Bank Cash Inflow from Lending GDollar/y |
BCIL |
CFWB CFGB |
|
BCISNI |
|
\(\mathtt{BCIL}\left(t\right)=\mathtt{CFGB}\left(t\right)+\mathtt{CFWB}\left(t\right)\) |
Bank Cash Inflow as Share of NI (1) |
BCISNI |
NI BCIL |
|
|
|
\(\mathtt{BCISNI}\left(t\right)=\frac{\mathtt{BCIL}\left(t\right)}{\mathtt{NI}\left(t\right)}\) |
Basic Income Tax Rate Owners (1) |
BITRO |
|
ITRO1980 GITRO ITRO2022 |
ITO |
|
\(\mathtt{BITRO}\left(t\right)=\mathtt{min}\left(1,\mathtt{ITRO1980}\right)+\mathtt{ramp}\left(t,\frac{1}{78}\cdot\left(\mathtt{GITRO}-\mathtt{ITRO2022}\right),2000,2100\right)+\mathtt{ramp}\left(t,\frac{1}{42}\cdot\left(\mathtt{ITRO2022}-\mathtt{ITRO1980}\right),2000,2000\right)\) |
CANCellation of Debt GDollar/y |
CANCD |
GD |
FGDC2022 |
GD |
|
\(\mathtt{CANCD}\left(t\right)=\mathtt{FGDC2022}\cdot\mathtt{pulse}\left(t,2000,1\right)\cdot\mathtt{GD}\left(t\right)\) |
Consumption Demand GDollar/y |
CD |
STO STW OC WCD |
|
CPP CSGDP |
|
\(\mathtt{CD}\left(t\right)=-\mathtt{STO}\left(t\right)-\mathtt{STW}\left(t\right)+\mathtt{OC}\left(t\right)+\mathtt{WCD}\left(t\right)\) |
Cash Flow from Govmnt to Banks GDollar/y |
CFGB |
GND GIC GP |
|
BCIL GCIN |
|
\(\mathtt{CFGB}\left(t\right)=-\mathtt{GND}\left(t\right)+\mathtt{GIC}\left(t\right)+\mathtt{GP}\left(t\right)\) |
Cash Flow from Workers to Banks GDollar/y |
CFWB |
WIC WND WP |
|
BCIL WCIN WFCSI |
|
\(\mathtt{CFWB}\left(t\right)=-\mathtt{WND}\left(t\right)+\mathtt{WIC}\left(t\right)+\mathtt{WP}\left(t\right)\) |
CONTRol: (C+G+S)/NI = 1 |
CONTR |
CSGDP GSGDP SSGDP |
|
|
|
\(\mathtt{CONTR}\left(t\right)=\mathtt{CSGDP}\left(t\right)+\mathtt{GSGDP}\left(t\right)+\mathtt{SSGDP}\left(t\right)\) |
Consumption Per Person GDollar/y |
CPP |
POP CD |
|
|
|
\(\mathtt{CPP}\left(t\right)=\frac{\mathtt{CD}\left(t\right)}{\mathtt{POP}\left(t\right)}\) |
Consumption Share of GDP (1) |
CSGDP |
CD NI |
|
CONTR |
|
\(\mathtt{CSGDP}\left(t\right)=\frac{\mathtt{CD}\left(t\right)}{\mathtt{NI}\left(t\right)}\) |
Extra General Tax From 2022 Gdollar/y |
EGTF2022 |
NI |
EETF2022 EGTRF2022 EPTF2022 |
GETF2022 |
|
\(\mathtt{EGTF2022}\left(t\right)=\mathtt{ifelse}\left(\left(t>2000\right),\mathtt{EETF2022}+\mathtt{EGTRF2022}+\mathtt{EPTF2022},0\right)\cdot\mathtt{NI}\left(t\right)\) |
Extra Taxes From 2022 GDollar/y |
ETF2022 |
ETF2022 GETF2022 |
TINT |
ETF2022 OT WT |
0.0 |
\(\frac{\mathrm{d}\mathtt{ETF2022}\left(t\right)}{\mathrm{d}t}=\frac{-\mathtt{ETF2022}\left(t\right)+\mathtt{GETF2022}\left(t\right)}{\mathtt{TINT}}\) |
