Game-Theoretic Foundations for Probability and Finance PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Game-Theoretic Foundations for Probability and Finance PDF full book. Access full book title Game-Theoretic Foundations for Probability and Finance by Glenn Shafer. Download full books in PDF and EPUB format.
Author: Glenn Shafer
Publisher: John Wiley & Sons
ISBN: 0470903058
Category : Business & Economics
Languages : en
Pages : 480
Get Book Here
Book Description
Game-theoretic probability and finance come of age Glenn Shafer and Vladimir Vovk’s Probability and Finance, published in 2001, showed that perfect-information games can be used to define mathematical probability. Based on fifteen years of further research, Game-Theoretic Foundations for Probability and Finance presents a mature view of the foundational role game theory can play. Its account of probability theory opens the way to new methods of prediction and testing and makes many statistical methods more transparent and widely usable. Its contributions to finance theory include purely game-theoretic accounts of Ito’s stochastic calculus, the capital asset pricing model, the equity premium, and portfolio theory. Game-Theoretic Foundations for Probability and Finance is a book of research. It is also a teaching resource. Each chapter is supplemented with carefully designed exercises and notes relating the new theory to its historical context. Praise from early readers “Ever since Kolmogorov's Grundbegriffe, the standard mathematical treatment of probability theory has been measure-theoretic. In this ground-breaking work, Shafer and Vovk give a game-theoretic foundation instead. While being just as rigorous, the game-theoretic approach allows for vast and useful generalizations of classical measure-theoretic results, while also giving rise to new, radical ideas for prediction, statistics and mathematical finance without stochastic assumptions. The authors set out their theory in great detail, resulting in what is definitely one of the most important books on the foundations of probability to have appeared in the last few decades.” – Peter Grünwald, CWI and University of Leiden “Shafer and Vovk have thoroughly re-written their 2001 book on the game-theoretic foundations for probability and for finance. They have included an account of the tremendous growth that has occurred since, in the game-theoretic and pathwise approaches to stochastic analysis and in their applications to continuous-time finance. This new book will undoubtedly spur a better understanding of the foundations of these very important fields, and we should all be grateful to its authors.” – Ioannis Karatzas, Columbia University
Author: Glenn Shafer
Publisher: John Wiley & Sons
ISBN: 0470903058
Category : Business & Economics
Languages : en
Pages : 480
Get Book Here
Book Description
Game-theoretic probability and finance come of age Glenn Shafer and Vladimir Vovk’s Probability and Finance, published in 2001, showed that perfect-information games can be used to define mathematical probability. Based on fifteen years of further research, Game-Theoretic Foundations for Probability and Finance presents a mature view of the foundational role game theory can play. Its account of probability theory opens the way to new methods of prediction and testing and makes many statistical methods more transparent and widely usable. Its contributions to finance theory include purely game-theoretic accounts of Ito’s stochastic calculus, the capital asset pricing model, the equity premium, and portfolio theory. Game-Theoretic Foundations for Probability and Finance is a book of research. It is also a teaching resource. Each chapter is supplemented with carefully designed exercises and notes relating the new theory to its historical context. Praise from early readers “Ever since Kolmogorov's Grundbegriffe, the standard mathematical treatment of probability theory has been measure-theoretic. In this ground-breaking work, Shafer and Vovk give a game-theoretic foundation instead. While being just as rigorous, the game-theoretic approach allows for vast and useful generalizations of classical measure-theoretic results, while also giving rise to new, radical ideas for prediction, statistics and mathematical finance without stochastic assumptions. The authors set out their theory in great detail, resulting in what is definitely one of the most important books on the foundations of probability to have appeared in the last few decades.” – Peter Grünwald, CWI and University of Leiden “Shafer and Vovk have thoroughly re-written their 2001 book on the game-theoretic foundations for probability and for finance. They have included an account of the tremendous growth that has occurred since, in the game-theoretic and pathwise approaches to stochastic analysis and in their applications to continuous-time finance. This new book will undoubtedly spur a better understanding of the foundations of these very important fields, and we should all be grateful to its authors.” – Ioannis Karatzas, Columbia University
Author: Evelyn L. Forget
Publisher: Routledge
ISBN: 1134630808
Category : Business & Economics
Languages : en
Pages : 324
Get Book Here
Book Description
This book uses archival and published sources to place Say in context, at the confluence of several major currents in social philosophy. The Say that emerges from this study is far from being the one dimensional popularizer of Smith and proponent of libertarian ideology that he is often depicted as. Rather he is an eighteenth-century republican trying to knit togther support for free markets and industrial development with a profound respect for the importance of the legislator, the administrator and the educator in the creation and maintenance of civil society
Author: Anne Duprat
Publisher: Taylor & Francis
ISBN: 1003828809
Category : Literary Criticism
Languages : en
Pages : 457
Get Book Here
Book Description
Figures of Chance I: Chance in Literature and the Arts (16th–21st Centuries) proposes a transhistorical analysis that will serve as a reference work on the evolution of literary and artistic representations of chance and contingency. Alongside its multidisciplinary companion volume (Figures of Chance II), it considers how the projective and predictive capacity of societies is shaped by representations and cultural models of a reality that is understood, to varying degrees, to be contingent, unpredictable, or chaotic. Giving special emphasis to the French context while also developing broad cross-cultural comparisons, this volume examines the dialogue between evolving conceptions and changing representations of chance, from Renaissance figures of Fortune to the data-driven world of the present. Written by recognized specialists of each of the periods studied, it identifies and historicizes the main fictional and factual modes of portraying, narrating, and comprehending chance in the West.
