Axiomatizations of the proportional Shapley value
نویسندگان
چکیده
منابع مشابه
Axiomatizations of the proportional Shapley value
We provide new axiomatic characterizations of the proportional Shapley value, a weighted value with the worths of the singletons as weights. This value satisfies anonymity and therefore symmetry just as the Shapley value and has characterizations which are proportional counterparts to the famous characterizations of the Shapley value in Shapley (1953b), Myerson (1980) and Young (1985a). If the ...
متن کاملThe proportional partitional Shapley value
A new coalitional value is proposed under the hypothesis of isolated unions. The main difference between this value and the Aumann–Drèze value is that the allocations within each union are not given by the Shapley value of the restricted game but proportionally to the Shapley value of the original game. Axiomatic characterizations of the new value, examples illustrating its application and a co...
متن کاملAxiomatizations of the Shapley value for cooperative games on antimatroids
Cooperative games on antimatroids are cooperative games restricted by a combinatorial structure which generalize the permission structure. So, cooperative games on antimatroids group several well-known families of games which have important applications in economics and politics. Therefore, the study of the rectricted games by antimatroids allows to unify criteria of various lines of research. ...
متن کاملOn axiomatizations of the Shapley value for assignment games∗
We consider the problem of axiomatizing the Shapley value on the class of assignment games. We first show that several axiomatizations of the Shapley value on the class of all TU-games do not characterize this solution on the class of assignment games by providing alternative solutions that satisfy these axioms. However, when considering an assignment game as a communication graph game where th...
متن کاملAxiomatizations of the Shapley value for games on augmenting systems
Article history: Received 31 October 2007 Accepted 24 April 2008 Available online 4 May 2008
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Theory and Decision
سال: 2019
ISSN: 0040-5833,1573-7187
DOI: 10.1007/s11238-019-09687-7