Search results for " Shapley value"

showing 5 items of 5 documents

Risk assessment and profit sharing in business networks

2011

Abstract Nowadays network is the preferred governance form to conduct economic transactions. Network solution allows to reach flexibility maintaining cost and quality level. Since network concept refers to a great variety of organizational hybrids it is possible to choose the one that fits better market requirements. The new trends in inter-organization relationships push towards network solutions: companies are interested in relationships with partners and customers to overcome resource dependence, to enter too risky market or simply differentiate their business portfolio. The proposed research focuses on the network concept aiming at highlighting threats and opportunities to investigate t…

Economics and EconometricsResource dependence theoryActuarial scienceManagement Science and Operations ResearchSettore ING-IND/35 - Ingegneria Economico-GestionaleBusiness risksGeneral Business Management and AccountingNet present valueShapley valueIndustrial and Manufacturing EngineeringProfit (economics)Profit sharingNetwork organization forms Network risk Profit sharing Shapley value CAPMEconomicsCapital asset pricing modelPortfolioIndustrial organization
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THE SHAPLEY-SOLIDARITY VALUE FOR GAMES WITH A COALITION STRUCTURE

2013

A value for games with a coalition structure is introduced, where the rules guiding cooperation among the members of the same coalition are different from the interaction rules among coalitions. In particular, players inside a coalition exhibit a greater degree of solidarity than they are willing to use with players outside their coalition. The Shapley value is therefore used to compute the aggregate payoffs for the coalitions, and the solidarity value to obtain the payoffs for the players inside each coalition.

General Computer ScienceCoalitional value Shapley value Owen value Solidarity value C71ComputingMilieux_PERSONALCOMPUTINGMathematicsofComputing_GENERALStructure (category theory)TheoryofComputation_GENERALComputingMethodologies_ARTIFICIALINTELLIGENCEShapley valueSolidarityjel:M2MicroeconomicsCore (game theory)Value (economics)jel:C0Economicsjel:D5Statistics Probability and UncertaintyBusiness and International Managementjel:B4jel:C6jel:D7Mathematical economicsjel:C7International Game Theory Review
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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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A strategic approach for the discounted Shapley values

2014

The family of discounted Shapley values is analyzed for cooperative games in coalitional form. We consider the bargaining protocol of the alternating random proposer introduced in Hart and Mas-Colell (Econometrica 64:357–380, 1996). We demonstrate that the discounted Shapley values arise as the expected payoffs associated with the bargaining equilibria when a time discount factor is considered. In a second model, we replace the time cost with the probability that the game ends without agreements. This model also implements these values in transferable utility games, moreover, the model implements the \(\alpha \)-consistent values in the nontransferable utility setting.

jel:C71DiscountingDiscounted Shapley value; egalitarianism; cooperative TU-games JEL05 social sciencesGeneral Social SciencesGeneral Decision SciencesTheoryofComputation_GENERALTime costShapley valueEconomia Aspectes psicològicsComputer Science ApplicationsArts and Humanities (miscellaneous)Strategic approach0502 economics and businessDevelopmental and Educational PsychologyEconomics050206 economic theory050207 economicsTransferable utilityGeneral Economics Econometrics and FinanceMathematical economicsApplied Psychology
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Solidarity in games with a coalition structure

2010

Abstract A new axiomatic characterization of the two-step Shapley value Kamijo (2009) is presented based on a solidarity principle of the members of any union: when the game changes due to the addition or deletion of players outside the union, all members of the union will share the same gains/losses.

jel:C71Games with a coalition structure. Owen value. The two-step Shapley value. Solidarity.Sociology and Political ScienceStructure (category theory)General Social SciencesCharacterization (mathematics)Shapley valueSolidarityEconomia Aspectes psicològicsMicroeconomicsEconomicsStatistics Probability and UncertaintyJocs Teoria deMathematical economicsGeneral PsychologyAxiom
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