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• catalog abstract ""Simple games are mathematical structures inspired by voting systems in which a single alternative, such as a bill, is pitted against the status quo. The first in-depth mathematical study of the subject as a coherent subfield of finite combinatorics - one with its own organized body of techniques and results - this book blends new theorems with some of the striking results from threshold logic, making all of it accessible to game theorists. Introductory material receives a fresh treatment, with an emphasis on Boolean subgames and the Rudin-Keisler order as unifying concepts. Advanced material focuses on the surprisingly wide variety of properties related to the weightedness of a game."--Jacket.".
• catalog contributor b11278157.
• catalog contributor b11278158.
• catalog created "1999.".
• catalog date "1999".
• catalog date "1999.".
• catalog dateCopyrighted "1999.".
• catalog description ""Simple games are mathematical structures inspired by voting systems in which a single alternative, such as a bill, is pitted against the status quo. The first in-depth mathematical study of the subject as a coherent subfield of finite combinatorics - one with its own organized body of techniques and results - this book blends new theorems with some of the striking results from threshold logic, making all of it accessible to game theorists. Introductory material receives a fresh treatment, with an emphasis on Boolean subgames and the Rudin-Keisler order as unifying concepts. Advanced material focuses on the surprisingly wide variety of properties related to the weightedness of a game."--Jacket.".
• catalog description "Fundamentals -- The Dual Game -- The Algebra of Simple Games -- The Two-Point Constant-Sum Extension of a Game -- Pregames and Weighted Graphs -- Vector-Weighted Simple Games and Dimension Theory -- The Voting Bloc and Bicameral Meet Characterization -- The Game behind a Simple Game -- General Trading: Weighted Games -- Trading Transforms and Trading Matrices -- Sequential Transfers -- The Trading Characterization of Weighted Games -- Pregraphs and Graphs -- The Traditional Approaches: Systems of Linear Inequalities and Separating Hyperplanes -- The Gabelman Examples -- A General Framework -- Pairwise Trading: Linear Games and Winder Games -- The Desirability Relation on Individuals and Swap Robustness -- Shift Minimal Winning Coalitions and the Ordinal Power Structure of a Simple Game -- A Classification Theorem for Linear Games -- Chvatal's Conjecture -- The PSA Pseudoweighting Characterization of Linear Games -- The Local Weighting Characterization of Linear Games -- Two-Trade Robustness and Winder Games -- A Weighting Characterization of Winder Games -- The Hereditarily Dual-Comparable Characterization of Winder Games -- Cycle Trading: Weakly Acyclic Games and Strongly Acyclic Games -- An Impossibility Result for Coalitional Desirability Relations -- Possibilities, and More Impossibilities, from the Weight-Induced Order -- Lapidot's Desirability Relation on Coalitions and Weakly Acyclic Games -- The SSA Pseudoweighting Characterization of Weakly Acyclic Games, and a Generalization.".
• catalog description "Includes bibliographical references and index.".
• catalog extent "xiii, 246 p. :".
• catalog identifier "0691001200 (cl : alk. paper)".
• catalog issued "1999".
• catalog issued "1999.".
• catalog language "eng".
• catalog publisher "Princeton, N.J. : Princeton University Press,".
• catalog subject "519.3 21".
• catalog subject "Game theory.".
• catalog subject "QA269 .T39 1999".
• catalog subject "Threshold logic.".
• catalog tableOfContents "Fundamentals -- The Dual Game -- The Algebra of Simple Games -- The Two-Point Constant-Sum Extension of a Game -- Pregames and Weighted Graphs -- Vector-Weighted Simple Games and Dimension Theory -- The Voting Bloc and Bicameral Meet Characterization -- The Game behind a Simple Game -- General Trading: Weighted Games -- Trading Transforms and Trading Matrices -- Sequential Transfers -- The Trading Characterization of Weighted Games -- Pregraphs and Graphs -- The Traditional Approaches: Systems of Linear Inequalities and Separating Hyperplanes -- The Gabelman Examples -- A General Framework -- Pairwise Trading: Linear Games and Winder Games -- The Desirability Relation on Individuals and Swap Robustness -- Shift Minimal Winning Coalitions and the Ordinal Power Structure of a Simple Game -- A Classification Theorem for Linear Games -- Chvatal's Conjecture -- The PSA Pseudoweighting Characterization of Linear Games -- The Local Weighting Characterization of Linear Games -- Two-Trade Robustness and Winder Games -- A Weighting Characterization of Winder Games -- The Hereditarily Dual-Comparable Characterization of Winder Games -- Cycle Trading: Weakly Acyclic Games and Strongly Acyclic Games -- An Impossibility Result for Coalitional Desirability Relations -- Possibilities, and More Impossibilities, from the Weight-Induced Order -- Lapidot's Desirability Relation on Coalitions and Weakly Acyclic Games -- The SSA Pseudoweighting Characterization of Weakly Acyclic Games, and a Generalization.".
• catalog title "Simple games : desirability relations, trading, pseudoweightings / Alan D. Taylor and William S. Zwicker.".
• catalog type "text".