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We prove an Erdos-Feller-Kolmogorov-Petrowsky law of the iterated logarithmfor self-normalized martingales. Our proof is given in the framework of thegame-theoretic probability of Shafer and Vovk. As many other game-theoreticproofs, our proof is self-contained and explicit.

Erdos-Feller-Kolmogorov-Petrowsky law of the iterated logarithm for self-normalized martingales: a game-theoretic approach