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CopyrightⒸSatoshiTomita AllRightReserved.
HOW TO CREATE RESEARCH INVENTIONS BY THE COMBINATION OF MULTIPLE THEORIES AND CONCEPTS:
AN IMPLICATION FROM DEVELOPING A NEW MATHEMATICAL MODEL FOR CORPORATE ALLIANCES
The 2018 Kailua-Kona Global Conference on Business and Finance (GCBF2018)HI081817500 on January 3rd, 2018
Satoshi Tomita, Ph.D.Professor, Rikkyo University
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CopyrightⒸSatoshiTomita AllRightReserved.
Maintopicsandbackground• Thesedays,researchactivitiesincludingthemanagementstudiesarebecoming
progressivelymature,muchmoresegmented,andincreasinglyspecific.• So,it’smoredifficulttocreatenewresearchinventions byusingsingletheory,
concept,ormethodONLY.
• AmathematicalmodeltoexpressthemutualcomplementaryrelationshipbetweentwoinacorporatealliancewasdevelopedbySatoshiTomitaandYoshiyasu Takefuji in2015and2016
• Themodelcombinestheseveraltheoreticalframeworksof(1)ResourceBasedView(RBV)(2)Theconceptofflowinphysics(3)TheconceptofGiveandTakeinpsychologicalscience(4)Themethodologyofcyberinformatics
• Thedevelopmentofthemodelisagoodcasetounderstandthatthecombinationofmultipletheoriesandconceptshasproventobethekeyfactorforcreatingnewinventionsinmanagementstudies.
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CopyrightⒸSatoshiTomita AllRightReserved.
WhatisaCorporateAlliance?
• “Thestateinwhichtwoormorecompaniesareindependent,inordertodevelopnewbusinessorexpandexistingbusinessbytheexchangeofcomplementarymanagementresourcesprovidedtoeachcompanyregardlessofthepresenceorabsenceofabindingcontractorcapitalrelationship,withcontinuedcooperation,tosharetheoutcome.”- TomitaandTakefuji (2015,2016a,2016b,2016c,2016d)andTomita(2017)
• DefinedoriginallyfromYoshinoandRangan (1995)
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CopyrightⒸSatoshiTomita AllRightReserved.
WhatisANewMathematicalModelofMutuallyComplementaryforCorporateAlliances?
• Theconstructionofthemodelshowsthenew waytocreateresearchinventionsbythecombinationofmultipletheoriesandconcepts.
• Thisisagoodcasestudyforit!
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NewResearchInventions
CopyrightⒸSatoshiTomita AllRightReserved.
Exchangeofmanagementresources- strengthsandweaknesses
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• The strengths of company B will complement the weaknesses of company A, and vice versa.
• If the complements from one of the companies or both are large, the mutually complementary strength will also be large. è Flow intensity
• If both companies are committed to complementing the strengths and weaknesses of each other, they will more strongly complement mutually. è Flow balance
CompanyA CompanyB+
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CopyrightⒸSatoshiTomita AllRightReserved.
UtilizingaOne-DimensionalMatrixandBipolarVectortoExpresstheStrengthsandWeaknesses
betweenTwoCompanies
• Eachcompanyisscoredon8characteristicsona5gradescale
CompanyAa =(1,5,4,2,2,1,3,5)CompanyBb =(5,1,1,3,4,2,3,2)
• CompanyA– CompanyB
c=a-b=(-4,4,3,-1,-2,-1,0,3)
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CopyrightⒸSatoshiTomita AllRightReserved.
TheRelationshipStrengthExpressedastheDistancefromtheMaximumPoint
• Thestrengthsofthemutuallycomplimentaryaremathematicallyexpressedbymeasuringthedistance fromthelargestmutuallycomplimentarystrengthpoint=”TheMaximumPoint”.
• Thebipolarvectorofthelengthfrom0to4oftheeightcharacteristics,themaximummutuallycomplementaryvaluedeterminedfromtakingtwosetsofhalfthenumberofcharacteristicswithamaximumlengthof4foreach,whichisthelongestpossiblebipolarvectorbilaterally.
• (8characteristics/2)*Maximumlengthof4=(16,-16)
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CopyrightⒸSatoshiTomita AllRightReserved.
Mathematicalexpressionbythedistancefromthemaximumpoint
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MaximumPoint
CopyrightⒸSatoshiTomita AllRightReserved.
Formula:MutuallyComplementaryStrengthandtheRelatedCoefficientasaValue
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• Themutuallycomplementarystrengthderivedandexplainedabovecanbeexpressedbythefollowingformula:
len(c)isthenumberofcharacteristics,plus=Σ(positiveintegers),andminus=Σ(negativeintegers)
• ThemodeloftheformationwasimplementedbyPythonprogrammaticallyandcomputedasavalue.
CopyrightⒸSatoshiTomita AllRightReserved.
ExplanationbyFlowIntensityandFlowBalance
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CopyrightⒸSatoshiTomita AllRightReserved.
WhatisaKeyfortheinventionintheresearch?
• Nobodycancreateamathematicalmodeltoexpressthemutualcomplementaryrelationshipbetweentwocompaniesduringthematchingphaseinacorporatealliancebyusingtheories,methods,andconceptsonmanagementstudiesONLY.
• Thestudyisbasedon(1)ResourceBasedView(RBV),appliedbythemethodologyof(2)cyberinformaticsandalsoimported(3)theconceptofflowfromPhysics&(4)theconceptofflowbalancefrompsychology.
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CopyrightⒸSatoshiTomita AllRightReserved.
ConcludingComments• Thisinnovativeoutcomeinmanagementstudiescomesfrom
thecombinationofseveraltheoreticalconceptsandimportsmethodologiesfromothersciencefields
• ThemethodofthisresearchwasaccordedtothethinkingwayofSchumpeter (1912):newknowledgeiscreatedbynewcombinationsofalreadyexistingknowledge.
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NewCombinationsareimportanttocreateresearchinventionsinmanagementstudies