Search results for "value"

showing 10 items of 5321 documents

A Neo2 bayesian foundation of the maxmin value for two-person zero-sum games

1994

A joint derivation of utility and value for two-person zero-sum games is obtained using a decision theoretic approach. Acts map states to consequences. The latter are lotteries over prizes, and the set of states is a product of two finite sets (m rows andn columns). Preferences over acts are complete, transitive, continuous, monotonie and certainty-independent (Gilboa and Schmeidler (1989)), and satisfy a new axiom which we introduce. These axioms are shown to characterize preferences such that (i) the induced preferences on consequences are represented by a von Neumann-Morgenstern utility function, and (ii) each act is ranked according to the maxmin value of the correspondingm × n utility …

Statistics and ProbabilityComputer Science::Computer Science and Game TheoryEconomics and EconometricsTransitive relationVon Neumann–Morgenstern utility theoremMathematics (miscellaneous)Zero-sum gameExample of a game without a valueCardinal utilityStatistics Probability and UncertaintyTransferable utilityMathematical economicsFinite setSocial Sciences (miscellaneous)AxiomMathematicsInternational Journal of Game Theory
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Vector coherent states and intertwining operators

2009

In this paper we discuss a general strategy to construct vector coherent states of the Gazeau-Klauder type and we use them to built up examples of isospectral hamiltonians. For that we use a general strategy recently proposed by the author and which extends well known facts on intertwining operators. We also discuss the possibility of constructing non-isospectral hamiltonians with related eigenstates.

Statistics and ProbabilityComputer scienceFOS: Physical sciencesGeneral Physics and AstronomyStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Construct (python library)Intertwining operatorcoherent statesType (model theory)AlgebraIsospectralOperator (computer programming)Modeling and SimulationCoherent statesMathematics::Mathematical PhysicsSettore MAT/07 - Fisica MatematicaEigenvalues and eigenvectorsMathematical Physics
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Liquidity-adjusted value-at-risk optimization of a multi-asset portfolio using a vine copula approach

2019

Abstract This paper develops a novel approach to assess liquidity-adjusted Value-at-Risk (LVaR) optimization of multi-asset portfolios based on vine copulas and LVaR models. This framework is applied to stock markets of the G-7 countries, gold, commodities and Bitcoin. The results show that our approach is superior to the classical mean–variance Markowitz portfolio technique in terms of the optimal portfolio selection under a number of realistic operational and budget constraints. We find that both Bitcoin and gold improves the risk-return performance of the G-7 stock portfolio. However, Bitcoin (gold) performs better under a scenario of only long-positions (when short-selling is allowed).

Statistics and ProbabilityCondensed Matter Physics01 natural sciences010305 fluids & plasmasMarket liquidityVine copulaStock portfolio0103 physical sciencesEconometricsEconomicsPortfolioPortfolio optimization010306 general physicsBudget constraintValue at riskStock (geology)Physica A: Statistical Mechanics and its Applications
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The rank of random regular digraphs of constant degree

2018

Abstract Let d be a (large) integer. Given n ≥ 2 d , let A n be the adjacency matrix of a random directed d -regular graph on n vertices, with the uniform distribution. We show that the rank of A n is at least n − 1 with probability going to one as n grows to infinity. The proof combines the well known method of simple switchings and a recent result of the authors on delocalization of eigenvectors of A n .

Statistics and ProbabilityControl and OptimizationUniform distribution (continuous)General Mathematics0102 computer and information sciencesrandom matrices01 natural sciencesCombinatoricsIntegerFOS: Mathematics60B20 15B52 46B06 05C80Rank (graph theory)Adjacency matrix0101 mathematicsEigenvalues and eigenvectorsMathematicsNumerical AnalysisAlgebra and Number TheoryDegree (graph theory)Applied MathematicsProbability (math.PR)010102 general mathematicsrandom regular graphssingularity probabilityrank010201 computation theory & mathematicsRegular graphRandom matrixMathematics - ProbabilityJournal of Complexity
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The Serial Property and Restricted Balanced Contributions in discrete cost sharing problems

2006

We show that the Serial Poperty and Restricted Balanced Contributions characterize the subsidy-free serial cost sharing method (Moulin (1995)) in discrete cost allocation problems.

