Scientific publications

Mazalov, V.V., Ivashko A.A.

Harmonic Numbers in Gambler's Ruin Problem

// Mathematical Optimization Theory and Operations Research. MOTOR 2023. Lecture Notes in Computer Science, vol 13930. Springer, Cham, 2023. Pp. 278-287

Keywords: Random walk, Gambler’s ruin problem, Ruin probability, Reflection principle

The gambler’s ruin problem is studied. At each of n steps, the probability that the player wins at the next step depends on the win/lose ratio in previous steps. The player’s payoff and the asymptotic formula for large game durations were determined. The numerical results of payoff simulation for different n values are reported.

DOI: 10.1007/978-3-031-35305-5_19

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Last modified: July 25, 2023