Risk and reward : the science of casino blackjack /: the science of casino blackjack. ([2018])

• Record Type: Book
• Further Information: Note: N. Richard Werthamer.
• Authors: Werthamer, N. Richard
• Contents: Intro; Preface; Introduction; Accessing Interactivity; Contents; List of Figures; List of Tables; Part I Strategy; 1 The Game; 1.1 History of Casino Blackjack and Its Analysis; 1.2 Rules, Procedures, and Terminology; 2 Playing the Hand; 2.1 Basic Strategy; 2.1.1 Expected Return with Variant Rules and Procedures; 2.1.2 Expected Return vs. Return on Investment; 2.2 Composition-Dependent Play; 3 Tracking the Cards; 3.1 Linear Counts; 3.2 Choosing a Counting Vector; 3.3 Unbalanced Counting Vectors; 3.4 Relating the True Count to the Expected Return; 4 Betting 4.1 Yield, Risk, and Optimal Bet Strategies4.1.1 Factors Influencing Performance; 4.1.2 Bet Size in Relation to True Count; 4.1.3 Other Criteria; 4.2 Betting Proportional to Current Capital; 4.3 Multiple Hands; 4.4 Back-Counting and Table-Hopping; 5 Playing the Hand When the Count and Bet Vary; 5.1 Play Strategies That Vary with the Count; 5.1.1 Reconsidering the Counting Vector; 5.1.2 Count Dependence of the Play Parameters; 5.1.3 The Insurance Bet; 5.2 Counter Basic Strategy for the Variable Bettor; 6 Synthesis and Observations; 6.1 A Practical, Nearly Optimal Strategy 6.1.1 Recreational Player6.1.2 Competitive Player; 6.2 Blackjack as a Recreation vs. a Profession; Part II Analysis; 7 Play Strategies; 7.1 Basic Strategy, Large Number of Decks; 7.1.1 Analytical Framework; 7.1.2 Expected Player Return; 7.1.3 Frequency of Tied Hands; 7.1.4 Multiple Simultaneous Hands: Return, Variance, and Covariance; 7.1.5 Expected Number of Cards Used per Round; 7.2 Basic Strategy, Small Number of Decks; 7.2.1 Analytical Framework; Reordering Theorem; 7.2.2 Expected Return and Optimal Basic Strategy, vs. Number of Decks; 7.2.3 Surrender; Insurance 7.3 Play Parameters Dependent on Identities of Initial Cards7.3.1 Comparison with Previous Authorities; 8 Card Counting; 8.1 Analytical Framework; 8.1.1 Asymptotic Distribution; 8.1.2 Expected Return; Invariance Theorem; 8.1.3 Hermite Series; 8.2 Expected Return at Nonzero Depth; 8.3 Optimizing the Counting Vectors; 8.4 Optimizing the Counting Vectors: Many-Cards Limit; 8.5 Computation of the Derivatives of the Expected Return; 8.6 Unbalanced Counts; Appendix 1: Asymptotic Distribution of Card Likelihoods; Appendix 2: Eigenmodes; 9 Bet Strategies; 9.1 Risk and Capitalization 9.1.1 Risk in a Game with Fixed Return9.1.2 Optimal Betting When Return Fluctuates: Expected Capital and Risk; 9.1.3 Connections with Finance; 9.1.4 Distribution of Capital; 9.1.5 Properties of the Risk and Expected Capital Expressions; 9.1.6 Optimal Betting When Return Fluctuates: Bet Strategy; 9.1.7 Yield When the Bet Size Is Discrete; Wong Benchmark Betting; 9.2 Betting Proportional to Current Capital; 9.2.1 Mixed Additive and Multiplicative Betting; 9.3 Betting When Playing Multiple Simultaneous Hands; 9.4 Back-Counting and Table-Hopping; 9.4.1 Entry; 9.4.2 Entry and Exit
• Edition: Second edition
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 795.4/23; Science; Blackjack (Game) -- Handbooks, manuals, etc; Blackjack (Game) -- Mathematical models; Technology; Mathematics; Statistics; GAMES / Gambling / General; Blackjack (Game); Mathematics -- General; Mathematics -- Applied; Business & Economics -- Statistics; Popular mathematics; Applied mathematics; Probability & statistics; Science -- Applied Sciences; Mathematics & science; Science, Humanities and Social Sciences, multidisciplinary; Applied Science, multidisciplinary; Popular Science in Mathematics; Applications of Mathematics; Statistics for Business/Economics/Mathematical Finance/Insurance; Electronic books; Handbooks and manuals
• Languages: English
• ISBNs: 9783319913858; 3319913859
• Related ISBNs: 9783319913841; 3319913840
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (EBSCO, viewed July 25, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.