Optima and Equilibria


Book Description

Progress in the theory of economic equilibria and in game theory has proceeded hand in hand with that of the mathematical tools used in the field, namely nonlinear analysis and, in particular, convex analysis. Jean-Pierre Aubin, one of the leading specialists in nonlinear analysis and its application to economics, has written a rigorous and concise - yet still elementary and self-contained - textbook providing the mathematical tools needed to study optima and equilibria, as solutions to problems, arising in economics, management sciences, operations research, cooperative and non-cooperative games, fuzzy games etc. It begins with the foundations of optimization theory, and mathematical programming, and in particular convex and nonsmooth analysis. Nonlinear analysis is then presented, first game-theoretically, then in the framework of set valued analysis. These results are then applied to the main classes of economic equilibria. The book contains numerous exercises and problems: the latter allow the reader to venture into areas of nonlinear analysis that lie beyond the scope of the book and of most graduate courses.




Optima for Animals


Book Description

Optimization theory is designed to find the best ways of doing things. The structures of animals, their movements, their behavior, and their life histories have all been shaped by the optimizing processes of evolution or of learning by trial and error. In this revised edition of R. McNeill Alexander's widely acclaimed Optima for Animals, we see how extraordinarily diverse branches of biology are illuminated by the powerful methods of optimization theory. What is the best strength for a bone? Too weak a bone will probably break but an excessively stout one will be cumbersome. At what speed should humans change from walking to running? Should a bird take only big juicy worms or should it eat every worm it finds, and do birds make the best choices? Why do the males of some species of fishes and the females of others look after the young, while the young of others are looked after by both parents or neither? Is it possible that all these policies can be optimal, in different circumstances? This book shows how these and many other questions can be answered. The mathematics involved is explained very simply, with biology students in mind, but the book is not just for them. It is also for professionals, ranging from teachers to researchers.




Optima Poker Trainer


Book Description

The underlying algorithm that drives Optima Poker Trainer has been patented with the USPTO, so you will not find this training process anywhere else in the world. The Patent Number is 11,847,929 with title “System and method for creating a poker algorithm capable of independently playing and training users how to play consistently optimal poker.” An algorithm is defined as a step-by-step process used to accomplish a specific task. This book was originally entitled “The Poker Algorithm,” but the title was changed to Optima Poker Trainer in order to match the name of the integrated FREE MOBILE APP now available on iOS and Google Play. To play while you read, just search for “Optima Poker Trainer” through the iOS or Google Play App Stores. The free mobile app provides an exciting platform to learn the Game Theory Optimal Exploitative (G.T.O.X.) poker strategy while enjoying the rush of playing REAL No Limit Texas Hold’em against computerized opponents. We’re talking about playing genuine multiplayer poker with TRILLIONS of completely random possible hands to learn from, not just limited pre-determined scenarios like all those other poker training apps that charge hundreds or even thousands of dollars to use. Optima Poker Trainer is much more than just another book or mobile app about optimal poker strategy. THIS IS A UNIQUE MATHEMATICAL SOLUTION TO TEXAS HOLD’EM POKER! With a proprietary algorithm that combines Game Theory Optimal poker strategy with Exploitative poker strategy, Optima Poker Trainer teaches players a straightforward process for how to improve and even perfect their poker skills. The algorithm is a proprietary 12-step system that applies to any possible hand of No Limit Texas Hold’em against any number of opponents. See the Table Of Contents for a brief description of each of the 12 steps. The strategies described can also be applied to other variations of poker such as Omaha, Short Deck, Limit Hold’em, and more. The algorithm instructs users how to play consistently optimal No Limit Texas Hold’em in ANY particular situation, and against ANY unique opponent. Please keep in mind that various updates are still required, so this is still a work in progress. The Optima Poker Trainer free mobile app includes the following customizable game features, with corresponding adjustments to the GTOX algorithm for each feature: 1. Number of Opponents: Choose from 1 to 9 Opponents 2. Opponent Types: Choose from Loose, Very Loose, Tight, Very Tight, GTO, GTOX, or Random Opponent Types 3. Chip Stack Sizes: Choose from Short (25 big blinds), Medium (50 Big Blinds), or Deep (100 Big Blinds) Stack Sizes 4. Additional customizable game features including Tournament Mode, Rakes, Antes, Omaha, Short Deck, and Limit Hold’em are all coming soon. As well as various additional updates and GTO adjustments. So make sure to keep your mobile app updated! FOR A LIMITED TIME ONLY, THE MOBILE APP IS NOW AVAILABLE FOR FREE DOWNLOAD ON iOS AND GOOGLE PLAY WITH NO IN-APP PURCHASES REQUIRED, NO ADVERTISEMENTS, AND NO USER DATA COLLECTION! In addition to all the details on the 12-step algorithm, the Optima Poker Trainer book now includes 2 bonus chapters that extrapolate optimal poker strategy concepts into other realms of life. These fascinating ruminations conclude in a final chapter that outlines and explains the optimal betting strategy algorithms for Blackjack, Craps, Baccarat, and other casino games. For more information visit us online at www.OptimaPokerTrainer.com







Optima


Book Description

"A review published in the interests of mining, industrial, scientific and economic progress" (varies slightly).
















The Jewelers' Circular


Book Description