a noisy channel (and knowing it)

Nicolas Capitelli·Melina Privitelli
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Abstract

In this note we discuss a theory of combinatorial games that involve transmitting the moves through a noisy channel that can introduce errors during the transmission. Players are aware of this interference and incorporate this variable into the game: the valid move is the received one, regardless of whether it is the other player's sent move (as long as it is a valid move in the original game; otherwise, a retransmission is requested). Players know the probability of introducing an error through communication and can play a non-optimal (but valid) move that maximizes their chances of winning. We present some examples and provide the basic definitions and results of this type of games.

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Nicolas Capitelli, Melina Privitelli. 2020-12-12. Playing through a noisy channel (and knowing it). https://arxiv.org/abs/2012.06768

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