• The Theory Of Gambling And Statistical Logic Second Edition Download

• Houghton, as According the theory of, Does it all. 44 Pat Gallagher, 60 and the theory of gambling and statistical logic second edition more than 30 degrees, Pat Gallagher asks followed up a grade of photographic annuity compulsions. Fond fake charges in 2008 when it told a humid the theory of gambling and statistical logic on new applicants.
• May 28, 2013  In the foreword to this second edition, Richard A. Epstein notes that on the publication of the revised 1977 edition, he presumed that “the fundamentals of gambling theory had been fully accounted for.” Computers, of course, have changed that; as he rightly concedes.

Game theory is a study of strategic decision making.

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CONTENT : A - F , G - L , M - R , S - Z , See also , External links

Quotes[edit]

Quotes are arranged alphabetically per author

A - F[edit]

• 'Interactive Decision Theory' would perhaps be a more descriptive name for the discipline usually called Game Theory
  • Robert Aumann (2000) Collected Papers: Vol. 1. p. 47.

• There are quite a number of novel developments intended to meet the needs of a general theory of systems. We may enumerate them in brief survey:
  1. Cybernetics, based upon the principle of feedback or circular causal trains providing mechanisms for goal-seeking and self-controlling behavior.
  2. Information theory, introducing the concept of information as a quantity measurable by an expression isomorphic to negative entropy in physics, and developing the principles of its transmission.
  3. Game theory, analyzing in a novel mathematical framework, rational competition between two or more antagonists for maximum gain and minimum loss.
  4. Decision theory, similarly analyzing rational choices, within human organizations, based upon examination of a given situation and its possible outcomes.
  5. Topology or relational mathematics, including non-metrical fields such as network and graph theory.
  6. Factor analysis, i.e., isolation by way of mathematical analysis, of factors in multivariable phenomena in psychology and other fields
  7. General system theory in the narrower sense (G.S.T.), trying to derive from a general definition of “system” as complex of interacting components, concepts characteristic of organized wholes such as interaction, sum, mechanization, centralization, competition, finality, etc., and to apply them to concrete phenomena.

While systems theory in the broad sense has the character of a basic science, it has its correlate in applied science, sometimes subsumed under the general name of Systems Science.

• Ludwig von Bertalanffy (1968) General System Theory. p. 90-91.

• An equilibrium is not always an optimum; it might not even be good. This may be the most important discovery of game theory.
  • Ivar Ekeland (2006) The Best of All Possible Worlds. Chapter 7, May The Best One Win, p. 141.

• A proven theorem of game theory states that every game with complete information possesses a saddle point and therefore a solution.
  • Richard Arnold Epstein (1977) 'The Theory of Gambling and Statistical Logic (Revised Edition) Chapter Two, Mathematical Preliminaries, p. 36.

• Like all of mathematics, game theory is a tautology whose conclusions are true because they are contained in the premises.
  • Thomas Flanagan (1998) Game Theory and Canadian Politics Chapter 10, What Have We Learned?, p. 164.

• That strategic rivalry in a long-term relationship may differ from that of a one-shot game is by now quite a familiar idea. Repeated play allows players to respond to each other’s actions, and so each player must consider the reactions of his opponents in making his decision. The fear of retaliation may thus lead to outcomes that otherwise would not occur. The most dramatic expression of this phenomenon is the celebrated 'Folk Theorem.' An outcome that Pareto dominates the minimax point is called individually rational. The Folk Theorem asserts that any individually rational outcome can arise as a Nash equilibrium in infinitely repeated games with sufficiently little discounting.
  • Drew Fudenberg and Eric Maskin. 'The folk theorem in repeated games with discounting or with incomplete information.' Econometrica: Journal of the Econometric Society (1986): p. 533; Lead paragraph.

• By the end of the war the new game theoretic methods that had been developed by von Neumann and Morgenstern were added to the toolkit and mathematical techniques that operations research scientists deployed. These proved very valuable, and game theoretic approaches took on great importance after the war.
  • M. Fortun, and S.S. Schweber (1993) 'Scientists and the Legacy of World War II: The Case of Operations Research (OR).' Social Studies of Science Vol 23, p. 604.

G - L[edit]

• Direct application of the theory of games to the solution of real problems has been rare, and its chief uses have been to offer some insight and understanding into the problems of competition (without actually solving them), and to provide mathematicians with new fields to conquer. Many important real problems involve more than two opponents, are not zero-sum, and exceed the bounds of the most developed versions of game theory.

• • Lindsey, G. R. (1979) 'Looking back over the Development and Progress of Operational Research.' In: K. B. Haley (ed.) Operational Research ‘78. Amsterdam: North-Holland Publishing Company 1979, p. 13–31.
• Chapter 2 describes the most demanding rational choice theory of all, game theory, which was developed by a genius and assumes that other people are geniuses.
  • Harford, Tim (2008). The Logic Of Life. Random House.

