Browsing Department of Mathematics by Subject "Banzhaf value"

Now showing items 1-5 of 5

    • Banzhaf Permission Values for Games with Permission Structure 

      van den Brink, Rene (University of Texas at ArlingtonDepartment of Mathematics, 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 ...

    • The Least Square Values and the Shapley Value for Cooperative TU Games 

      Dragan, Irinel C. (University of Texas at ArlingtonDepartment of Mathematics, 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 ...

    • New Mathematical Properties of the Banzhaf Value 

      Dragan, Irinel C. (University of Texas at ArlingtonDepartment of Mathematics, 1995-01)
      **Please note that the full text is embargoed** ABSTRACT: In a paper by P. Dubey and L.S. Shapley an axiomatic definition of the Banzhaf value has been extracted from an axiomatic definition of the Banzhaf power index (see ...

    • On The Inverse Problem for Semivalues of Cooperative TU Games 

      Dragan, Irinel C. (University of Texas at ArlingtonDepartment of Mathematics, 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 ...

    • Some Recursive Definitions of the Shapley Value and Other Linear Values of Cooperative TU Games 

      Dragan, Irinel C. (University of Texas at ArlingtonDepartment of Mathematics, 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 ...