Shapley, Lloyd S. 19232016
Overview
Works:  151 works in 461 publications in 5 languages and 4,467 library holdings 

Genres:  Bibliography Abstracts 
Roles:  Author, Editor, Honoree, Contributor, Other 
Classifications:  QA269, 519.3 
Publication Timeline
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Most widely held works about
Lloyd S Shapley
 The Secret Rules of Modern Living : Algorithms( Visual )
 Shapleyn arvo : katsaus monen henkilön pelien a priori ratkaisun taustaan, määrittelyyn ja ominaisuuksiin by Mika Widgrén( Book )
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 Bidding with coalitional externalities a strategic approach to partition function from games by Ju'an Yu( )
 Martin Shubik papers by Martin Shubik( )
 Martin Shubik papers by Martin Shubik( )
 Efficient mechanisms for multiple public goods by Eyal Winter( )
 John McDonald papers by John McDonald( Visual )
more
fewer
Most widely held works by
Lloyd S Shapley
Values of nonatomic games by
Robert J Aumann(
)
27 editions published between 1970 and 2015 in English and Russian and held by 1,176 WorldCat member libraries worldwide
The report concludes a fivepart series on the mathematical theory of nonatomic games. The term nonatomic, borrowed from measure theory and probability theory, signifies that in these games with infinitely many participants, no single individual is big enough to influence the outcome by himself. Such games have served as mathematical models for largescale competitive systems in economics or politics. In this report the applications of the theory to a class of economics models are developed
27 editions published between 1970 and 2015 in English and Russian and held by 1,176 WorldCat member libraries worldwide
The report concludes a fivepart series on the mathematical theory of nonatomic games. The term nonatomic, borrowed from measure theory and probability theory, signifies that in these games with infinitely many participants, no single individual is big enough to influence the outcome by himself. Such games have served as mathematical models for largescale competitive systems in economics or politics. In this report the applications of the theory to a class of economics models are developed
The Shapley value : essays in honor of Lloyd S. Shapley by
Alvin E Roth(
Book
)
19 editions published between 1988 and 2008 in English and held by 362 WorldCat member libraries worldwide
Composed in honour of the sixtyfifth birthday of Lloyd Shapley, this volume makes accessible the large body of work that has grown out of Shapley's seminal 1953 paper. Each of the twenty essays concerns some aspect of the Shapley value. Three of the chapters are reprints of the 'ancestral' papers: Chapter 2 is Shapley's original 1953 paper defining the value; Chapter 3 is the 1954 paper by Shapley and Shubik applying the value to voting models; and chapter 19 is Shapley's 1969 paper defining a value for games without transferable utility. The other seventeen chapters were contributed especially for this volume. The first chapter introduces the subject and the other essays in the volume, and contains a brief account of a few of Shapley's other major contributions to game theory. The other chapters cover the reformulations, interpretations and generalizations that have been inspired by the Shapley value, and its applications to the study of coalition formulation, to the organization of large markets, to problems of cost allocation, and to the study of games in which utility is not transferable
19 editions published between 1988 and 2008 in English and held by 362 WorldCat member libraries worldwide
Composed in honour of the sixtyfifth birthday of Lloyd Shapley, this volume makes accessible the large body of work that has grown out of Shapley's seminal 1953 paper. Each of the twenty essays concerns some aspect of the Shapley value. Three of the chapters are reprints of the 'ancestral' papers: Chapter 2 is Shapley's original 1953 paper defining the value; Chapter 3 is the 1954 paper by Shapley and Shubik applying the value to voting models; and chapter 19 is Shapley's 1969 paper defining a value for games without transferable utility. The other seventeen chapters were contributed especially for this volume. The first chapter introduces the subject and the other essays in the volume, and contains a brief account of a few of Shapley's other major contributions to game theory. The other chapters cover the reformulations, interpretations and generalizations that have been inspired by the Shapley value, and its applications to the study of coalition formulation, to the organization of large markets, to problems of cost allocation, and to the study of games in which utility is not transferable
Geometry of moment spaces by
Samuel Karlin(
Book
)
36 editions published between 1951 and 1972 in 3 languages and held by 255 WorldCat member libraries worldwide
This paper presents a natural geometrical approach to the theory of reduced moment spaces and its application to orthogonal polynomials. The work is concerned primarily with distribution functions on a finite interval
