关于大学生消费的演化博弈分析 An Evolutionary Game Analysis of College Students’ Consumption

doi:10.12677/AAM.2021.1011398

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AdvancesinAppliedMathematicsA^êÆ?Ð,2021,10(11),3758-3769

PublishedOnlineNovemb er2021inHans.http://www.hanspub.org/journal/aam

https://doi.org/10.12677/aam.2021.1011398

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AnEvolutionaryGameAnalysisof

CollegeStudents’Consumption

JiangnanWang,XiaolingQiu

Scho olofMathematicsandStatistics,GuizhouUniversity,GuiyangGuizhou

Received:Oct.9

,2021;accepted:Oct.30

,2021;published:Nov.11

,2021

©ÙÚ^:ôH,£ .'uŒÆ)ž¤üzÆ‰©Û[J].A^êÆ?Ð,2021,10(11):3758-3769.

DOI:10.12677/aam.2021.1011398

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Abstract

Since the21stcentury, people’sconsumptionlevelhas been obviously improved.How-

ever, as the most important part of social consumption, college students’ consumption

hasvariousconsumptionpatternsanddiversiﬁedconsumptionstructures,butunrea-

sonable consumptioncanbeseeneverywhere.Based on theknowledge of evolutionary

gametheory,thisarticleestablishesanevolutionarygamemodelofthelow-carbon

consumptionbehaviorofcollegestudentsontheguidanceofparents,students’self-

management,anduniversityintervention.Speciﬁcally,thearticleﬁrstintroducesthe

researchbackground,purposeandresearchsigniﬁcance.Second,theevolutionary

gamemodelisdescribed.Thirdly,itconstructsatripartiteevolutionarygamemodel

ofparents,colleges,andcollegestudents,exploresthemainbody’sstrategicchoices,

andusesMATLABtoconductnumericalsimulationexperimentsonthemodel,and

ﬁnally concludes.Researchhas shown thatthe equilibriumpoint (0,0,0),(0,0,1),(1,1,1)

istheevolutionarystablestrategyofthesystem,andundercertainconditions,stu-

dents’low-carbonconsumptionisaﬀectedbyfamilyandsociety.

Keywords

EvolutionaryGame,CollegeStudents,Low-CarbonConsumption,

EvolutionaryStabilityStrategy,NumericalSimulation

2021byauthor(s)andHansPublishersInc.

ThisworkislicensedundertheCreativeCommonsAttributionInternationalLicense(CCBY4.0).

http://creativecommons.org/licenses/by/4.0/

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[14].|^JacobiÝéþãl‡E›Äþï:-½5?1©Û§éF(x),F(y),F(z)¦ 

JacobiÝ[15]µÙ¥A=M

−M

−H

−F

,B=N

−C

,C=

−A

,D=N

−A

−C







∂F(x)

∂x

∂F(x)

∂y

∂F(x)

∂z

∂F(y)

∂x

∂F(y)

∂y

∂F(y)

∂z

∂F(z)

∂x

∂F(z)

∂y

∂F(z)

∂z













(1−2x)(yzA−C

)x(1−x)zAx(1−x)yA

y(1−y)z(Y

−Y

)(1−2y)[xz(Y

−Y

)−A

]y(1−y)x(Y

−Y

)

z(1−z)[B+y(A

−C

)]z(1−z)(C+xA

−xC

)(1−2z)[xB+yC+xy(A

−C

+D)]







DOI:10.12677/aam.2021.10113983764A^êÆ?Ð

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ŠâüzÆ‰nØƒ'•£:9oäÊìÅ1˜{•[16]§ò?Û˜‡þï:“

JacobiÝ¥§Xed Ý¤kAŠÑ´Kê§@o•ù‡þï:•ì?-½:§XÚ

•¬Åì?u-½G¶Xed Ý¥–k˜‡AŠ´§@où‡þï:Ò´Ø-½:§

TXÚ•¬?uØ-½G"ˆþï:-½5½dL2¤«[17]£5µ)ÒpÎÒ“LA

ŠKÒ§sL«™•¤"

