Shapley, Lloyd S. 19232016
Overview
Works:  162 works in 462 publications in 4 languages and 4,492 library holdings 

Genres:  Bibliography Abstracts 
Roles:  Author, Editor, Honoree, Contributor, Other 
Classifications:  QA269, 519.3 
Publication Timeline
.
Most widely held works about
Lloyd S Shapley
 The Secret Rules of Modern Living : Algorithms( Visual )
 <>( Book )
 Shapleyn arvo : katsaus monen henkilön pelien a priori ratkaisun taustaan, määrittelyyn ja ominaisuuksiin by Mika Widgrén( Book )
 Martin Shubik papers by Martin Shubik( )
 John McDonald papers by John McDonald( Visual )
 Efficient mechanisms for multiple public goods by Eyal Winter( )
 Martin Shubik papers by Martin Shubik( )
 Bidding with coalitional externalities a strategic approach to partition function from games by Ju'an Yu( )
more
fewer
Most widely held works by
Lloyd S Shapley
Values of nonatomic games by
Robert J Aumann(
)
20 editions published between 1970 and 2015 in English and held by 1,155 WorldCat member libraries worldwide
A nonatomic game is a special kind of infiniteperson game, in which no individual player has significance; such games have recently attracted attention as models for mass phenomena in economics. In this Memorandum, the characteristic function of the game is extended to a space that includes not only the ordinary coalitions (measurable sets) of players, but also certain 'ideal' coalitionsintuitively, sets to which a player can 'belong' at any intensity between 0 and 1. The value of the game is then redefined in terms of the derivatives of this extended function, following the principle that a player's value is based upon his incremental worth to coalitions. The close relation between this definition and those previously considered is established. (Author)
20 editions published between 1970 and 2015 in English and held by 1,155 WorldCat member libraries worldwide
A nonatomic game is a special kind of infiniteperson game, in which no individual player has significance; such games have recently attracted attention as models for mass phenomena in economics. In this Memorandum, the characteristic function of the game is extended to a space that includes not only the ordinary coalitions (measurable sets) of players, but also certain 'ideal' coalitionsintuitively, sets to which a player can 'belong' at any intensity between 0 and 1. The value of the game is then redefined in terms of the derivatives of this extended function, following the principle that a player's value is based upon his incremental worth to coalitions. The close relation between this definition and those previously considered is established. (Author)
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 367 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 367 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
)
35 editions published between 1951 and 1972 in 3 languages and held by 258 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
35 editions published between 1951 and 1972 in 3 languages and held by 258 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
)
10 editions published between 1990 and 1991 in English and held by 183 WorldCat member libraries worldwide
10 editions published between 1990 and 1991 in English and held by 183 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 111 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 111 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 104 WorldCat member libraries worldwide
9 editions published between 1972 and 1975 in English and held by 104 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
)
13 editions published between 1971 and 1974 in English and Undetermined and held by 101 WorldCat member libraries worldwide
13 editions published between 1971 and 1974 in English and Undetermined and held by 101 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 79 WorldCat member libraries worldwide
4 editions published between 1976 and 1977 in English and held by 79 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 76 WorldCat member libraries worldwide
4 editions published in 1981 in English and held by 76 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 70 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 70 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
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 slowconverging core. by
Lloyd S Shapley(
Book
)
4 editions published between 1974 and 1975 in English and Undetermined and held by 66 WorldCat member libraries worldwide
4 editions published between 1974 and 1975 in English and Undetermined and held by 66 WorldCat member libraries worldwide
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 65 WorldCat member libraries worldwide
2 editions published in 1971 in English and held by 65 WorldCat member libraries worldwide
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
Cardinal utility from intensity comparisons by
Lloyd S Shapley(
Book
)
6 editions published in 1975 in English and held by 63 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 63 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)
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
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
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
0 

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Related Identities
 Rand Corporation
 Aumann, Robert J. Author
 Shubik, Martin
 Roth, Alvin E. 1951 Other Editor
 National Science Foundation (U.S.) Editor
 Karlin, Samuel 19232007 Author
 Raghavan, T. E. S. Editor
 Ferguson, Thomas S. (Thomas Shelburne) 1929 Editor
 MacQueen, J. B. (James B.) Editor
 Blackwell, David 19192010 Honoree Dedicatee
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Associated Subjects
Algorithms 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 Convergence 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 Fly fishing 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, 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, United States Utility theory Von Neumann, John, VotingMathematical models Weinberg, Alvin Martin,
Covers
Alternative Names
Lloyd S. Shapley
Lloyd S. Shapley USamerikanischer Ökonom und Mathematiker
Lloyd Şepli
Lloyd Shapley
Lloyd Shapley American economist and mathematician
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
劳埃德·沙普利 美國經濟學家和數學家
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