Author: Jean-Yves Béziau
Publisher: Springer Nature
ISBN: 3030944522
Category : Mathematics
Languages : en
Pages : 743
Get Book Here
Book Description
This contributed volume collects papers related to the Logic in Question workshop, which has taken place annually at Sorbonne University in Paris since 2011. Each year, the workshop brings together historians, philosophers, mathematicians, linguists, and computer scientists to explore questions related to the nature of logic and how it has developed over the years. As a result, chapter authors provide a thorough, interdisciplinary exploration of topics that have been studied in the workshop. Organized into three sections, the first part of the book focuses on historical questions related to logic, the second explores philosophical questions, and the third section is dedicated to mathematical discussions. Specific topics include: • logic and analogy• Chinese logic• nineteenth century British logic (in particular Boole and Lewis Carroll)• logical diagrams • the place and value of logic in Louis Couturat’s philosophical thinking• contributions of logical analysis for mathematics education• the exceptionality of logic• the logical expressive power of natural languages• the unification of mathematics via topos theory Logic in Question will appeal to pure logicians, historians of logic, philosophers, linguists, and other researchers interested in the history of logic, making this volume a unique and valuable contribution to the field.
Author: Stephen M. Stigler
Publisher: University of Chicago Press
ISBN: 0226820785
Category : History
Languages : en
Pages : 252
Get Book Here
Book Description
The fascinating story of an important lottery that flourished in France from 1757 to 1836 and its role in transforming our understanding of the nature of risk. In the 1750s, at the urging of famed adventurer Giacomo Casanova, the French state began to embrace risk in adopting a new Loterie. The prize amounts paid varied, depending on the number of tickets bought and the amount of the bet, as determined by each individual bettor. The state could lose money on any individual Loterie drawing while being statistically guaranteed to come out on top in the long run. In adopting this framework, the French state took on risk in a way no other has, before or after. At each drawing the state was at risk of losing a large amount; what is more, that risk was precisely calculable, generally well understood, and yet taken on by the state with little more than a mathematical theory to protect it. Stephen M. Stigler follows the Loterie from its curious inception through its hiatus during the French Revolution, its renewal and expansion in 1797, and finally to its suppression in 1836, examining throughout the wider question of how members of the public came to trust in new financial technologies and believe in their value. Drawing from an extensive collection of rare ephemera, Stigler pieces together the Loterie’s remarkable inner workings, as well as its implications for the nature of risk and the role of lotteries in social life over the period 1700–1950. Both a fun read and fodder for many fields, Casanova's Lottery shines new light on the conscious introduction of risk into the management of a nation-state and the rationality of playing unfair games.