Table2.Judgmentofthestabilityofeachequilibriumpoint

L2.ˆþï:-½5½

þï:AŠ9ÙÎÒG

(0,0,0)−C

(−),−A

(−),N

−A

−C

(s)^‡1

(0,0,1)−C

(−),−A

(−),−(N

−A

−C

)(s)^‡2

(0,1,0)−C

(−),A

(+),N

−A

(s)Ø-½

(0,1,1)M

−M

−H

−F

−C

(s),A

(+),−N

−N

(s)Ø-½

(1,0,0)C

(+),−A

(−),N

−C

(s)Ø-½

(1,0,1)C

(+),Y

−Y

−A

(−),C

−N

(s)Ø-½

(1,1,0)C

(+),A

(+),N

−C

(s)Ø-½

(1,1,1)

−M

−H

−F

(s),Y

−Y

(s),

−N

−A

(s)

^‡3

4.üz(J©Û

Table3.Stabilityconditionsofequilibriumpoint

L3.þï:-½5^‡

þï:-½5^‡?Ò

(0,0,0)N

^‡1

(0,0,1)A

^‡2

(1,1,1)

(s)

^‡3

p![ÌÚÆ)üÑ•ª´/ØÈ4Zý0!/ØÚ0Ú/š$%ž¤0üÑ§•Ò´

`þï:(0,0,0)´TXÚüz-½üÑ§´I‡÷v˜½^‡µN

ž§p•

ªªuØÈ4Zý§[ÌªuØÚ§Æ)ª•uš$%ž¤üÑ"

p![ÌÚÆ)üÑ•ª´/ØÈ4Zý0!/ØÚ0Ú/$%ž¤0üÑ§•Ò´`§

þï:(0,0,1)´TXÚüz-½üÑ§´ÓI‡÷v˜½^‡µA

ž§p

ªuØÈ4Zý![ÌªuØÚÚÆ)ž¤+Nªu$%ž¤üÑ"

p![ÌÚÆ)üÑ•ª´/È4Zý0!/Ú0Ú/$%ž¤0üÑ§•Ò´`§þ

ï:(1,1,1)´TXÚüz-½üÑ§´ÓI‡÷v˜½^‡µM

DOI:10.12677/aam.2021.10113983765A^êÆ?Ð

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ž¶p•ªÀJÈ4Zý![

ÌÀJÚ!Æ)ÀJ$%ž¤üÑ"

5.•ý©Û

Œu"§H

…¤këêþŒu"§H

=30,H

40,F

=20,M

=20,H

=30,F

=15,C

=30,Y

=20,Y

=15,A

=20,N

=10,C

10,A

=15,C

=10,N

=10,A

=10,N

=8,•ý(JXã1(a)¤«[17]"b

pæ/È4Zý0VÇ´x=0.2,[ÌÀJ/Ú0VÇ•y=0.4,Æ)ÀJ$%ž¤

VÇ•z=0.8KTXÚüz-½üÑ•ýXã1(b)¤«[18]µ

Figure1.(a)Evolutionto[0,0,0];(b)Simulationdiagramofevolutionarystabilitystrategyofuniversities,

families,andstudents

ã1.(a)üz[0,0,0];(b)p,[Ì,Æ)üz-½5üÑ•ýã

dã1•§N

…¤këêþŒu"§H

.^‡ ž§p![Ì!Æ)üÑ•þï:?1üz§•?u-½G"ù‡n

Ø©Û(J´Ün"

…¤këêþŒu"§H

=50,H

40,F

=30,M

=40,H

=30,F

=25,C

=30,Y

=45,Y

=30,A

=35,N

=10,C

10,A

=15,C

=15,N

=10,N

=10,A

=8,N

=10,N

=35,•ý(JXã2(a)¤«"b

pæ/È4Zý0VÇ´x=0.2,[ÌÀJ/Ú0VÇ•y=0.4,Æ)ÀJ$%ž¤

VÇ•z=0.8KTXÚüz-½üÑ•ýXã2(b)¤«

DOI:10.12677/aam.2021.10113983766A^êÆ?Ð

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Figure2.(a)Evolutionto[0,0,1];(b)Simulationdiagramofevolutionarystabilitystrategyofuniversities,

families,andstudents

ã2.(a)üz[0,0,1];(b)p,[Ì,Æ)üz-½5üÑ•ýã

dã2•§N

…¤këêþŒu"§H

^‡ž§

´Ün"

