My goal for “The Modified Optimal 2/1-Club System” is to show how to use the Optimal Point Count (OPC) method of hand evaluation developed by Patrick. Darricades in his book “Optimal Hand Evaluation” (2019) to improve the dialogue between two players to achieve an optimal bridge contract. The primary objective is to demonstrate how to apply the new system approach to contract bridge by illustrating a more accurate method of hand evaluation whether you play 2/1, Standard American (SA), Acol or Precision, among others. The Two over One (2/1) Game Force bidding system was an improvement over the SA System that has been in effect and played by bridge players for many years. Many claim that the advantage of the 2/1 system allows the partnership to know that game is possible with only a single bid provided one has 13+ points. As we shall see for suit contracts it is only true if the opening 2/1 bidder has 15 points, not 12/13 points since 25/26 points do not result in game whenever a singleton in one hand finds “wasted honor points” in partner’s hand. Yet, most 2/1 conventions call for 13+ High Card Points (HCP). Another flaw of the 2/1 approach is the fact that opening 1-level suit bids have a wide bidding range (12-21). To eliminate this flaw, the principles of Pinpoint Precision with 1*= 18+ points and new responses associated with a new and improved hand evaluation method. A major flaw of most Strong Club opening bids is that they are based solely on HCPs with opening bids of 1*=16/17+ HCP. To correct these flaws among others, the search for a better hand evaluation method and a better bidding system has been unrelenting. Hand evaluation methods have been popularized by Milton Work, Charles Goren, Marty Bergen, and Petkoy Zar, and others. All falling short when applied to the commonly used “dialogue” bidding systems. The Optimal Point Count (OPC) method of hand evaluation corrects the many flaws of prior hand evaluation methods when applied to any bidding system. In this book many “traditional/standard” bidding practices that do not help to show suit fi t and distribution are to be avoided or re-defined. Splinters and mini splinters which show the location of voids and singletons to help locate wasted honors, the XYZ bidding convention, cue bidding, and new bids for the investigation of game and slam are among the cornerstone conventions reviewed in this book. Newly defined 2 and 3-level bids to show hands with 6/7+card suits are defined to prevent the opponents from finding their optimal contract and to improve upon difficult bidding sequences using traditional bidding strategies. The evaluation of one’s Offense to Defense Ratio (ODR), why many well-known bidding sequences must be avoided, and an analysis of several old “standard” bridge laws/rules are reviewed to show why they need not be used to improve one’s judgement if one employs the OPC method.

A collection of the first section of the "Fundamentals of Pure and Applied Economics" series, "Regional and Urban Economics: Parts One and Two" is an encyclopaedia containing eight titles: This volume highlights original contributions in regional and urban economics, concentrating mainly on urban economic theory. The contributions focus on the treatment of space in economic theory. Drawing on the body of literature developed by Von Thunen, Christaller and Losch, these chapters explore empirical, theoretical and applied aspects of urban and regional economics which can be divided into the following areas: Location Theory, "Jean Jaskold Gabszewicz, Jacques-Francois Thisse, Masahisa Fujita "and" Urs Schwiezer" Urban Public Finance, "David E. Wildasin" Urban Dynamics and Urban Externalities, "Takahiro Miyao "and" Yoshitsugu" "Kanemoto" Systems of Cities and Facility Location,

The 2/1 Game Force bidding system is an improvement over the Standard American System that has been in effect and played by bridge players for many years. The advantage of the 2/1 system is that it allows the partnership to know that game is possible with only a single bid. In this book, I have tried to present the fundamental aspects of the bidding structure for playing a pure Two-Over-One Game Force system of bidding. In this book, I have tried to change behavior by presenting a series of bids geared toward the 2/1 bidding structure that includes Bergen, Reverse Bergen, and Combined Bergen Raises, inverted minor suit raises with crisscross and flip-flop, cuebidding, modified scroll bids, and many more methods not used in Standard American or Precision. In the fourth edition, the Minorwood Convention has been expanded and several variations of the Flannery Convention are included in this edition. I have added the Hello and SCUM conventions used to interfer over strong notrumps and a Modified Landy convention designed to compete over partnerships that employ a weak notrump bid. The Equal Level Conversion (ELC) double is discussed in Chapter 6 and additional material on slam bidding has been added to Chapter 3. The material on two-way new minor forcing and the Gazilli Convention has been expanded upon in Chapter 1 and Jacoby transfers with a superaccept structure has been added to Chapter 2. Finally, a new chapter that reviews the new Italian System of bids called Fantunes has been included in this edition. The System has been modified to be in compliance with the General Convention Chart.

