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Author: H. Brock
Publisher: Springer Science & Business Media
ISBN: 9400995326
Category : Mathematics
Languages : en
Pages : 195
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Book Description
There are problems to whose solution I would attach an infinitely greater import ancf! than to those of mathematics, for example touching ethics, or our relation to God, or conceming our destiny and our future; but their solution lies wholly beyond us and completely outside the province 0 f science. J. F. C. Gauss For a1l his prescience in matters physical and mathematieal, the great Gauss apparently did not foresee one development peculiar to OUT own time. The development I have in mind is the use of mathematical reasoning - in partieu lar the axiomatic method - to explicate alternative concepts of rationality and morality. The present bipartite collection of essays (Vol. 11, Nos. 2 and 3 of this journal) is entitled 'Game Theory, Social Choiee, and Ethics'. The eight papers represent state-of-the-art research in formal moral theory. Their intended aim is to demonstrate how the methods of game theory, decision theory, and axiomatic social choice theory can help to illuminate ethical questions central not only to moral theory, but also to normative public policy analysis. Before discussion of the contents of the papers, it should prove helpful to recall a number of pioneering papers that appeared during the decade of the 1950s. These papers contained aseries of mathematical and conceptual break through which laid the basis for much of today's research in formal moral theory. The papers deal with two somewhat distinct topics: the concept of individual and collective rationality, and the concept of social justiee.
Author: H. Brock
Publisher: Springer Science & Business Media
ISBN: 9400995326
Category : Mathematics
Languages : en
Pages : 195
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Book Description
There are problems to whose solution I would attach an infinitely greater import ancf! than to those of mathematics, for example touching ethics, or our relation to God, or conceming our destiny and our future; but their solution lies wholly beyond us and completely outside the province 0 f science. J. F. C. Gauss For a1l his prescience in matters physical and mathematieal, the great Gauss apparently did not foresee one development peculiar to OUT own time. The development I have in mind is the use of mathematical reasoning - in partieu lar the axiomatic method - to explicate alternative concepts of rationality and morality. The present bipartite collection of essays (Vol. 11, Nos. 2 and 3 of this journal) is entitled 'Game Theory, Social Choiee, and Ethics'. The eight papers represent state-of-the-art research in formal moral theory. Their intended aim is to demonstrate how the methods of game theory, decision theory, and axiomatic social choice theory can help to illuminate ethical questions central not only to moral theory, but also to normative public policy analysis. Before discussion of the contents of the papers, it should prove helpful to recall a number of pioneering papers that appeared during the decade of the 1950s. These papers contained aseries of mathematical and conceptual break through which laid the basis for much of today's research in formal moral theory. The papers deal with two somewhat distinct topics: the concept of individual and collective rationality, and the concept of social justiee.
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Languages : en
Pages :
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Book Description
Author: Charles Blackorby
Publisher: Cambridge University Press
ISBN: 9780521825511
Category : Business & Economics
Languages : en
Pages : 392
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Book Description
This book explores how different ideas of the common good may be compared, contrasted and ranked.
Author: Jörg Rothe
Publisher: Springer Nature
ISBN: 3031600991
Category : Econometrics
Languages : en
Pages : 779
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Book Description
This textbook connects three vibrant areas at the interface between economics and computer science: algorithmic game theory, computational social choice, and fair division. It thus offers an interdisciplinary treatment of collective decision making from an economic and computational perspective. Part I introduces to algorithmic game theory, focusing on both noncooperative and cooperative game theory. Part II introduces to computational social choice, focusing on both preference aggregation (voting) and judgment aggregation. Part III introduces to fair division, focusing on the division of both a single divisible resource ("cake-cutting") and multiple indivisible and unshareable resources ("multiagent resource allocation"). In all these parts, much weight is given to the algorithmic and complexity-theoretic aspects of problems arising in these areas, and the interconnections between the three parts are of central interest.
Author: Jerry S. Kelly
Publisher: Springer Science & Business Media
ISBN: 366209925X
Category : Business & Economics
Languages : en
Pages : 174
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Book Description
This is a textbook introducing selected topics in formal social choice theory. Social choice theory studies group choices that are based on information about preferences of members of the group (voting rules being one important special case). This involves economics, which provides the method of modelling individual decision making; political philosophy, which provides criteria about the allocation of decision-influencing power; and game theory, which provides a framework for thinking about the strategies individuals employ in trying to influence the group choice. The goal of this book is to take basic ideas like impossibility theorems, rights exercising and strategy proofness and give the student just enough technical background to be able to understand these ideas in a logically rigorous way. This is done through a set of 250 exercises that constitute the heart of the book and which differentiate this book from all other texts in social choice theory.
