Dynamics of Gambling: Origins of Randomness in Mechanical Systems

2009
ISBN: 978-3-642-26194-7
Verlag: Springer

Buch, Englisch, Band 792, 152 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 260 g

Reihe: Lecture Notes in Physics

Our everyday life is in?uenced by many unexpected (dif?cult to predict) events usually referred as a chance. Probably, we all are as we are due to the accumulation point of a multitude of chance events. Gambling games that have been known to human beings nearly from the beginning of our civilization are based on chance events. These chance events have created the dream that everybody can easily become rich. This pursuit made gambling so popular. This book is devoted to the dynamics of the mechanical randomizers and we try to solve the problem why mechanical device (roulette) or a rigid body (a coin or a die) operating in the way described by the laws of classical mechanics can behave in such a way and produce a pseudorandom outcome. During mathematical lessons in primary school we are taught that the outcome of the coin tossing experiment is random and that the probability that the tossed coin lands heads (tails) up is equal to 1/2. Approximately, at the same time during physics lessons we are told that the motion of the rigid body (coin is an example of suchabody)isfullydeterministic. Typically,studentsarenotgiventheanswertothe question Why this duality in the interpretation of the simple mechanical experiment is possible? Trying to answer this question we describe the dynamics of the gambling games based on the coin toss, the throw of the die, and the roulette run.

Zielgruppe

Research

Autoren/Hrsg.

Strzalko, Jaroslaw

Grabski, Juliusz

Kapitaniak, Tomasz

Perlikowski, Przemyslaw

Stefanski, Andrzej

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme

Inhaltsverzeichnis

Introduction.- Predictability in deterministic and random dynamical systems.- Mechanical randomizers - history, type of games, how fair they are.- Dynamical models.- Simulation results.- Why are mechanical randomizers predictable?.- Why can mechanical randomizers approximate random processes?- Nature of randomness in mechanical systems.