Application of the Sirius Code to UK 6/59 Lotto: An Empirical Analysis of Asymmetric Equilibrium and Sustainable Profitability

02 June 2025, Version 1
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

This study presents one of the many practical applications of the Sirius Code, this time implemented within the framework of the UK 6/59 lottery. Anchored in the principles of the Victoria-Nash Asymmetric Equilibrium (VNAE), the primary scenario analyzed involved partial coverage with concentrated density using a subset size of m = 16. This required only 8,008 tickets out of 45,057,474 possible combinations. Across 100 consecutive real draws (from draw 2069 to 3068), and accounting for free tickets, the strategy yielded a total net profit of £565,600, equivalent to an average of £5,656 per draw. In a more conservative scenario, excluding free tickets, the model still produced a net profit of £382,920, or approximately £3,829 per draw. Due to the linearity of expectation, even significant reductions in the number of tickets (e.g., 801 or 81) are expected to preserve a positive profit trend - albeit proportionally reduced - making the model potentially viable not only for syndicates but also for individual players. In this sense, lotteries may be reframed not merely as games of chance, but as strategic games in which elements of true randomness can be partially ‘tamed’ and shaped to one’s advantage through asymmetric structures.

Keywords

game theory
randomness
statistics
lotteries
stochastic games
Victoria-Nash Asymmetric Equilibrium
behavioral economics

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