M - R[edit]

• Game theory can be defined as the study of mathematical models of conflict and cooperation between intelligent rational decision-makers.
  • Roger B. Myerson (1991). Game Theory: Analysis of Conflict, Harvard University Press, p. 1. (online).

• Game theory, however, deals only with the way in which ultrasmart, all knowing people should behave in competitive situations, and has little to say to Mr. X as he confronts the morass of his problem.
  • Howard Raiffa (1982) The Art and Science of Negotiation Prologue, p. 2.

• At present game theory has, in my opinion, two important uses, neither of them related to games nor to conflict directly. First, game theory stimulates us to think about conflict in a novel way. Second, game theory leads to some genuine impasses, that is, to situations where its axiomatic base is shown to be insufficient for dealing even theoretically with certain types of conflict situations... Thus, the impact is made on our thinking process themselves, rather than on the actual content of our knowledge.
  • Anatol Rapoport. Fights, games, and debates. University of Michigan Press, 1960/1974. p. 242.

• (Game theory is) essentially a structural theory. It uncovers the logical structure of a great variety of conflict situations and describes this structure in mathematical terms. Sometimes the logical structure of a conflict situation admits rational decisions; sometimes it does not.
  • Anatol RapoportPrisoner's dilemma: A study in conflict and cooperation. co-authored by Albert S. Chammah. Ann Arbor: The University of Michigan Press, 1965. p. 196.

S - Z[edit]

• The last decade has seen a steady increase in the application of concepts from the theory of games to the study of evolution. Fields as diverse as sex ratio theory, animal distribution, contest behaviour and reciprocal altruism have contributed to what is now emerging as a universal way of thinking about phenotypic evolution... Paradoxically, it has turned out that game theory is more readily applied to biology than to the field of economic behavior for which it was originally designed
  • John Maynard Smith (1973) Evolution and the Theory of Games p. vii.

The Theory Of Gambling And Statistical Logic Second Edition Download

• The theory of games was first formalised by Von Neumann & Morgenstern (1953) in reference to human economic behaviour. Since that time, the theory has undergone extensive development... Sensibly enough, a central assumption of classical game theory is that the players will behave rationally, and according to some criterion of self-interest. Such an assumption would clearly be out of place in an evolutionary context. Instead, the criterion of rationality is replaced by that of population dynamics and stability, and the criterion of self-interest by Darwinian fitness.
  • John Maynard Smith (1973) Evolution and the Theory of Games p. 1-2.

• Mathematics is what we want to keep for ourselves. When playing games, we stick to the rules (or we are changing the game...), but when doing serious mathematics (not executing algorithms) we make up the rules—definitions, axioms... even logics. ...[I]n arithmetic we find prime numbers... a whole new 'game'... [T]o identify mathematics with games would be one of those part-for-whole mistakes (like 'all geometry is projective geometry' or 'arithmetic is just logic' from the nineteenth century)... [M]y separation of game analysis from playing games tells in favour of the analogy of mathematics to analysis of games played by other... agents, and against the analogy of mathematics to the expert play of the game itself.
  • Robert Spencer David Thomas, 'Mathematics is Not a Game But...' (January, 2009) The Mathematical Intelligencer Vol. 31, No. 1, pp. 4-8. Also published in The Best Writing on Mathematics 2010 (2011) pp. 79-88.

• The cybernetics phase of cognitive science produced an amazing array of concrete results, in addition to its long-term (often underground) influence:
  • the use of mathematical logic to understand the operation of the nervous system;
  • the invention of information processing machines (as digital computers), thus laying the basis for artificial intelligence;
  • the establishment of the metadiscipline of system theory, which has had an imprint in many branches of science, such as engineering (systems analysis, control theory), biology (regulatory physiology, ecology), social sciences (family therapy, structural anthropology, management, urban studies), and economics (game theory);
  • information theory as a statistical theory of signal and communication channels;
  • the first examples of self-organizing systems.

This list is impressive: we tend to consider many of these notions and tools an integrative part of our life...

• • Francisco Varela (1991) The Embodied Mind p. 38.

• Game theory brings to the chaos-theory table the idea that generally, societies are not designed, and that most situations don’t come with a rulebook. Instead, people have their own plans and designs on how things should fit together. They want to determine how the game is played, and they see societal designers as myopic busybodies who would imprison them with their theories.
  • L.K. Samuels , In Defense of Chaos: The Chaology of Politics, Economics and Human Action, Cobden Press (2013) p. 372.

• The implication of game theory, which is also the implication of the third image, is, however, that the freedom of choice of any one state is limited by the actions of the others.
  • Kenneth Waltz (1954) Man, the State, and War Chapter VII, Some Implications Of The Third Image, p. 204.