Extra Taxes for TAs From 2022 GDollar/y |
ETTAF2022 |
ECTAF2022 |
FETACPET |
GETF2022 |
|
\(\mathtt{ETTAF2022}\left(t\right)=\mathtt{ifelse}\left(\left(t>2000\right),\mathtt{FETACPET}\cdot\mathtt{ECTAF2022}\left(t\right),0\right)\) |
Fraction of Govmnt Budget to Workers (1) |
FGBW |
FGBW GFGBW |
TINT |
FGBW TP |
0.3 |
\(\frac{\mathrm{d}\mathtt{FGBW}\left(t\right)}{\mathrm{d}t}=\frac{-\mathtt{FGBW}\left(t\right)+\mathtt{GFGBW}\left(t\right)}{\mathtt{TINT}}\) |
Govmnt Cash INflow GDollar/y |
GCIN |
CFGB GNI |
|
PGCIN TPP |
|
\(\mathtt{GCIN}\left(t\right)=-\mathtt{CFGB}\left(t\right)+\mathtt{GNI}\left(t\right)\) |
Govmnt Debt Gdollar |
GD |
GND CANCD GP |
|
CANCD GDB GIC GND GP |
17975.68 |
\(\frac{\mathrm{d}\mathtt{GD}\left(t\right)}{\mathrm{d}t}=-\mathtt{CANCD}\left(t\right)-\mathtt{GP}\left(t\right)+\mathtt{GND}\left(t\right)\) |
Govmnt Debt Burden y |
GDB |
GD NI |
|
|
|
\(\mathtt{GDB}\left(t\right)=\frac{\mathtt{GD}\left(t\right)}{\mathtt{NI}\left(t\right)}\) |
Goal for Extra Taxes From 2022 GDollar/y |
GETF2022 |
ETTAF2022 EGTF2022 |
|
ETF2022 |
|
\(\mathtt{GETF2022}\left(t\right)=\mathtt{EGTF2022}\left(t\right)+\mathtt{ETTAF2022}\left(t\right)\) |
Goal for Fraction of Govmnt Budget to Workers (1) |
GFGBW |
|
ETGBW FT1980 |
FGBW |
|
\(\mathtt{GFGBW}\left(t\right)=\mathtt{FT1980}+\mathtt{ifelse}\left(\left(t>2000\right),\mathtt{ETGBW},0\right)\) |
Govmnt Finance as Share of NI (1) |
GFSNI |
GIC GP NI |
|
|
|
\(\mathtt{GFSNI}\left(t\right)=\frac{\mathtt{GIC}\left(t\right)+\mathtt{GP}\left(t\right)}{\mathtt{NI}\left(t\right)}\) |
Govmnt Gross Income GDollar/y |
GGI |
OT IC2022 STO STW WT |
|
GGIS |
|
\(\mathtt{GGI}\left(t\right)=\mathtt{IC2022}\left(t\right)+\mathtt{OT}\left(t\right)+\mathtt{STO}\left(t\right)+\mathtt{STW}\left(t\right)+\mathtt{WT}\left(t\right)\) |
Govmnt Gross Income (as Share of NI) |
GGIS |
GGI NI |
|
|
|
\(\mathtt{GGIS}\left(t\right)=\frac{\mathtt{GGI}\left(t\right)}{\mathtt{NI}\left(t\right)}\) |
Govmnt Interest Cost GDollar/y |
GIC |
GD GBC |
|
CFGB GFSNI |
|
\(\mathtt{GIC}\left(t\right)=\mathtt{GBC}\left(t\right)\cdot\mathtt{GD}\left(t\right)\) |
Govmnt Investment in Public Capacity GDollar/y |
GIPC |
PGCIN GPU |
|
GS CIPUS ISGDP |
|
\(\mathtt{GIPC}\left(t\right)=-\mathtt{GPU}\left(t\right)+\mathtt{PGCIN}\left(t\right)\) |
Govmnt New Debt GDollar/y |
GND |
NI GD MGD |
GDDP GSF2022 |
GD CFGB |
|
