04971nam 22008775 450 991013999910332120200701043012.01-280-38397-697866135618933-642-03960-X10.1007/978-3-642-03960-7(CKB)1000000000821476(SSID)ssj0000372752(PQKBManifestationID)11302044(PQKBTitleCode)TC0000372752(PQKBWorkID)10423005(PQKB)11427893(DE-He213)978-3-642-03960-7(MiAaPQ)EBC3065011(PPN)14904254X(EXLCZ)99100000000082147620100301d2009 u| 0engurnn|008mamaatxtccrDynamics of Gambling: Origins of Randomness in Mechanical Systems[electronic resource] /by Jaroslaw Strzalko, Juliusz Grabski, Przemyslaw Perlikowski, Andrzej Stefanski, Tomasz Kapitaniak1st ed. 2009.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2009.1 online resource (X, 152 p. 94 illus.) Lecture Notes in Physics,0075-8450 ;792Bibliographic Level Mode of Issuance: Monograph3-642-03959-6 Includes bibliographical references and index.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.This monograph presents a concise discussion of the dynamics of mechanical randomizers (coin tossing, die throw and roulette). The authors derive the equations of motion, also describing collisions and body contacts. It is shown and emphasized that, from the dynamical point of view, outcomes are predictable, i.e. if an experienced player can reproduce initial conditions with a small finite uncertainty, there is a good chance that the desired final state will be obtained. Finally, readers learn why mechanical randomizers can approximate random processes and benefit from a discussion of the nature of randomness in mechanical systems. In summary, the book not only provides a general analysis of random effects in mechanical (engineering) systems, but addresses deep questions concerning the nature of randomness, and gives potentially useful tips for gamblers and the gaming industry.Lecture Notes in Physics,0075-8450 ;792Mathematical physicsVibrationDynamical systemsDynamicsMechanicsErgodic theoryStatisticsĀ Game theoryTheoretical, Mathematical and Computational Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19005Vibration, Dynamical Systems, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/T15036Classical Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21018Dynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XStatistics for Engineering, Physics, Computer Science, Chemistry and Earth Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/S17020Game Theory, Economics, Social and Behav. Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13011Mathematical physics.Vibration.Dynamical systems.Dynamics.Mechanics.Ergodic theory.StatisticsĀ .Game theory.Theoretical, Mathematical and Computational Physics.Vibration, Dynamical Systems, Control.Classical Mechanics.Dynamical Systems and Ergodic Theory.Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.Game Theory, Economics, Social and Behav. Sciences.530.15923Strzalko Jaroslawauthttp://id.loc.gov/vocabulary/relators/aut609157Grabski Juliuszauthttp://id.loc.gov/vocabulary/relators/autPerlikowski Przemyslawauthttp://id.loc.gov/vocabulary/relators/autStefanski Andrzejauthttp://id.loc.gov/vocabulary/relators/autKapitaniak Tomaszauthttp://id.loc.gov/vocabulary/relators/autBOOK9910139999103321Dynamics of Gambling1112730UNINA