Abstract
Parrondo's Paradox has pointed out that combined losing strategies can win. In Parrondo's Paradox games, the design of game B is critical. Currently there are mainly three versions, which depend on capital, history and space. We devise a new version of game B which depends on the capital parity and draw on the structure of the benefit matrix in the Prisoner's Dilemma game model. Theoretical analysis and computer simulation results both demonstrate the establishment of this paradox version.
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