Derandomization in Game-theoretic Probability

We give a general method for constructing a deterministic strategy of Reality from a randomized strategy in game-theoretic probability. The construction can be seen as derandomization in game-theoretic probability.Comment: 19 page

Van Lambalgen's Theorem for uniformly relative Schnorr and computable randomness

We correct Miyabe's proof of van Lambalgen's Theorem for truth-table Schnorr randomness (which we will call uniformly relative Schnorr randomness). An immediate corollary is one direction of van Lambalgen's theorem for Schnorr randomness. It has been claimed in the literature that this corollary (and the analogous result for computable randomness) is a "straightforward modification of the proof of van Lambalgen's Theorem." This is not so, and we point out why. We also point out an error in Miyabe's proof of van Lambalgen's Theorem for truth-table reducible randomness (which we will call uniformly relative computable randomness). While we do not fix the error, we do prove a weaker version of van Lambalgen's Theorem where each half is computably random uniformly relative to the other

A review of the Japanese longline fishery for tunas and billfishes in the Eastern Pacific Ocean, 1971-1980

ENGLISH: This report reviews the Japanese longline fishery for tunas and billfishes in the eastern Pacific Ocean during 1971-1980, extending the studies made by other investigators, which covered the 1956-1970 period. The spatial and temporal distributions of fishing effort, catch, apparent abundance, sexual maturity, and size composition are examined for each species. The deep longlining method is described and the hook rates for this gear and for conventional longline gear are compared. Some observations on the interaction of surface and longline gear are reported. SPANISH: Se examina en este informe la pesca palangrera japonesa de atunes y peces espada en el Océano Pacífico oriental durante 1971-1980, ampliando los estudios hechos por otros investigadores que incluían el período de 1956-1970. Para cada especie se examinan las distribuciones temporales y espaciales del esfuerzo de pesca, captura, abundancia aparente, madurez sexual y composición de talla. Se describe el método de los palangres profundos y se comparan los índices de captura por anzuelo de este arte y del arte convencional palangrero. Se presentan algunas observaciones sobre la interacción de las artes espipelágicas y las palangreras. (PDF contains 163 pages.