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In an article by Hamiache (IJGT, 2001) an axiomatization of the Shapley value has been proposed. Three axioms were called on, inessential game, continuity and associated consistency. This present article proposes a new proof, based on elementary linear algebra. Games are represented by vectors....
Persistent link: https://www.econbiz.de/10008725918
The mean value is a new extension of the Shapley value for games with communication structure representable by a simple graph; only pairwise meetings can occur, although some of them might not be permitted. The new value is characterized by a set of axioms of which the one with the most...
Persistent link: https://www.econbiz.de/10005755754
In this work, a new axiomatization of the Shapley is presented. An associated game is constructed. We define a sequence of games, when the term of order n, in this sequence, is the associated game of the term of order (n-1). We show that the sequence converges and that the limit game is...
Persistent link: https://www.econbiz.de/10005755793
Persistent link: https://www.econbiz.de/10008486624
In view of the nature of pursuing profit, a selfish coefficient function is employed to describe the degrees of selfishness of players in different coalitions, which is the desired rate of return to the worth of coalitions. This function brings in the concept of individual expected reward to...
Persistent link: https://www.econbiz.de/10011794249
This paper presents two new axiomatizations of the Owen value for games with coalition structures. Two associated games are defined and a consistency axiom is required. The construction of the associated games presupposes that coalitions behave in an aggressive manner towards players who are not...
Persistent link: https://www.econbiz.de/10005375631
In view of the nature of pursuing profit, a selfish coefficient function is employed to describe the degrees of selfishness of players in different coalitions, which is the desired rate of return to the worth of coalitions. This function brings in the concept of individual expected reward to...
Persistent link: https://www.econbiz.de/10011819517
Ecological, toxicological, and pharmacological research is often concerned with the answer to the question of how a substance is processed within a biological system. The exact knowledge of the corresponding kinetic pattern forms the basis for a useful answer. In order to identify non-linear...
Persistent link: https://www.econbiz.de/10010316543
The first aim of this paper is to clarify the differences and rela-tionships between cumulative advantage/disadvantage and the Matthew ef-fect. Its second aim, which is also its main contribution, is not only to present a new measure of the Matthew effect, but also to show how to esti-mate this...
Persistent link: https://www.econbiz.de/10010321398
1. Introduction -- 2. It's Only Fair -- 3. Making Change Happen: It's All (or at Least Largely) in the Process -- 4. Taking the Process Personally -- 5. For Ethicality, the Process Also Matters -- 6. A High-Quality Process: Easier Said Than Done -- Appendixes -- A. The Change Implementation...
Persistent link: https://www.econbiz.de/10011396505