Generalized Coleman-Shapley indices and total-power monotonicity
نویسندگان
چکیده
منابع مشابه
On the Coleman indices of voting power
Coleman (1971) suggested two indices of voting power, power to prevent an action and power to initiate an action. This paper rigorously demonstrates relationship between the two indices and shows that they satisfy several attractive properties. It is also shown that an attainable upper bound of the power to prevent an action can as well be regarded as a suitable voting power index.
متن کاملSobol’ indices and Shapley value
Let f be a finite variance function of d independent input variables. Sobol’ indices are used to measure the importance of input variables and subsets of them. They are based on a variance decomposition. A similar problem arises in economics, when the value produced through the joint efforts of a team is to be attributed to individual members of that team. The Shapley value is widely used to so...
متن کاملShapley-Shubik and Banzhaf Indices Revisited
We provide a new axiomatization of the Shapley-Shubik and the Banzhaf power indices in the domain of simple superadditive games by means of transparent axioms. Only anonymity is shared with the former characterizations in the literature. The rest of the axioms are substituted by more transparent ones in terms of power in collective decisionmaking procedures. In particular, a clear restatement a...
متن کاملCoalition strategy-proofness and monotonicity in Shapley-Scarf housing markets
This paper studies (single-valued) solutions to housing markets (Shapley and Scarf, 1974) with strict preferences. I show that a solution is monotonic if and only if it is coalition strategy-proof. I point out that the strong core solution is the only solution which is monotonic, individually rational and an onto function. (As Roth and Postlewaite (1977) showed, the strong core solution is sing...
متن کاملGeneralized Invexity and Generalized Invariant Monotonicity
In this paper, several kinds of invariant monotone maps and generalized invariant monotone maps are introduced. Some examples are given which show that invariant monotonicity and generalized invariant monotonicity are proper generalizations of monotonicity and generalized monotonicity. Relationships between generalized invariant monotonicity and generalized invexity are established. Our results...
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: International Journal of Game Theory
سال: 2019
ISSN: 0020-7276,1432-1270
DOI: 10.1007/s00182-019-00692-2