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Mathematics and Statistics (R0)

Christopher S. Hardin

Alan D. Taylor

The Mathematics of Coordinated Inference

A Study of Generalized Hat Problems

1. ​Introduction.- 2. The Finite Setting.- 3. The Denumerable Setting: Full Visibility.- 4. The Denumerable Setting: One-Way Visibility.- 5. Dual Hat Problems and the Uncountable.- 6. Galvin's Setting: Neutral and Anonymous Predictors.- 7. The Topological Setting.- 8. Universality of the μ-Predictor.- 9. Generalizations and Galois-Tukey Connections.- Bibliography.- Index.

Textbooks in Mathematics


<p>
With coverage of homology and cohomology theory, universal coefficient theorems, Kunneth theorem, duality in manifolds, and applications to classical theorems of point-set topology, this book is perfect for communicating complex topics and the fun nature of algebraic topology for beginners.</p>


Elements of Algebraic Topology

Springer Nature Proceedings excluding Computer Science

&lt;p&gt;This book presents the best papers from the 4th International Conference on Mathematical Research for Blockchain Economy (MARBLE) 2023, held in London, UK. While most blockchain conferences and forums are dedicated to business applications, product development, or Initial Coin Offering (ICO) launches, this conference focused on the mathematics behind blockchain to bridge the gap between practice and theory.&lt;/p&gt;&lt;p&gt;The book spans the divide between theoretical promise and practical reality in blockchain technology and explores the challenges hindering its real-world integration across diverse sectors, offering comprehensive insights into issues like scalability, security, and privacy.&amp;nbsp;&lt;/p&gt;&lt;p&gt;&lt;/p&gt;

Panos Pardalos

Ilias Kotsireas

William J. Knottenbelt

Stefanos Leonardos

4th International Conference MARBLE 2023, London, United Kingdom

Mathematical Research for Blockchain Economy

Economics and Finance (R0)

&lt;p&gt;This book uses game theory to analyze the strategies developed in negotiation processes. Offering a detailed analysis of competition and cooperation, it explores various bargaining strategies that result from the application of Nash equilibrium and mixed strategies. Employing a blend of game theory and real-world examples, the authors describe typical negotiation scenarios and unveil the art of negotiation strategy – dissecting both competitive and cooperative tactics.&lt;/p&gt;&lt;p&gt;This comprehensive analysis explores the multifaceted dimensions of negotiation, highlighting not only formal aspects but also the economic, social, political, and human factors at play. The authors discuss the basic structures of cooperative and non-cooperative games and conduct a comprehensive analysis of the language games that take place in negotiations. They examine how negotiators belonging to different forms of life can trade with each other when their respective language games are different and prone tomisinterpretation. The book also probes arbitration and mediation as conflict-resolution tools within this intricate landscape.&lt;/p&gt;&lt;p&gt; &lt;/p&gt;&lt;p&gt;Designed for the curious minds seeking insight into negotiation strategies, as well as students and scholars of diverse fields, this book fosters an understanding of negotiation's labyrinthine pathways. "Dynamics of Rational Negotiation" unlocks the door to negotiation's complexities, inviting readers to unravel the layers of human interaction.&lt;/p&gt;

Margit Gaffal

Jesús Padilla Gálvez

Game Theory, Language Games and Forms of Life

Dynamics of Rational Negotiation

Intelligent Technologies and Robotics (R0)

Weiran Shen

Pingzhong Tang

Song Zuo

AI-Driven Mechanism Design

Chapman Mathematical Notes

<p>Alexander Grothendieck is often considered one of the greatest mathematicians of the twentieth century (if not all time), and his unique vision continues to impact and inspire many fields and researchers today. Utilizing a multidisciplinary approach, this edited volume explores the profound influence his work and ideas have had not only on mathematics, but also on logic and philosophy. Chapters are written by international scholars, and many were inspired by talks given at the conference “Grothendieck, A Multifarious Giant” at Chapman University (May 24-28, 2022). Some chapters are written from a historical perspective and discuss the development of the main themes that characterized Grothendieck's work. Others are more mathematical in nature, analyzing and extending some of his more relevant and obscure results that are still not well understood. Philosophical implications and applications in logic are the subjects of other chapters. This volume will be of interest not only to mathematicians working in algebraic geometry, category theory, and other areas to which Grothendieck contributed, but also to philosophers, logicians, and historians of science.</p>

The Mathematical and Philosophical Legacy of Alexander Grothendieck

&lt;p&gt;This ambitious book is the first to present a theoretical framework for a unified analysis of both behavioral and traditional economics. It explores the ultimate factors from an evolutionary perspective in addressing why humans are predictably irrational and proposes "adaptive rationality," a new direction for understanding human behavior.&lt;br&gt;
Taking anomalies in ultimatum game experiments as a starting point, this book presents findings from hundreds of experiments. The interdisciplinary nature of the book, which encompasses the latest research across an astonishingly wide range of fields—including game theory, psychology, neuroscience, cognitive science, cultural&amp;nbsp;anthropology, biology, and ethology—provides boundless intellectual excitement.&lt;br&gt;
While this is an academic book discussing human rationality, it can also be seen as a popular science book that delves deeply into questions such as "What underlies human decision making?" The book stands out for its unique approach, making it an unparalleled reading experience. The original Japanese edition won the Nikkei Prize for Economics Books (the 64th Nikkei-Keizai Tosho Bunka award) in 2021, an accolade bestowed upon an outstanding economics book published in a given year. Furthermore, this edition also received the Takashima Kunio Jiyu Prize Encouragement Award in 2024.&lt;/p&gt;


Kayoko Kobayashi

Why We Are Predictably Irrational

The Mystery of the Ultimatum Game

Manfred J. Holler

Barbara Klose-Ullmann

Medea Meets Hamlet

Strategic Games on Stage

Social Sciences (R0)

Rui Zhao

Multi-criteria Decision-Making Approaches to Sustainable Consumption and Production

Akio Torii

Decision-making in High-Risk Projects

This book critically discusses the historical backgrounds and new developments of the theories of games, decisions, and markets, with many possible applications to social and economic problems. Consisting of three connected parts, the book sheds new light on the role of merchants in the market economy under conditions of risk and uncertainty. Part I begins with the question of why and how John von Neumann and Oskar Morgenstern did joint work in game theory, namely, the theoretical study of strategic interactions among several decision makers. The duel between Sherlock Holmes and Professor Moriarty in Conan Doyle's famous detective story is recalled as a great inducement to Neumann and Morgenstern to invent zero-sum, two-person games. More general non-zero-sum games and associated Nash solutions are then discussed in relation to the generation-gap problem between a young couple and an elderly couple. Part II explores a set of very fundamental problems of individual decision making. Thetwo famous axioms of revealed preference ― Samuelson's weak axiom and Houthakker's axiom ― are skillfully connected and empirically reevaluated by the introduction of certain regularity conditions. The revealed preference approach is then extended from the original commodity space to the dual price space. Such dual treatment in microeconomics is further applied to the theory of cost and production, with the decomposition of the total factor price effect into the substitution and scale effects. Part III turns the reader’s attention to the interdependence of several markets. The almost forgotten Hicks–Morishima approach is newly revived with graphical illustrations of traded goods. The well-known Jones–Kemp approach to international trade is boldly expanded into the world of risk and uncertainty. Some striking results in comparative static analysis are derived, with favorable implications for the real world.

The Mathematics of Coordinated Inference

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