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Some Recursive Definitions of the Shapley Value and Other Linear Values of Cooperative TU Games
(University of Texas at Arlington, 1997)
**Please note that the full text is embargoed** ABSTRACT: Let N be a finite set of players, |N| = n; a cooperative TU game in coalitional form is a function v : P(N) -> R, with v(ø) = 0. It is well known that the set of ...
The Least Square Values and the Shapley Value for Cooperative TU Games
(University of Texas at Arlington, 2003-05)
**Please note that the full text is embargoed** ABSTRACT: The Least Square Values (briefly LS-values), represent a family of values for cooperative transferable utility games, introduced by L. Ruiz. F. Valenciano and ...
Banzhaf Permission Values for Games with Permission Structure
(University of Texas at Arlington, 2000-05)
**Please note that the full text is embargoed** ABSTRACT: A game with a permission structure describes a situation in which cooperation possibilities in a cooperative game with transferable utility are limited because there ...
On The Inverse Problem for Semivalues of Cooperative TU Games
(University of Texas at Arlington, 2002-04)
**Please note that the full text is embargoed** ABSTRACT: In the present paper, we define a basis of [see pdf for notation] relative to a Semivalue, we compute the potentials of the subgames of a given game, to show that ...
A Value for Digraph-restricted Games
(University of Texas at Arlington, 1997)
**Please note that the full text is embargoed** ABSTRACT: Digraph-restricted games model situations where some of the players, due to the lack of communication among them, are unable to cooperate. A digraph-restricted game ...
On the Semivalues and the Power Core of Cooperative TU Games
(University of Texas at Arlington, 1999-09)
**Please note that the full text is embargoed** ABSTRACT: The Semivalues were introduced axiomatically by P.Dubey, A.Neyman and R.J.Weber (1981) as an important class of values for cooperative TU games. This class contains ...
An Average Per Capita Formula for the Shapely Value
(University of Texas at Arlington, 1992-09)
**Please note that the full text is embargoed** ABSTRACT: A new formula for the Shapley value is given which does not require the storage of the [see pdf for notation] values of the characteristic function in the computer, ...
New Mathematical Properties of the Least Square Value
(University of Texas at Arlington, 1996-03)
**Please note that the full text is embargoed** ABSTRACT: The Least Square Values for cooperative TU games (briefly, LS-values) represent a family of solutions of the following family of optimization
problems associated ...
Potential and Consistency for Semivalues of Finite Cooperative TU Games
(University of Texas at Arlington, 1998-01)
**Please note that the full text is embargoed** ABSTRACT: A new axiomatic characterization of the semivalues of finite cooperative n-person games with transferable utilities is given, by using a potential function. The ...