This book constitutes the refereed post-proceedings of the Third International Workshop on Engineering Self-Organising Applications, ESOA 2005, held in July 2005 as an associated event of AAMAS 2005. The 12 revised full papers and 6 revised short papers presented are organized in topical sections on novel self-organising mechanisms, methodologies, models and tools for self-organising applications, and specific applications of self-organising mechanisms.

An overview of the rapidly growing field of ant colony optimization that describes theoretical findings, the major algorithms, and current applications. The complex social behaviors of ants have been much studied by science, and computer scientists are now finding that these behavior patterns can provide models for solving difficult combinatorial optimization problems. The attempt to develop algorithms inspired by one aspect of ant behavior, the ability to find what computer scientists would call shortest paths, has become the field of ant colony optimization (ACO), the most successful and widely recognized algorithmic technique based on ant behavior. This book presents an overview of this rapidly growing field, from its theoretical inception to practical applications, including descriptions of many available ACO algorithms and their uses. The book first describes the translation of observed ant behavior into working optimization algorithms. The ant colony metaheuristic is then introduced and viewed in the general context of combinatorial optimization. This is followed by a detailed description and guide to all major ACO algorithms and a report on current theoretical findings. The book surveys ACO applications now in use, including routing, assignment, scheduling, subset, machine learning, and bioinformatics problems. AntNet, an ACO algorithm designed for the network routing problem, is described in detail. The authors conclude by summarizing the progress in the field and outlining future research directions. Each chapter ends with bibliographic material, bullet points setting out important ideas covered in the chapter, and exercises. Ant Colony Optimization will be of interest to academic and industry researchers, graduate students, and practitioners who wish to learn how to implement ACO algorithms.

This book covers basic and advanced features of the Two-Over-One (2/1) Game Force bidding system which include Bergen and Combined Bergen Raises, inverted minor suit raises with criss-cross and flip-flop, cue bidding, modified scroll bids, and many more methods not used in Standard American or Precision. This is not a book on conventions, it is a book about bridge which incorporates conventions which allow the partnership to reach game or slam. In this regard, I have incorporated modern methods for hand evaluation developed by Marty Bergen. New bidding conventions like SARS (Shape Asking Relays after Stayman), Quest transfers and an overview of "Bridge Rules and Laws" which will improve your approach to the bidding structure you may use today.

Accurately assess the value of your combined hands Accurate hand evaluation is critically important to reaching the right contract in bridge. Yet, for over 75 years now, hand evaluation has essentially relied on Milton Work's 4-3-2-1 honor point count -- a count known to be seriously flawed and inaccurate. Even in balanced hands aces are under-valued, queens and jacks are overvalued, tens are not factored in, and distribution and fit are barely considered. All in all, this method gives a very unsatisfactory, inaccurate point count that leads, too often, to the wrong contract. In this book, the author addresses these flaws by applying corrections to the 4-3-2-1 honor point count and Goren's distribution point count, and introduces revolutionary new findings that lead to much more accurate hand evaluation. Most importantly, this new Optimal hand evaluation accurately assesses the value of both hands combined, the true test of hand evaluation. Over 100 example hands clearly establish that the Work/Goren point count is simply erroneous and that various other more modern methods do not offer a better alternative. Reading this book will let you be the judge, and applying the Optimal point count is sure to substantially improve your bidding.