Author: Évelyne Barbin
Publisher: Springer
ISBN: 3319571508
Category : Education
Languages : en
Pages : 159
Get Book Here
Book Description
This book brings together 10 experiments which introduce historical perspectives into mathematics classrooms for 11 to 18-year-olds. The authors suggest that students should not only read ancient texts, but also should construct, draw and manipulate. The different chapters refer to ancient Greek, Indian, Chinese and Arabic mathematics as well as to contemporary mathematics. Students are introduced to well-known mathematicians—such as Gottfried Leibniz and Leonard Euler—as well as to less famous practitioners and engineers. Always, there is the attempt to associate the experiments with their scientific and cultural contexts. One of the main values of history is to show that the notions and concepts we teach were invented to solve problems. The different chapters of this collection all have, as their starting points, historic problems—mathematical or not. These are problems of exchanging and sharing, of dividing figures and volumes as well as engineers’ problems, calculations, equations and congruence. The mathematical reasoning which accompanies these actions is illustrated by the use of drawings, folding, graphical constructions and the production of machines.
Author: B. W. Head
Publisher: Springer Science & Business Media
ISBN: 9400951590
Category : Philosophy
Languages : en
Pages : 230
Get Book Here
Book Description
This book attempts to present a detailed and critical account of the thought of Antoine-Louis-Claude Destutt de Tracy (1754-1836). Major importance has been placed on the analysis of his published writings. Biographical details have been provided only to the extent necessary to elucidate the circumstances of the composition and publication of his writings: in particular, the intellectual and political currents in France during the Revolutionary and Napoleonic periods. The book has three main themes. The first is Tracy's philosophy of ideologie, which was concerned to clarify concepts and provide guarantees of reliable knowledge. The second is Tracy's attempt to elaborate a science of social organisation, la science sociale, whose objective was to recommend institutions and policies which could maximise social happiness. The third theme is Tracy's development of liberal and utilitarian approaches to the fields of politics, economics and education. This study began life as a doctoral dissertation at the London School of Economics and Political Science. I am grateful for the guidance of my supervisor, Professor Ken Minogue, and for helpful comments from Professor Maurice Cranston, Professor Jack Lively, and Dr John Hooper.
Author: Umberto Bottazini
Publisher: Routledge
ISBN: 113469881X
Category : History
Languages : en
Pages : 318
Get Book Here
Book Description
This book focuses on some of the major developments in the history of contemporary (19th and 20th century) mathematics as seen in the broader context of the development of science and culture. Avoiding technicalities, it displays the breadth of contrasting images of mathematics favoured by different countries, schools and historical movements, showing how the conception and practice of mathematics changed over time depending on the cultural and national context. Thus it provides an original perspective for embracing the richness and variety inherent in the development of mathematics. Attention is paid to the interaction of mathematics with themes whose proper treatment have been neglected by the traditional historiography of the discipline, such as the relationship between mathematics, statistics and medicine.
Author: Laurent Mazliak
Publisher: Springer Nature
ISBN: 3031059883
Category : Mathematics
Languages : en
Pages : 419
Get Book Here
Book Description
Over the past eighty years, martingales have become central in the mathematics of randomness. They appear in the general theory of stochastic processes, in the algorithmic theory of randomness, and in some branches of mathematical statistics. Yet little has been written about the history of this evolution. This book explores some of the territory that the history of the concept of martingales has transformed. The historian of martingales faces an immense task. We can find traces of martingale thinking at the very beginning of probability theory, because this theory was related to gambling, and the evolution of a gambler’s holdings as a result of following a particular strategy can always be understood as a martingale. More recently, in the second half of the twentieth century, martingales became important in the theory of stochastic processes at the very same time that stochastic processes were becoming increasingly important in probability, statistics and more generally in various applied situations. Moreover, a history of martingales, like a history of any other branch of mathematics, must go far beyond an account of mathematical ideas and techniques. It must explore the context in which the evolution of ideas took place: the broader intellectual milieux of the actors, the networks that already existed or were created by the research, even the social and political conditions that favored or hampered the circulation and adoption of certain ideas. This books presents a stroll through this history, in part a guided tour, in part a random walk. First, historical studies on the period from 1920 to 1950 are presented, when martingales emerged as a distinct mathematical concept. Then insights on the period from 1950 into the 1980s are offered, when the concept showed its value in stochastic processes, mathematical statistics, algorithmic randomness and various applications.
Author: Brian W. Head
Publisher: Routledge
ISBN: 1000706486
Category : Political Science
Languages : en
Pages : 364
Get Book Here
Book Description
First published in 1987. This study describes and analyses the published writings of the French philosopher Antoine Destutt de Tracy. The author focuses on the three decades from the calling of the Etats-généraux to the early years of the Restoration – the period of Tracy’s entire literary production, and the period of his greatest influence and reputation. This title will be of great interest to students of history, philosophy and politics.