36 editions published between 1951 and 1972 in 3 languages and held by 255 WorldCat member libraries worldwide
This paper presents a natural geometrical approach to the theory of reduced moment spaces and its application to orthogonal polynomials. The work is concerned primarily with distribution functions on a finite interval
Stochastic games and related topics : in honor of Professor L.S. Shapley(
Book
)
12 editions published between 1990 and 1991 in English and held by 179 WorldCat member libraries worldwide
12 editions published between 1990 and 1991 in English and held by 179 WorldCat member libraries worldwide
Statistics, probability, and game theory : papers in honor of David Blackwell(
Book
)
11 editions published between 1996 and 2008 in English and held by 119 WorldCat member libraries worldwide
This ebook is the product of Project Euclid and its mission to advance scholarly communication in the field of theoretical and applied mathematics and statistics. Project Euclid was developed and deployed by the Cornell University Library and is jointly managed by Cornell and the Duke University Press
11 editions published between 1996 and 2008 in English and held by 119 WorldCat member libraries worldwide
This ebook is the product of Project Euclid and its mission to advance scholarly communication in the field of theoretical and applied mathematics and statistics. Project Euclid was developed and deployed by the Cornell University Library and is jointly managed by Cornell and the Duke University Press
Competitive outcomes in the cores of market games by
Lloyd S Shapley(
Book
)
7 editions published between 1970 and 1975 in English and held by 110 WorldCat member libraries worldwide
The competitive outcomes of an economic system are known, under quite general conditions, always to lie in the core of the associated cooperative game. It is shown here that every 'market game' (i.e., one that arises from an exchange economy with money) can be represented by a 'direct market' whose competitive outcomes completely fill the core. It is also shown that it can be represented by a market having any given core outcome as its unique competitive outcome, or, more generally, having any given compact convex subset of the core as its full set of competitive outcomes
7 editions published between 1970 and 1975 in English and held by 110 WorldCat member libraries worldwide
The competitive outcomes of an economic system are known, under quite general conditions, always to lie in the core of the associated cooperative game. It is shown here that every 'market game' (i.e., one that arises from an exchange economy with money) can be represented by a 'direct market' whose competitive outcomes completely fill the core. It is also shown that it can be represented by a market having any given core outcome as its unique competitive outcome, or, more generally, having any given compact convex subset of the core as its full set of competitive outcomes
On cores and indivisibility by
Lloyd S Shapley(
Book
)
9 editions published between 1972 and 1975 in English and held by 102 WorldCat member libraries worldwide
9 editions published between 1972 and 1975 in English and held by 102 WorldCat member libraries worldwide
On balanced games without side payments by
Lloyd S Shapley(
Book
)
12 editions published between 1969 and 1973 in English and held by 101 WorldCat member libraries worldwide
In the paper the author presents a new proof of a basic theorem of game theory, due to Scarf, which states that every balanced game without side payments has a nonempty core. The main tool is a generalization of Sperner's celebrated topological lemma concerning triangulations of the simplex
12 editions published between 1969 and 1973 in English and held by 101 WorldCat member libraries worldwide
In the paper the author presents a new proof of a basic theorem of game theory, due to Scarf, which states that every balanced game without side payments has a nonempty core. The main tool is a generalization of Sperner's celebrated topological lemma concerning triangulations of the simplex
Game theory in economics by
Lloyd S Shapley(
Book
)
11 editions published between 1971 and 1974 in English and Undetermined and held by 98 WorldCat member libraries worldwide
11 editions published between 1971 and 1974 in English and Undetermined and held by 98 WorldCat member libraries worldwide
Trade using one commodity as a means of payment by
Lloyd S Shapley(
Book
)
4 editions published between 1976 and 1977 in English and held by 77 WorldCat member libraries worldwide
4 editions published between 1976 and 1977 in English and held by 77 WorldCat member libraries worldwide
On the accessibility of fixed points by
Lloyd S Shapley(
Book
)
4 editions published in 1981 in English and held by 75 WorldCat member libraries worldwide
4 editions published in 1981 in English and held by 75 WorldCat member libraries worldwide
Values of large games, I : a limit theorem by
Norman Zalmon Shapiro(
Book
)