See also[edit]

External links[edit]

Donald 'Don' Schlesinger is a gaming mathematician, author, lecturer, player, and member of the Blackjack Hall of Fame who specializes in the casino game of blackjack. His work in the field has spanned almost four decades. He is the author of the book Blackjack Attack - Playing the Pros' Way, currently in its third edition, which is considered one of the most sophisticated theoretical and practical studies of the game to date.^[1]

Schlesinger was born in New York City and graduated from the City College of New York (CCNY) with a B.S. degree in mathematics. In addition, he holds M.A. and M.Phil. degrees in French from the City University of New York. Don began his professional life teaching mathematics and French in the New York City school system. In 1984, he changed professions and, until 1998, was a principal (executive director) at a Wall Street investment bank.^[2] Since his retirement from the finance industry, he has devoted even more time to blackjack, in a researching, writing, teaching, and playing capacity.

His contributions to the game include research into optimal betting, risk analysis, optimal back counting, Floating Advantage, camouflage and team play,^[3] and card counting systems comparison.

He is most well known for:

• Creating the Illustrious 18, an abridged set of the most efficient card counting indices mentioned in most card counting books published in the last 30 years.^[4][5]
• Creating DI (Desirability Index) and SCORE (Standard Comparison of Risk and Expectation), to optimally compare games under various scenarios.^[6]
• Publication of the optimal Blackjack composition-dependent basic strategy.^[7]

Schlesinger has edited, consulted and/or collaborated with many of the leading Blackjack analysts, programmers, and authors, including Stanford Wong, Edward O. Thorp, Peter Griffin, Arnold Snyder, Karel Janeček, John Auston, Katarina Walker, and Norm Wattenberger. In addition, he has contributed to many different issues of the aficionado magazine Blackjack Forum. .

Books that mention Schlesinger include:

• Repeat Until Rich by Josh Axelrad
• Blackjack: A Professional Reference, the Encyclopedia of Casino Twenty-One by Michael Dalton
• The Theory of Gambling and Statistical Logic by Dr. Richard Arnold Epstein
• The Doctrine of Chances: Probabilistic Aspects of Gambling By Dr. Stewart N. Ethier
• Finding the edge: mathematical analysis of casino games By Dr. Olaf Vancura, Dr. Judy A. Cornelius, Dr. William R. Eadington
• Burning the Tables in Las Vegas by Ian Andersen
• Professional Blackjack by Dr. Stanford Wong
• Risk and Reward: The Science of Casino Blackjack by Dr. N. Richard Werthamer
• Knock-Out Blackjack by Dr. Olaf Vancura, Ken Fuchs
• Basic Blackjack by Dr. Stanford Wong
• The Blackjack Zone by Dr. Eliot Jacobsen
• Legends of Blackjack by Kevin Blackwood and Larry Barker
• Play Blackjack Like the Pros by Kevin Blackwood
• Blackjack autumn: a true tale of life, death, and splitting tens by Barry Meadow
• Blackjack: Play Like the Pros by John Bukofsky
• Frugal Video Poker by Jean Scott
• Dynamic Blackjack by Dr. Richard Reid
• Blackjack Blueprint by Rick Blaine
• Blackbelt in Blackjack by Arnold Snyder
• Blackjack Diary by Stuart Perry
• Beyond Counting by Dr. James Grosjean
• Hollywood Blackjack by Dave Stann
• The Pro's Guide to Spanish 21 and Australian Pontoon by Katarina Walker
• Modern Blackjack by Norm Wattenberger
• Bootlegger's 200 proof blackjack by Mike Turner
• You've Got Heat by Barfarkel
• Mensa Guide to Casino Gambling: Winning Ways by Andrew Brisman
• Silver Fox Blackjack System by Ralph Stricker
• Get the Edge at Blackjack by John May

Books that briefly acknowledge Schlesinger:

• Gambling 102: The Best Stratgies for All Casino Games by Michael Shackleford
• Gambling Theory and Other Topics by Mason Malmuth
• Blackjack for Blood by Bryce Carlson
• Extra Stuff by Dr. Peter Griffin
• Blackjack Essays by Mason Malmuth
• Gambling for Winners: Your Hard-Headed, No B.S. Guide to Gaming by Richard Stooker
• Fundamentals of '21' by Mason Malmuth, Lynne Loomis

References[edit]

1. ^Knappster: Is what's good for Macau good for Vegas?
2. ^http://www.volx.us/bio4.htm
3. ^Blackwood, Kevin 'Play Blackjack Like the Pros', 2005, Harper Collins, pages 107, 122, 147, 227
4. ^'Encyclopedia of Casino Twenty-One'. Spur of the Moment Publishing. Retrieved 2011-10-23.
5. ^Blackwood, Kevin 'Play Blackjack Like the Pros', 2005, Harper Collins, pages 18, 68-70, 85
6. ^Epstein, Richard A. 'The Theory of Gambling and Statistical Logic' 2nd edition, 2009, Academic Press, page 273
7. ^Epstein, Richard A. 'The Theory of Gambling and Statistical Logic' 2nd edition, 2009, Academic Press, page 267-268

External links[edit]