Statistics and ProbabilityCost allocationMathematical optimizationInformation Systems and ManagementProperty (philosophy)Computer scienceModeling and SimulationMoulinDiscrete Mathematics and CombinatoricsCost sharingManagement Science and Operations ResearchShapley valueTOP
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The affine equivariant sign covariance matrix: asymptotic behavior and efficiencies

2003

We consider the affine equivariant sign covariance matrix (SCM) introduced by Visuri et al. (J. Statist. Plann. Inference 91 (2000) 557). The population SCM is shown to be proportional to the inverse of the regular covariance matrix. The eigenvectors and standardized eigenvalues of the covariance, matrix can thus be derived from the SCM. We also construct an estimate of the covariance and correlation matrix based on the SCM. The influence functions and limiting distributions of the SCM and its eigenvectors and eigenvalues are found. Limiting efficiencies are given in multivariate normal and t-distribution cases. The estimates are highly efficient in the multivariate normal case and perform …

Statistics and ProbabilityCovariance functionaffine equivarianceinfluence functionMultivariate normal distributionrobustnessComputer Science::Human-Computer InteractionEfficiencyestimatorsEstimation of covariance matricesScatter matrixStatisticsAffine equivarianceApplied mathematicsCMA-ESMultivariate signCovariance and correlation matricesRobustnessmultivariate medianMathematicsprincipal componentsInfluence functionNumerical AnalysisMultivariate medianCovariance matrixcovariance and correlation matricesdiscriminant-analysisCovarianceComputer Science::Otherdispersion matricesefficiencyLaw of total covariancemultivariate locationtestsStatistics Probability and Uncertaintyeigenvectors and eigenvaluesEigenvectors and eigenvaluesmultivariate signJournal of Multivariate Analysis
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Attractors for non-autonomous retarded lattice dynamical systems

2015

AbstractIn this paperwe study a non-autonomous lattice dynamical system with delay. Under rather general growth and dissipative conditions on the nonlinear term,we define a non-autonomous dynamical system and prove the existence of a pullback attractor for such system as well. Both multivalued and single-valued cases are considered.

Statistics and ProbabilityDifferential equations with delayDynamical systems theoryNon-autonomous systemslattice dynamical systemsPullback attractorHamiltonian systemLinear dynamical systemProjected dynamical systemAttractorQA1-939pullback attractorMathematicsNumerical AnalysisApplied MathematicsMathematical analysisdifferential equations with delaynon-autonomous systemsClassical mechanicsLattice dynamical systemsPullback attractorset-valued dynamical systemsSet-valued dynamical systemsLimit setRandom dynamical systemMathematicsAnalysis
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Weighted weak semivalues

2000

We introduce two new value solutions: weak semivalues and weighted weak semivalues. They are subfamilies of probabilistic values, and they appear by adding the axioms of balanced contributions and weighted balanced contributions respectively. We show that the effect of the introduction of these axioms is the appearance of consistency in the beliefs of players about the game.

Statistics and ProbabilityEconomics and EconometricsMathematics (miscellaneous)Consistency (statistics)Probabilistic logicStatistics Probability and UncertaintyMathematical economicsValue (mathematics)Social Sciences (miscellaneous)AxiomProbabilistic values semivalues weighted Shapley valuesMathematicsInternational Journal of Game Theory
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The multichoice consistent value

2000

We consider multichoice NTU games, i.e., cooperative NTU games in which players can participate in the game with several levels of activity. For these games, we define and characterize axiomatically the multichoice consistent value, which is a generalization of the consistent NTU value for NTU games and of the multichoice value for multichoice TU games. Moreover, we show that this value coincides with the consistent NTU value of a replicated NTU game and we provide a probabilistic interpretation.

Statistics and ProbabilityEconomics and EconometricsMathematics (miscellaneous)GeneralizationProbabilistic logicNTU games · consistent NTU value · multichoice valueStatistics Probability and UncertaintyValue (mathematics)Mathematical economicsSocial Sciences (miscellaneous)MathematicsInterpretation (model theory)
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Converting retirement benefit into a life care annuity with graded benefits

2016

AbstractThis paper deals with life care annuities, i.e. bundled products comprising a life annuity and long-term care insurance. It aims to assess the cost of converting retirement benefit into a life care annuity with graded benefits using a pre-existing public pay-as-you-go pension scheme. With this objective in mind, we present an actuarial method based on array calculus for valuing this type of life care annuity. The health dynamics of the annuitant rely on a reversible illness-death multistate framework. The paper contains a numerical example in which mortality and disability assumptions are based on data from the USA and Australia, although this should be viewed simply as an illustrat…

Statistics and ProbabilityEconomics and EconometricsPension050208 financeActuarial science05 social sciencesLife annuityAnnuity function01 natural sciencesRetirement Benefit010104 statistics & probabilityActuarial present valueLife care0502 economics and businessLife expectancyEconomics0101 mathematicsStatistics Probability and UncertaintyLong-term care insuranceScandinavian Actuarial Journal
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