6 editions published between 1960 and 1977 in English and held by 69 WorldCat member libraries worldwide
An analysis of what happens in a weighted majority game when a block of votes is broken up and distributed among a large number of players. It is shown that the value of the game to the other players converges to a limit as the size of the largest fragment tends to zero. An explicit expression is given for the limit
6 editions published between 1960 and 1977 in English and held by 69 WorldCat member libraries worldwide
An analysis of what happens in a weighted majority game when a block of votes is broken up and distributed among a large number of players. It is shown that the value of the game to the other players converges to a limit as the size of the largest fragment tends to zero. An explicit expression is given for the limit
On Milnor's class "L" : notes on nperson games VIII by
Lloyd S Shapley(
Book
)
2 editions published in 1971 in English and held by 66 WorldCat member libraries worldwide
2 editions published in 1971 in English and held by 66 WorldCat member libraries worldwide
A note on the LemkeHowson algorithm by
Lloyd S Shapley(
Book
)
6 editions published between 1974 and 1975 in English and held by 66 WorldCat member libraries worldwide
The LemkeHowson algorithm for bimatrix games provides both an elementary proof of the existence of equilibrium points and an efficient computational method for finding at least one equilibrium point. The first half of this report presents a geometrical view of the algorithm that makes its operation especially easy to visualize. Several illustrations are given, including Wilson's example of 'inaccessible' equilibrium points. The second half presents an orientation theory for the equilibrium points of (nondegenerate) bimatrix games and the LemkeHowson paths that interconnect them; in particular, it is shown that there is always one more 'negative' than 'positive' equilibrium point
6 editions published between 1974 and 1975 in English and held by 66 WorldCat member libraries worldwide
The LemkeHowson algorithm for bimatrix games provides both an elementary proof of the existence of equilibrium points and an efficient computational method for finding at least one equilibrium point. The first half of this report presents a geometrical view of the algorithm that makes its operation especially easy to visualize. Several illustrations are given, including Wilson's example of 'inaccessible' equilibrium points. The second half presents an orientation theory for the equilibrium points of (nondegenerate) bimatrix games and the LemkeHowson paths that interconnect them; in particular, it is shown that there is always one more 'negative' than 'positive' equilibrium point
An example of a trading economy with three competitive equilibria by
Lloyd S Shapley(
Book
)
4 editions published between 1970 and 1977 in English and held by 65 WorldCat member libraries worldwide
This brief note is presented as a convenience for those who wish to see what an actual numerical example of a smooth trading economy with multiple equilibria looks like in terms of an Edgeworth box diagram. The authors present a two trader two commodity example in terms of a fanciful exchange between two kinds of money
4 editions published between 1970 and 1977 in English and held by 65 WorldCat member libraries worldwide
This brief note is presented as a convenience for those who wish to see what an actual numerical example of a smooth trading economy with multiple equilibria looks like in terms of an Edgeworth box diagram. The authors present a two trader two commodity example in terms of a fanciful exchange between two kinds of money
Values of large games, II : oceanic games by
John W Milnor(
Book
)
6 editions published between 1961 and 1977 in English and held by 63 WorldCat member libraries worldwide
A value theory is developed for voting games in which a sizable fraction of the total vote is controlled by a few major players and the rest is distributed among a continuous infinity of individually insignificant minor players. The latter are referred to collectively as an "ocean," to suggest the total lack of order or cohesion that is assumed
6 editions published between 1961 and 1977 in English and held by 63 WorldCat member libraries worldwide
A value theory is developed for voting games in which a sizable fraction of the total vote is controlled by a few major players and the rest is distributed among a continuous infinity of individually insignificant minor players. The latter are referred to collectively as an "ocean," to suggest the total lack of order or cohesion that is assumed
Game theory by
Lloyd S Shapley(
Book
)
4 editions published between 1971 and 1979 in English and held by 63 WorldCat member libraries worldwide
A layman's account of the principal concepts of game theory, written for the Academic American Encyclopedia. After a brief survey, several simple models are presented, suggestive of applications to tactical and allocation problems, political representation, evolutionary survival, etc., and the gametheoretic solutions of these models are discussed
