Other Pages:11 13 15 Author's Profile

Lloyd S Shapley Free eBooks (1)

Author: Lloyd S. Shapley
Source: www.rand.org
Keywords: comparisons, intensity, utility, cardinal
Formats:PDF
Copyrights: Copyrighted

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: Lloyd S. Shapley
Source: www.rand.org
Keywords: theory, game, person
Formats:PDF
Copyrights: Copyrighted

A brief discussion of the current trends of research into the theory of n-person games. An n-person game is defined, along with several key concepts of the theory, such as the Pareto set, the core, the value, stable sets, bargaining sets, and competitive equilibrium. The economic examples given specifically involve the concept of ownership of a productive resource in a multiperson interactive cont......
Author: Lloyd S. Shapley
Source: www.rand.org
Keywords: economics, theoretical, tool, game, value
Formats:PDF
Copyrights: Copyrighted

The "value" is a solution concept for cooperative [n]-person games that gives, for each player, an unbiased measure of his expected marginal worth to a coalition formed at random.In this paper, several games based on very simple economic models dealing with ownership, production, and exchange are formulated and solved for their values.......
Author: Lloyd S. Shapley
Source: www.rand.org
Keywords: games, convex, cores, vii, notes, person
Formats:PDF
Copyrights: Copyrighted

The core of an [n]-person game is the set of outcomes that cannot be blocked by any coalition of players. The Memorandum demonstrates that the core of a convex game has an especially regular structure, and that it is closely related to two other solution concepts: (1) the value solution is the center of gravity of the extreme points of the core, and (2) the von Neumann-Morgenstern stable set solut......
Author: Lloyd S. Shapley
Source: www.rand.org
Keywords: exchange, economy, money, general, vii, large, games, values
Formats:PDF
Copyrights: Copyrighted

An application of the mathematical theory of games to a central problem in theoretical economics. It is shown that the "Shapley value" solution of a certain general class of competitive markets, regarded as multiperson games, converges to the classical "competitive equilibrium" solution when the set of traders in the market is expanded homogeneously. (See also RM-2648, RM-2649, RM-2650, RM-2651, R......
Author: Lloyd S. Shapley
Source: www.rand.org
Keywords: games, simple, compound, solutions
Formats:PDF
Copyrights: Copyrighted

A discussion of the compounding of games and of solutions of compound simple games. The behavior of the solutions of sums and products is investigated and some of the results extended to the case of arbitrary quotients.......
Author: Lloyd S. Shapley
Source: www.rand.org
Keywords: play, fictitious, nonconvergence
Formats:PDF
Copyrights: Copyrighted

An examination of the "method of fictitious play," generally considered a useful tool in game- theoretic analysis. This method, which can be applied to any finite game, imitates a multistage learning process. A counterexample is given to disprove the long-standing conjecture that the method will solve any noncooperative game. It is concluded that the method is of limited reliability in analyzing n......
Author: Lloyd S. Shapley
Source: www.rand.org
Keywords: theory, descriptive, outline, games, simple
Formats:PDF
Copyrights: Copyrighted

A presentation of the elementary properties of "simple" games. These are multiperson games in which each coalition of players is either completely ineffective or able to win outright. A tabulation of all simple games with four or fewer players is included.......
Author: Lloyd S. Shapley
Source: www.rand.org
Keywords: component, closed, arbitrary, containing, solution
Formats:PDF
Copyrights: Copyrighted

A discussion of an [n]-person game solution constructed around an arbitrary closed set.It is shown that there is practically no limit to the possible complexity of solutions.(Also published as RM-1005.)......
Author: Lloyd S. Shapley
Source: www.rand.org
Keywords: payoffs, vector, games, points, equilibrium
Formats:PDF
Copyrights: Copyrighted

A definition and characterization of the equilibrium-point solutions of two-person games in which the payoff takes the form of a vector, the relative values of the components being unknown. (Also published as P-1212.)......
(Total 15 ) 1 2 3 4 5 6 7 8 9 Next