\(\mathtt{GND}\left(t\right)=\mathtt{ifelse}\left(\left(t\geq2000\right),\mathtt{GSF2022},0\right)\cdot\mathtt{NI}\left(t\right)+\mathtt{max}\left(0,\frac{-\mathtt{GD}\left(t\right)+\mathtt{MGD}\left(t\right)}{\mathtt{GDDP}}\right)\) |
Govmnt Net Income GDollar/y |
GNI |
TP OT IC2022 ST STO STW WT |
|
GCIN GNISNI |
6531.07 |
\(\mathtt{GNI}\left(t\right)=-\mathtt{TP}\left(t\right)+\mathtt{IC2022}\left(t\right)+\mathtt{OT}\left(t\right)+\mathtt{ST}\left(t\right)+\mathtt{STO}\left(t\right)+\mathtt{STW}\left(t\right)+\mathtt{WT}\left(t\right)\) |
Govmnt Net Income as Share of NI (1) |
GNISNI |
NI GNI |
|
|
|
\(\mathtt{GNISNI}\left(t\right)=\frac{\mathtt{GNI}\left(t\right)}{\mathtt{NI}\left(t\right)}\) |
Govmnt Payback GDollar/y |
GP |
GD |
GPP |
GD CFGB GFSNI |
|
\(\mathtt{GP}\left(t\right)=\frac{\mathtt{GD}\left(t\right)}{\mathtt{GPP}}\) |
Govmnt PUrchases GDollar/y |
GPU |
PGCIN |
GCF |
GIPC GS IPR VPSS |
|
\(\mathtt{GPU}\left(t\right)=\mathtt{GCF}\cdot\mathtt{PGCIN}\left(t\right)\) |
Govmnt Spending GDollar/y |
GS |
GIPC GPU |
|
GSGDP GSSGDP PSP |
|
\(\mathtt{GS}\left(t\right)=\mathtt{GIPC}\left(t\right)+\mathtt{GPU}\left(t\right)\) |
Govmnt Share of GDP (1) |
GSGDP |
NI GS |
|
CONTR |
|
\(\mathtt{GSGDP}\left(t\right)=\frac{\mathtt{GS}\left(t\right)}{\mathtt{NI}\left(t\right)}\) |
Income from Commons from 2022 GDollar/y |
IC2022 |
IPP NI |
GEIC |
GGI GNI TP |
|
\(\mathtt{IC2022}\left(t\right)=\mathtt{ifelse}\left(\left(t>2000\right),\mathtt{ramp}\left(t,\frac{\mathtt{GEIC}}{\mathtt{IPP}\left(t\right)},2000,2000+\mathtt{IPP}\left(t\right)\right),0\right)\cdot\mathtt{NI}\left(t\right)\) |
INEQuality (1) |
INEQ |
OOIAT WIAT |
|
INEQI IEL AWBIN IEST |
|
\(\mathtt{INEQ}\left(t\right)=\frac{\mathtt{OOIAT}\left(t\right)}{\mathtt{WIAT}\left(t\right)}\) |
INEQuality Index (1980=1) |
INEQI |
INEQ |
INEQ1980 |
RROTAI |
|
\(\mathtt{INEQI}\left(t\right)=\frac{\mathtt{INEQ}\left(t\right)}{\mathtt{INEQ1980}}\) |
Income Tax Owners (1) |
ITO |
BITRO NI WSO |
|
OT |
|
\(\mathtt{ITO}\left(t\right)=\left(1-\mathtt{WSO}\left(t\right)\right)\cdot\mathtt{BITRO}\left(t\right)\cdot\mathtt{NI}\left(t\right)\) |
Income Tax Workers (1) |
ITW |
NI WSO |
BITRW |
WT |
|
\(\mathtt{ITW}\left(t\right)=\mathtt{BITRW}\cdot\mathtt{NI}\left(t\right)\cdot\mathtt{WSO}\left(t\right)\) |
Max Govmnt Debt GDollar |
MGD |
NI |
MGDB |
GND |
|
\(\mathtt{MGD}\left(t\right)=\mathtt{MGDB}\cdot\mathtt{NI}\left(t\right)\) |
Max Workers Debt GDollar |
MWD |
WI |
MWDB |
WND |
|
\(\mathtt{MWD}\left(t\right)=\mathtt{MWDB}\cdot\mathtt{WI}\left(t\right)\) |