4 editions published between 1971 and 1979 in English and held by 63 WorldCat member libraries worldwide
A layman's account of the principal concepts of game theory, written for the Academic American Encyclopedia. After a brief survey, several simple models are presented, suggestive of applications to tactical and allocation problems, political representation, evolutionary survival, etc., and the gametheoretic solutions of these models are discussed
Cardinal utility from intensity comparisons by
Lloyd S Shapley(
Book
)
6 editions published in 1975 in English and held by 62 WorldCat member libraries worldwide
A proof that a cardinal utility function is determined if changes between outcomes, as well as the outcomes themselves, can be ranked in order of desirability. It is assumed that a numerical ordinal utility function with convex range is already given, and that the ranking of changes is continuous and enjoys a certain 'crossover' property that is characteristic of difference comparisons. (Author)
6 editions published in 1975 in English and held by 62 WorldCat member libraries worldwide
A proof that a cardinal utility function is determined if changes between outcomes, as well as the outcomes themselves, can be ranked in order of desirability. It is assumed that a numerical ordinal utility function with convex range is already given, and that the ranking of changes is continuous and enjoys a certain 'crossover' property that is characteristic of difference comparisons. (Author)
An example of a slowconverging core. by
Lloyd S Shapley(
Book
)
3 editions published between 1974 and 1975 in English and held by 62 WorldCat member libraries worldwide
3 editions published between 1974 and 1975 in English and held by 62 WorldCat member libraries worldwide
A comparison of power indices and a nonsymmetric generalization by
Lloyd S Shapley(
Book
)
6 editions published between 1970 and 1977 in English and held by 60 WorldCat member libraries worldwide
6 editions published between 1970 and 1977 in English and held by 60 WorldCat member libraries worldwide
more
fewer
Audience Level
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Related Identities
 Rand Corporation
 Aumann, Robert J. Author
 Shubik, Martin
 Roth, Alvin E. 1951 Other Editor
 Karlin, Samuel 19232007 Author
 National Science Foundation (U.S.) Editor
 Raghavan, T. E. S. Editor
 MacQueen, J. B. (James B.) Editor
 Ferguson, Thomas S. (Thomas Shelburne) 1929 Editor
 Blackwell, David 19192010 Honoree Dedicatee
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Associated Subjects
Algorithms Arrow, Kenneth J.(Kenneth Joseph), BankruptcyEconomic aspects Business Chandler, Alfred D.(Alfred Dupont), Commission of Inquiry into the Charges Made Against Leon Trotsky in the Moscow Trials, New York, 1937 Debreu, Gerard Distribution (Probability theory) Economics Economics, Mathematical EconomicsComputer simulation EconomicsMathematical models EconomicsStudy and teaching Economists Equilibrium (Economics) Equilibrium (Economics)Mathematical models Euclidean algorithm Financial institutionsEconomic aspects Gale, David, Games of strategy (Mathematics) Game theory Human face recognition (Computer science) Industrial management Interest MasColell, Andreu Mathematical statistics Moment spaces MoneyMathematical models Morgenstern, Oskar, Osborn, Robert Chesley, Prices PricesMathematical models Probabilities Problem solving Rand Corporation Samuelson, Paul A.(Paul Anthony), Shapley, Lloyd S., Shubik, Martin Simulation methods Solow, Herbert, Stochastic processes Strategic planningMathematical models Supply and demandMathematical models Treatise of fishing (Berners, Juliana) Turing, Alan Mathison, United States Utility theory Von Neumann, John, VotingMathematical models Weinberg, Alvin Martin,
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Alternative Names
Lloyd S. Shapley
Lloyd S. Shapley USamerikanischer Ökonom und Mathematiker
Lloyd Şepli
Lloyd Shapley americký matematik a ekonom
Lloyd Shapley Amerikaans wiskundige
Lloyd Shapley amerikai matematikus és közgazdász
Lloyd Shapley amerikansk matematikar og økonom
Lloyd Shapley amerikansk matematiker och ekonom
Lloyd Shapley amerikansk matematiker og økonom
Lloyd Shapley matemático y economista estadounidense
Lloyd Shapley mathématicien et économiste américain
Lloyd Stowell Shapley matematico e economista statunitense
Loids Šeplijs
Šepli, L.
Ṡepli, L. 19232016
Šepli, Llojd 19232016
Shapley, L. 19232016
Shapley , L. S.
Shapley, L. S. 1923
Shapley, L. S. 19232016
Shapley, L. S. (Lloyd S.), 19232016
Shapley. Lloyd
Shapley, Lloyd 19232016
Shapley , Lloyd Stowell
Shapley, Lloyd Stowell 1923
Shapley, Lloyd Stowell 19232016
Ллойд Ставелл Шеплі
Ллойд Шепли
Лойд Шэплі
Шепли, Ллойд
Լլոյդ Շեփլի
לויד שפלי
لائڈ شیپلے
للویڈ شیپلی
لويد شابلي
لوید شپلی اقتصاددان و ریاضیدان آمریکایی
লয়েড শ্যাপলে
இலாயிடு சேப்ளி
ლოიდ შეპლი
ლოიდ შეპლი ამერიკელი ეკონომისტი და მათემატიკოსი
로이드 섀플리
ロイド・シャープレー
劳埃德·沙普利
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