The Two-Dimensional Asymmetric Gambler's Ruin Problem withnPlayers and Simulations
| Autor: | S. M. Hashemiparast, M. Sabzevari |
|---|---|
| Rok vydání: | 2012 |
| Předmět: |
Statistics and Probability
Actuarial science Future studies biology ComputingMilieux_PERSONALCOMPUTING Euros Ruin theory biology.organism_classification Discount points Modeling and Simulation Statistics Multi dimensional Gambler's ruin Mathematical economics Independence (probability theory) Mathematics |
| Zdroj: | Communications in Statistics - Simulation and Computation. 41:1895-1911 |
| ISSN: | 1532-4141 0361-0918 |
| DOI: | 10.1080/03610918.2011.624240 |
| Popis: | In this article, the asymmetric n-player gambler's ruin problem is considered, when the players use equal initial fortunes of d dollars and d euros, 1 ≤ d ≤ n + 1. In each round an unfair coin is tossed to decide the currency. The expected ruin time and the individual ruin probabilities are computed. It is proved that the ruin time and which player is ruined are independent events. Finally, some special games are simulated. The simulation results verify the validity of the proposed formulas. As an innovation, the present study makes a combination of the n-player and multi dimensional games which can be viewed as a starting point for future studies. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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