On weighted Shapley values
نویسندگان
چکیده
منابع مشابه
Weighted Shapley levels values
This paper presents a collection of four different classes of weighted Shapley levels values. All classes contain generalisations of the weighted Shapley values to cooperative games with a level structure. The first class is an upgrade of the weighted Shapley levels value in Gómez-Rúa and Vidal-Puga (2011), who use the size of components as weights. The following classes contain payoff vectors ...
متن کاملShapley values in random weighted voting games
Shapley values, also known as Shapley–Shubik indices, measure the power that agents have in a weighted voting game. Suppose that agent weights are chosen randomly according to some distribution. We show that the expected Shapley values for the smallest and largest agent are independent of the quota for a large range of quotas, and converge exponentially fast to an explicit value depending only ...
متن کاملShapley Values in Weighted Voting Games with Random Weights
We investigate the distribution of the well-studied Shapley–Shubik values in weighted voting games where the agents are stochastically determined. The Shapley-Shubik value measures the voting power of an agent, in typical collective decision making systems. While easy to estimate empirically given the parameters of a weighted voting game, the Shapley values are notoriously hard to reason about ...
متن کاملWeighted Aumann-Shapley pricing
Cost allocation problems arise in many contexts in economics and management science. In a typical problem that we have in mind, a decision maker must decide how to allocate the joint cost of production among several commodities using prices. Furthermore, these prices must satisfy certain reasonable postulates among which is the requirement that total revenue associated with these prices must co...
متن کاملShapley Inconsistency Values
There are relatively few proposals for inconsistency measures for propositional belief bases. However inconsistency measures are potentially as important as information measures for artificial intelligence, and more generally for computer science. In particular, they can be useful to define various operators for belief revision, belief merging, and negotiation. The measures that have been propo...
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: 1987
ISSN: 0020-7276,1432-1270
DOI: 10.1007/bf01756292