Search results for "Team theory"

showing 2 items of 2 documents

Team Theory and Person-by-Person Optimization with Binary Decisions

2012

In this paper, we extend the notion of person-by-person (pbp) optimization to binary decision spaces. The novelty of our approach is the adaptation to a dynamic team context of notions borrowed from the pseudo-boolean optimization field as completely local-global or unimodal functions and submodularity. We also generalize the concept of pbp optimization to the case where groups of $m$ decisions makers make joint decisions sequentially, which we refer to as $m$b$m$ optimization. The main contribution is a description of sufficient conditions, verifiable in polynomial time, under which a pbp or an $m$b$m$ optimization algorithm converges to the team-optimum. As a second contribution, we prese…

Mathematical optimizationControl and Optimizationcontrol optimizationBinary decision diagramApplied MathematicsTeam Theory; Person-by-Person Optimization; Pseudo-Boolean OptimizationApproximation algorithmState vectorTeam TheoryPerson-by-Person OptimizationSubmodular set functionVector optimizationPseudo-Boolean OptimizationComplete informationSettore MAT/09 - Ricerca OperativaGreedy algorithmTime complexityMathematicsSIAM Journal on Control and Optimization
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Generalized person-by-person optimization in team problems with binary decisions

2008

In this paper, we extend the notion of person by person optimization to binary decision spaces. The novelty of our approach is the adaptation to a dynamic team context of notions borrowed from the pseudo-boolean optimization field as completely local-global or unimodal functions and sub- modularity. We also generalize the concept of pbp optimization to the case where the decision makers (DMs) make decisions sequentially in groups of m, we call it mbm optimization. The main contribution are certain sufficient conditions, verifiable in polynomial time, under which a pbp or an mbm optimization algorithm leads to the team-optimum. We also show that there exists a subclass of sub-modular team pr…

OptimizationModularity (networks)Mathematical optimizationBoolean functions; OptimizationBinary decision diagramDecision theoryContext (language use)Boolean algebrasymbols.namesakeTeam theorysymbolsVerifiable secret sharingBoolean functionsBoolean functionTime complexityMathematics
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