(s),…¤kë

êþŒu "§H

.•ý(JXeã3(a)¤«"bpÀJ/È4Zý0

VÇ•x=0.2,[ÌÀJ/Ú0VÇ•y=0.4,Æ)ÀJ$%ž¤VÇ•z=0.8,KTX

Úüz-½üÑ•ýXã3(b)¤«

Figure3.(a)Evolutionto[1,1,1];(b)Simulationdiagramofevolutionarystabilitystrategyofuniversities,

families,andstudents

ã3.(a)üz[1,1,1];(b)p,[Ì,Æ)üz-½5üÑ•ýã

DOI:10.12677/aam.2021.10113983767A^êÆ?Ð

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dã3•§M

(s)…¤këêþŒu"§H

.^‡ž§p![Ì!Æ)ü

6.(Ø

Æ)+N?1n•üzÆ‰žkµ

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¤†pØÈ4Zýœ¹e,Æ)?1$%ž¤žI‡GÑ¤ƒÚž§p•ªªuØÈ

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(2)[•3ØÚœ¹e§Æ)?1$%ž¤I‡GÑ¤†pØÈ4Zýœ¹e,Æ)?

1$%ž¤žI‡GÑ¤ƒÚuJ,gƒŸ±9ºÂÃž§pªuØÈ4Z

ý![ÌªuØÚÚÆ)ž¤+Nªu$%ž¤üÑ"

(3)p†[ÌÙ¥˜••™ë†Zý½öü•þØë†Æ)ž¤œ¹ž§JØ²w§Œ

Æ)æ$%ž¤§J,ŒÆ)oNƒŸ§p3•ÆŸþþÂÃ,ŒÆ)$%ž¤ò¬

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ÀJÚ!Æ)ÀJ$%ž¤üÑ"

Ä7‘8

B²ŒÆSRT‘8]7]ÏBŒSRTi(2019)371Ò¶I[g,‰ÆÄ7‘8(12061020)¶B²

Ž˜e‰ÆÄ7(`‰ÜKYi[2021]088Ò)¶B²Ž‰Ee‰ÆÄ7(`‰ ÜÄ:[2019]1123Ò)¶

B²ŒÆÚ?<âÄ7(No.201811)]Ï‘8"

ë•©z

[1]$™.&Û“ŒÆ)ž¤(†ž¤1•[J].y“E•(&E‡),2020(2):225-225.

àHŒÆ,2016.

[4]öu,@(C,ù.ÄuELES.é·IŒÆ)ž¤(¢yïÄ[J].•SnóŒÆÆ

(¬‰Æ‡),2019,32(3):134-139.

[5]Ü•.Ú“ŒÆ)$%ž¤1•eZÞ„[J].{›†¬,2019(35):140-141.

[6]‰l,Šå.ŒÆ)$%¿£Ú$%ž¤˜N†ïÆ[C]//¥Iû¬Æ¬.¥Iû¬Æ

DOI:10.12677/aam.2021.10113983768A^êÆ?Ð

ôH§£

[8]ÜL1,ÂDr.pÆ)$%ž¤üÑïÄ[J].¥I¤<˜,2013(13):60-62.

[10]šUu.ŒÆ)$%ž¤1•ïÄ—±H®½ôw«pÆ)•~[J].dŠó§,2018,37(8):

108-111.

[14]Ritzberger,K.andWeibull,J.W.(1995)EvolutionarySelectioninNormal-FormGames.E-

conometrica,63,1371-1399.https://doi.org/10.2307/2171774

[15]Friedman,D.(1991)ASimpleTestableModelofDoubleAuctionMarkets.JournalofEconomic

BehaviorOrganization,15,47-70.https://doi.org/10.1016/0167-2681(91)90004-H

35(5):68-72.

88-95.

2020.

DOI:10.12677/aam.2021.10113983769A^êÆ?Ð