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Utility Maximization, Choice and Preference
  • Language: en
  • Pages: 226

Utility Maximization, Choice and Preference

The utility maximization paradigm forms the basis of many economic, psychological, cognitive and behavioral models. However, numerous examples have revealed the deficiencies of the concept. This book helps to overcome those deficiencies by taking into account insensitivity of measurement threshold and context of choice. The second edition has been updated to include the most recent developments and a new chapter on classic and new results for infinite sets.

Linear Algebra for Economists
  • Language: en
  • Pages: 283

Linear Algebra for Economists

This textbook introduces students of economics to the fundamental notions and instruments in linear algebra. Linearity is used as a first approximation to many problems that are studied in different branches of science, including economics and other social sciences. Linear algebra is also the most suitable to teach students what proofs are and how to prove a statement. The proofs that are given in the text are relatively easy to understand and also endow the student with different ways of thinking in making proofs. Theorems for which no proofs are given in the book are illustrated via figures and examples. All notions are illustrated appealing to geometric intuition. The book provides a variety of economic examples using linear algebraic tools. It mainly addresses students in economics who need to build up skills in understanding mathematical reasoning. Students in mathematics and informatics may also be interested in learning about the use of mathematics in economics.

Arrovian Aggregation Models
  • Language: en
  • Pages: 254

Arrovian Aggregation Models

Aggregation of individual opinions into a social decision is a problem widely observed in everyday life. For centuries people tried to invent the `best' aggregation rule. In 1951 young American scientist and future Nobel Prize winner Kenneth Arrow formulated the problem in an axiomatic way, i.e., he specified a set of axioms which every reasonable aggregation rule has to satisfy, and obtained that these axioms are inconsistent. This result, often called Arrow's Paradox or General Impossibility Theorem, had become a cornerstone of social choice theory. The main condition used by Arrow was his famous Independence of Irrelevant Alternatives. This very condition pre-defines the `local' treatment...

Clusters, Orders, and Trees: Methods and Applications
  • Language: en
  • Pages: 404

Clusters, Orders, and Trees: Methods and Applications

  • Type: Book
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  • Published: 2014-06-11
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  • Publisher: Springer

The volume is dedicated to Boris Mirkin on the occasion of his 70th birthday. In addition to his startling PhD results in abstract automata theory, Mirkin’s ground breaking contributions in various fields of decision making and data analysis have marked the fourth quarter of the 20th century and beyond. Mirkin has done pioneering work in group choice, clustering, data mining and knowledge discovery aimed at finding and describing non-trivial or hidden structures—first of all, clusters, orderings and hierarchies—in multivariate and/or network data. This volume contains a collection of papers reflecting recent developments rooted in Mirkin’s fundamental contribution to the state-of-the-art in group choice, ordering, clustering, data mining and knowledge discovery. Researchers, students and software engineers will benefit from new knowledge discovery techniques and application directions.

Rationality and Freedom
  • Language: en
  • Pages: 756

Rationality and Freedom

Rationality and freedom are among the most profound and contentious concepts in philosophy and the social sciences. In this, the first of two volumes, Amartya Sen brings clarity and insight to these difficult issues.

Collective Choice and Social Welfare
  • Language: en
  • Pages: 641

Collective Choice and Social Welfare

  • Type: Book
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  • Published: 2018-05-17
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  • Publisher: Unknown

Originally published in 1970, this classic study has been recognized for its groundbreaking role in integrating economics and ethics, and for its influence in opening up new areas of research in social choice, including aggregative assessment. It has also had a large influence on international organizations, including the United Nations, notably in its work on human development. The book showed that the "impossibility theorems" in social choice theory--led by the pioneering work of Kenneth Arrow--do not negate the possibility of reasoned and democratic social choice. Sen's ideas about social choice, welfare economics, inequality, poverty, and human rights have continued to evolve since the book's first appearance. This expanded edition preserves the text of the original while presenting eleven new chapters of fresh arguments and results. "Expanding on the early work of Condorcet, Pareto, Arrow, and others, Sen provides rigorous mathematical argumentation on the merits of voting mechanisms...For those with graduate training, it will serve as a frequently consulted reference and a necessity on one's book shelf." --J. F. O'Connell, Choice

Recent Advances in Game Theory and Applications
  • Language: en
  • Pages: 284

Recent Advances in Game Theory and Applications

  • Type: Book
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  • Published: 2016-09-30
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  • Publisher: Birkhäuser

This contributed volume contains fourteen papers based on selected presentations from the European Conference on Game Theory SING11-GTM 2015, held at Saint Petersburg State University in July 2015, and the Networking Games and Management workshop, held at the Karelian Research Centre of the Russian Academy of Sciences in Petrozvavodsk, Russia, also in July 2015. These papers cover a wide range of topics in game theory, including recent advances in areas with high potential for future work, as well as new developments on classical results. Some of these include A new approach to journal ranking using methods from social choice theory; A differential game of a duopoly in which two firms are co...

Economic Sciences, 1996-2000
  • Language: en
  • Pages: 382

Economic Sciences, 1996-2000

Below is a list of the prizewinners during the period 1996 ? 2000 with a description of the works which won them their prizes: (1996) J A MIRRLEES & W S VICKREY ? for their fundamental contributions to the economic theory of incentives under asymmetric information; (1997) R C MERTON & M A SCHOLES ? for a new method to determine the value of derivatives; (1998) A K SEN ? for his contributions to welfare economics; (1999) R A MUNDELL ? for his analysis of monetary and fiscal policy under different exchange rate regimes and his analysis of optimum currency areas; (2000) J J HECKMAN ? for his development of theory and methods for analyzing selective samples & D L McFADDEN ? for his development of theory and methods for analyzing discrete choice.

Theory of Choice
  • Language: en
  • Pages: 332

Theory of Choice

Choice theory forms the basis for many scientific fields, such as decision making, mathematical models of micro-economics, voting theory, theory of control in socio-economic systems, and some branches of psychology. This volume is a first monograph summing up major scientific results obtained during two decades. The studies presented in the book go beyond the classical approach with a new look at the mathematical theory of choice, taking into account the dependence of choice on the context. The book also provides a new approach to the voting theory, the basis of which forms the description of individual opinions and collective decision as choice functions. The classical approach is shown to be an important but particular case of the developed theory. Students and scientists in economic, social science, decision making and control theory, will find this book of value. The reader does not need special mathematical knowledge as the book uses mainly set-theoretic language.

Capabilities, Freedom, and Equality
  • Language: en
  • Pages: 580