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Victoria: Beating the House Using the Principles of Statistics and Randomness

18 April 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This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.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 the algorithm - Victoria - an approach that demonstrates there are parameters φ, k, j considered optimal that guarantee the player will always have an advantage over the house in the sports betting field in the medium and long run with guaranteed satisfactory profits. After n Small Blocks (jn) and Intermediate Blocks (IBs) containing k independent events with the same probability p, we conclude that the cost-benefit ratio over the value in a sequence of independent events β (success block) > ζ (failure block) is always the case. Taking into account the possible impacts of Victoria on Decision Theory as well as Game Theory, a function η(Xt) called “Predictable Random Component” was also observed and presented. The η(Xt) function (or fv(Xt) in the context of VNAE) refers to the fact that within a game in which the randomness factor in a uniform distribution is crucial to it, any player who has advanced knowledge of randomness added to other additional actions, whether with the support of statistics, mathematical, physical operations and/or other cognitive actions, will be able to determine an optimal strategy whose results of the expected value of the player's payoff will always be positive regardless of what happens after n sequences determined by the player. In addition, the possibility of the existence of a new equilibrium was also observed, thus resulting in the Victoria-Nash Asymmetric Equilibrium (VNAE) theorization. [...]

Keywords

Randomness
Sports Betting
Game Theory
Decision Theory
Statistics
Probability Theory

Supplementary materials

Title
Description
Actions
Title
1.02 50 2 FV96
Description
φ = 1.02, k = 50 , j = 2
Actions
Title
1.04 33 3 FV43
Description
φ = 1.04, k = 33 , j = 3
Actions

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