216,982 research outputs found
THE TALMUD RULE AND THE SECUREMENT OF AGENTS? AWARDS
This paper provides a new characterization of the Talmud rule by means of a new property, called securement. This property says that any agent holding a feasible claim will get at least one nht of her claim, where n is the number of agents involved. We show that securement together with a weak version of path independence and the standard properties of self-duality and consistency characterize the Talmud rule.bankruptcy problems, Talmud rule, characterization results
Weakest Collective Rationality and the Nash Bargaining Solution
We propose a new axiom, Weakest Collective Rationality (WCR) which is weaker than both Weak Pareto Optimality (WPO) in Nash (1950)’s original characterization and Strong Individual Rationality (SIR) in Roth (1977)’s characterization of the Nash bargaining solution. We then characterize the Nash solution by Symmetry (SYM), Scale Invariance (SI), Independence of Irrelevant Alternatives (IIA) and our Weakest Collective Rationality (WCR) axiom.Nash Bargaining Solution, Pareto Optimality, Strong Individual Rationality, Weak Pareto Optimality, Weakest Collective Rationality
On posets and independence spaces
AbstractBy constructing a correspondence relationship between independence spaces and posets, under isomorphism, this paper characterizes loopless independence spaces and applies this characterization to reformulate certain results on independence spaces in poset frameworks. These state that the idea provided in this paper is a new approach for the study of independence spaces. We outline our future work finally
Two-dimensional Kolmogorov-type Goodness-of-fit Tests Based on Characterizations and their Asymptotic Efficiencies
In this paper new two-dimensional goodness of fit tests are proposed. They
are of supremum-type and are based on different types of characterizations. For
the first time a characterization based on independence of two statistics is
used for goodness-of-fit testing. The asymptotics of the statistics is studied
and Bahadur efficiencies of the tests against some close alternatives are
calculated. In the process a theorem on large deviations of Kolmogorov-type
statistics has been extended to the multidimensional case
Kernel dimension reduction in regression
We present a new methodology for sufficient dimension reduction (SDR). Our
methodology derives directly from the formulation of SDR in terms of the
conditional independence of the covariate from the response , given the
projection of on the central subspace [cf. J. Amer. Statist. Assoc. 86
(1991) 316--342 and Regression Graphics (1998) Wiley]. We show that this
conditional independence assertion can be characterized in terms of conditional
covariance operators on reproducing kernel Hilbert spaces and we show how this
characterization leads to an -estimator for the central subspace. The
resulting estimator is shown to be consistent under weak conditions; in
particular, we do not have to impose linearity or ellipticity conditions of the
kinds that are generally invoked for SDR methods. We also present empirical
results showing that the new methodology is competitive in practice.Comment: Published in at http://dx.doi.org/10.1214/08-AOS637 the Annals of
Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical
Statistics (http://www.imstat.org
- …