Author: Allan M. Feldman
Publisher: Springer Science & Business Media
ISBN: 038729368X
Category : Business & Economics
Languages : en
Pages : 401
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Book Description
This book covers the main topics of welfare economics — general equilibrium models of exchange and production, Pareto optimality, un certainty, externalities and public goods — and some of the major topics of social choice theory — compensation criteria, fairness, voting. Arrow's Theorem, and the theory of implementation. The underlying question is this: "Is a particular economic or voting mechanism good or bad for society?" Welfare economics is mainly about whether the market mechanism is good or bad; social choice is largely about whether voting mechanisms, or other more abstract mechanisms, can improve upon the results of the market. This second edition updates the material of the first, written by Allan Feldman. It incorporates new sections to existing first-edition chapters, and it includes several new ones. Chapters 4, 6, 11, 15 and 16 are new, added in this edition. The first edition of the book grew out of an undergraduate welfare economics course at Brown University. The book is intended for the undergraduate student who has some prior familiarity with microeconomics. However, the book is also useful for graduate students and professionals, economists and non-economists, who want an overview of welfare and social choice results unburdened by detail and mathematical complexity. Welfare economics and social choice both probably suffer from ex cessively technical treatments in professional journals and monographs.
Author: John C. Harsanyi
Publisher: CUP Archive
ISBN: 9780521311830
Category : Decision-making
Languages : en
Pages : 340
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Book Description
This is a paperback edition of a major contribution to the field, first published in hard covers in 1977. The book outlines a general theory of rational behaviour consisting of individual decision theory, ethics, and game theory as its main branches. Decision theory deals with a rational pursuit of individual utility; ethics with a rational pursuit of the common interests of society; and game theory with an interaction of two or more rational individuals, each pursuing his own interests in a rational manner.
Author: Hans Peters
Publisher: Springer Science & Business Media
ISBN: 3540692916
Category : Business & Economics
Languages : en
Pages : 362
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Book Description
This book presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It covers topics of interest in game theory, including cooperative game theory. Every chapter includes a problem section.
Author: Paul Erickson
Publisher: University of Chicago Press
ISBN: 022609717X
Category : Biography & Autobiography
Languages : en
Pages : 397
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Book Description
Today, game theory is central to our understanding of capitalist markets, the evolution of social behavior in animals, and much more. Both the social and biological sciences have seemingly fused around the game. Yet the ascendancy of game theory and theories of rational choice more generally remains a rich source of misunderstanding. To gain a better grasp of the widespread dispersion of game theory and the mathematics of rational choice, Paul Erickson uncovers its history during the poorly understood period between the publication of John von Neumann and Oskar Morgenstern s seminal "Theory of Games and Economic Behavior" in 1944 and the theory s revival in economics in the 1980s. "The World the Game Theorists Made "reveals how the mathematics of rational choice was a common, flexible language that could facilitate wide-ranging debate on some of the great issues of the time. Because it so actively persists in the sciences and public life, assessing the significance of game theory for the postwar sciences is especially critical now."
Author: Alan D. Taylor
Publisher: Cambridge University Press
ISBN: 0521810523
Category : Business & Economics
Languages : en
Pages : 191
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Book Description
Honesty in voting, it turns out, is not always the best policy. Indeed, in the early 1970s, Allan Gibbard and Mark Satterthwaite, building on the seminal work of Nobel laureate Kenneth Arrow, proved that with three or more alternatives there is no reasonable voting system that is non-manipulable; voters will always have an opportunity to benefit by submitting a disingenuous ballot. The ensuing decades produced a number of theorems of striking mathematical naturality that dealt with the manipulability of voting systems. This 2005 book presents many of these results from the last quarter of the twentieth century, especially the contributions of economists and philosophers, from a mathematical point of view, with many new proofs. The presentation is almost completely self-contained, and requires no prerequisites except a willingness to follow rigorous mathematical arguments. Mathematics students, as well as mathematicians, political scientists, economists and philosophers will learn why it is impossible to devise a completely unmanipulable voting system.
