Add to ORKGThe notions of total power and potential, both defined for any semivalue, give rise to two endomorphisms of the vector space of cooperative games on any given player set where the semivalue is defined. Several properties of these linear mappings are stated and the role of unanimity games as eigenvectors is described. We also relate in both cases the multilinear extension of the image game to the multilinear extension of the original game. As a consequence, we derive a method to compute for any semivalue by means of multilinear extensions, in the original game and also in all its subgames, (a) the total power, (b) the potential, and (c) the allocation to each player given by the semivalue.Cooperative game Semivalue Power Potential Multilinea...
The multilinear extension of a cooperative game was introduced by Owen in 1972. In this contribution...
We provide a condition guaranteeing when a value defined on the base of the unanimity games and exte...
Under multicriteria situations, we define a power mensuration rule and its efficient extension by...
The notions of total power and potential, both defined for any semivalue, give rise to two endomorph...
The notions of power and potential, both defined for any semivalue, give rise to two endomorphisms o...
The notions of power and potential, both defined for any semivalue, give rise to two endomorphisms o...
Concerning the solution theory for cooperative games with transferable utility, it is well-known tha...
The semivalues are solution concepts for cooperative games that assign to each player a weighted sum...
In this monograph, the algebraic representation and the matrix approach are applied to study linear ...
Several relationships between simple games and a particular type of solu- tions for cooperative game...
In this monograph, the algebraic representation and the matrix approach are applied to study linear ...
We consider a family of mixed coalitional values. They apply to games with a coalition structure by ...
This is a post-peer-review, pre-copyedit version of an article published in [insert journal title]. ...
The goal of the paper is to introduce a family of values for transferable utility cooperative games ...
Semivalues are solution concepts for cooperative games that assign to each player a weighted sum of ...
The multilinear extension of a cooperative game was introduced by Owen in 1972. In this contribution...
We provide a condition guaranteeing when a value defined on the base of the unanimity games and exte...
Under multicriteria situations, we define a power mensuration rule and its efficient extension by...
The notions of total power and potential, both defined for any semivalue, give rise to two endomorph...
The notions of power and potential, both defined for any semivalue, give rise to two endomorphisms o...
The notions of power and potential, both defined for any semivalue, give rise to two endomorphisms o...
Concerning the solution theory for cooperative games with transferable utility, it is well-known tha...
The semivalues are solution concepts for cooperative games that assign to each player a weighted sum...
In this monograph, the algebraic representation and the matrix approach are applied to study linear ...
Several relationships between simple games and a particular type of solu- tions for cooperative game...
In this monograph, the algebraic representation and the matrix approach are applied to study linear ...
We consider a family of mixed coalitional values. They apply to games with a coalition structure by ...
This is a post-peer-review, pre-copyedit version of an article published in [insert journal title]. ...
The goal of the paper is to introduce a family of values for transferable utility cooperative games ...
Semivalues are solution concepts for cooperative games that assign to each player a weighted sum of ...
The multilinear extension of a cooperative game was introduced by Owen in 1972. In this contribution...
We provide a condition guaranteeing when a value defined on the base of the unanimity games and exte...
Under multicriteria situations, we define a power mensuration rule and its efficient extension by...