Shapley, Lloyd S. 19232016
Overview
Works:  143 works in 417 publications in 5 languages and 3,869 library holdings 

Genres:  Bibliography Abstracts 
Roles:  Author, Honoree, Editor, Contributor, Other 
Classifications:  QA269, 519.3 
Publication Timeline
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Most widely held works about
Lloyd S Shapley
 <>( Book )
 Shapleyn arvo : katsaus monen henkilön pelien a priori ratkaisun taustaan, määrittelyyn ja ominaisuuksiin by Mika Widgrén( Book )
 The Secret Rules of Modern Living : Algorithms( Visual )
 Efficient mechanisms for multiple public goods by Eyal Winter( )
 Martin Shubik papers by Martin Shubik( )
 John McDonald papers by John McDonald( )
 Martin Shubik papers by Martin Shubik( )
 Bidding with coalitional externalities: a strategic approach to partition function form games by Ju'an Yu( )
more
fewer
Most widely held works by
Lloyd S Shapley
Values of nonatomic games by
Robert J Aumann(
Book
)
23 editions published between 1969 and 2015 in English and Russian and held by 529 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)
23 editions published between 1969 and 2015 in English and Russian and held by 529 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 360 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 360 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
)
34 editions published between 1951 and 1972 in 3 languages and held by 211 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
34 editions published between 1951 and 1972 in 3 languages and held by 211 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 by
T. E. S Raghavan(
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
)
10 editions published between 1996 and 2008 in English and held by 110 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
10 editions published between 1996 and 2008 in English and held by 110 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
)
6 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
6 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
)
8 editions published between 1972 and 1975 in English and held by 102 WorldCat member libraries worldwide
8 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 100 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 100 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
)
6 editions published between 1971 and 1974 in English and held by 93 WorldCat member libraries worldwide
6 editions published between 1971 and 1974 in English and held by 93 WorldCat member libraries worldwide
Trade using one commodity as a means of payment by
Lloyd S Shapley(
Book
)
5 editions published between 1975 and 1977 in English and held by 81 WorldCat member libraries worldwide
5 editions published between 1975 and 1977 in English and held by 81 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
A note on the LemkeHowson algorithm by
Lloyd S Shapley(
Book
)
5 editions published between 1974 and 1975 in English and held by 65 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
5 editions published between 1974 and 1975 in English and held by 65 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. Prepared for the National Science Foundations by
Lloyd S Shapley(
Book
)
4 editions published between 1974 and 1975 in English and held by 64 WorldCat member libraries worldwide
4 editions published between 1974 and 1975 in English and held by 64 WorldCat member libraries worldwide
On Milnor's class "L" notes on nperson games VIII by
Lloyd S Shapley(
Book
)
3 editions published between 1971 and 1972 in English and held by 64 WorldCat member libraries worldwide
3 editions published between 1971 and 1972 in English and held by 64 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 64 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 64 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, I : a limit theorem by
Norman Zalmon Shapiro(
Book
)
5 editions published between 1960 and 1977 in English and held by 62 WorldCat member libraries worldwide
5 editions published between 1960 and 1977 in English and held by 62 WorldCat member libraries worldwide
Cardinal utility from intensity comparisons by
Lloyd S Shapley(
Book
)
5 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)
5 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)
Values of large games, II : oceanic games by
John W Milnor(
Book
)
6 editions published between 1961 and 1977 in English and held by 62 WorldCat member libraries worldwide
6 editions published between 1961 and 1977 in English and held by 62 WorldCat member libraries worldwide
Game theory by
Lloyd S Shapley(
Book
)
4 editions published between 1971 and 1979 in English and held by 61 WorldCat member libraries worldwide
An introduction to the principles of game theory is presented through the following examples and discussions: matching pennies, modified matching game, a game of ruin, noisy duel, silent duel, some definitions and formal results, attacking targets of unequal importance, the trader and the cannibal, twoperson nonzero sum games, nperson games (the princess and her three suitors, the bankruptcy court, a pure coalition game, the community of ShangriLa, games of deterence)
4 editions published between 1971 and 1979 in English and held by 61 WorldCat member libraries worldwide
An introduction to the principles of game theory is presented through the following examples and discussions: matching pennies, modified matching game, a game of ruin, noisy duel, silent duel, some definitions and formal results, attacking targets of unequal importance, the trader and the cannibal, twoperson nonzero sum games, nperson games (the princess and her three suitors, the bankruptcy court, a pure coalition game, the community of ShangriLa, games of deterence)
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
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Related Identities
 Rand Corporation
 Aumann, Robert J. Author
 Shubik, Martin
 Roth, Alvin E. 1951 Other 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
 Scarf, Herbert E. Author
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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 Debreu, Gerard Distribution (Probability theory) Economics Economics, Mathematical EconomicsComputer simulation EconomicsMathematical models EconomicsStudy and teaching Economists Eisner, Dorothy Equilibrium (Economics) Equilibrium (Economics)Mathematical models Euclidean algorithm Financial institutionsEconomic aspects Games of strategy (Mathematics) Game theory Human face recognition (Computer science) Industrial management Interest Mathematical statistics Moment spaces MoneyMathematical models Morgenstern, Oskar, New York (State)New York Osborn, Robert Chesley, Political games 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,
Alternative Names
Lloyd S. Shapley
Lloyd S. Shapley USamerikanischer Ökonom und Mathematiker
Lloyd Şepli
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
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 19232016
Shapley , Lloyd Stowell
Shapley, Lloyd Stowell 1923
Shapley, Lloyd Stowell 19232016
Ллойд Ставелл Шеплі
Ллойд Шепли
Лойд Шэплі
Шепли, Ллойд
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לויד שפלי
لائڈ شیپلے
للویڈ شیپلی
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لوید شپلی اقتصاددان و ریاضیدان آمریکایی
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