A deterministic insurance-purchasing game with nonconvex pricing cones exactly reproduces probabilistic channel coding (Shannon capacity) and also covers zero-error and adversarial channels.
Coding-logic correspondence: Turning information and communication networks into logical formulae via hypergraph Heyting algebra
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A Non-Probabilistic Game-Theoretic Information Theory Which Subsumes Probabilistic Channel Coding
A deterministic insurance-purchasing game with nonconvex pricing cones exactly reproduces probabilistic channel coding (Shannon capacity) and also covers zero-error and adversarial channels.