Owner Consumption GDollar/y |
OC |
POCI OCF |
|
CD OS STO |
|
\(\mathtt{OC}\left(t\right)=\mathtt{OCF}\left(t\right)\cdot\mathtt{POCI}\left(t\right)\) |
Owner Consumptin Fraction (1) |
OCF |
OSF |
|
OC |
|
\(\mathtt{OCF}\left(t\right)=1-\mathtt{OSF}\left(t\right)\) |
Owner Cash INflow GDollar/y |
OCIN |
OOIAT |
|
POCI TPP |
|
\(\mathtt{OCIN}\left(t\right)=\mathtt{OOIAT}\left(t\right)\) |
Owner Income GDollar/y |
OI |
NI WSO |
|
OOIAT OTR |
|
\(\mathtt{OI}\left(t\right)=\left(1-\mathtt{WSO}\left(t\right)\right)\cdot\mathtt{NI}\left(t\right)\) |
Owner Operating Income After Tax GDollar/y |
OOIAT |
OT OI |
|
INEQ OCIN |
|
\(\mathtt{OOIAT}\left(t\right)=-\mathtt{OT}\left(t\right)+\mathtt{OI}\left(t\right)\) |
Owner Savings GDollar/y |
OS |
POCI OC |
|
TS |
|
\(\mathtt{OS}\left(t\right)=-\mathtt{OC}\left(t\right)+\mathtt{POCI}\left(t\right)\) |
Owner Savings Fraction (1) |
OSF |
EGDPP |
OSF1980 GDPOSR GDPP1980 |
OCF |
|
\(\mathtt{OSF}\left(t\right)=\mathtt{OSF1980}\cdot\left(1+\mathtt{GDPOSR}\cdot\left(-1+\frac{\mathtt{EGDPP}\left(t\right)}{\mathtt{GDPP1980}}\right)\right)\) |
Owner Taxes GDollar/y |
OT |
ITO ETF2022 |
FETPO |
GGI GNI OOIAT OTR TP |
|
\(\mathtt{OT}\left(t\right)=\mathtt{FETPO}\cdot\mathtt{ETF2022}\left(t\right)+\mathtt{ITO}\left(t\right)\) |
Owner Tax Rate (1) |
OTR |
OT OI |
|
|
|
\(\mathtt{OTR}\left(t\right)=\frac{\mathtt{OT}\left(t\right)}{\mathtt{OI}\left(t\right)}\) |
Permanent Govmnt Cash INflow GDollar/y |
PGCIN |
GCIN PGCIN |
TAB |
PGCIN GIPC GPU |
5400.0 |
\(\frac{\mathrm{d}\mathtt{PGCIN}\left(t\right)}{\mathrm{d}t}=\frac{-\mathtt{PGCIN}\left(t\right)+\mathtt{GCIN}\left(t\right)}{\mathtt{TAB}}\) |
Permanent Owner Cash Inflow GDollar/y |
POCI |
POCI OCIN |
TAOC |
POCI OC OS |
7081.0 |
\(\frac{\mathrm{d}\mathtt{POCI}\left(t\right)}{\mathrm{d}t}=\frac{-\mathtt{POCI}\left(t\right)+\mathtt{OCIN}\left(t\right)}{\mathtt{TAOC}}\) |
Permanent Worker Cash INflow GDollar/y |
PWCIN |
PWCIN WCIN |
TAWC |
PWCIN WCD WDI WS |
13000.0 |
\(\frac{\mathrm{d}\mathtt{PWCIN}\left(t\right)}{\mathrm{d}t}=\frac{-\mathtt{PWCIN}\left(t\right)+\mathtt{WCIN}\left(t\right)}{\mathtt{TAWC}}\) |
Savings Share of GDP (1) |
SSGDP |
TS NI |
|
CONTR |
|
\(\mathtt{SSGDP}\left(t\right)=\frac{\mathtt{TS}\left(t\right)}{\mathtt{NI}\left(t\right)}\) |
Sales Tax GDollar/y |
ST |
STO STW |
|
GNI TPP |
|
\(\mathtt{ST}\left(t\right)=\mathtt{STO}\left(t\right)+\mathtt{STW}\left(t\right)\) |
Sales Tax Owners GDollar/y |
STO |
OC |
STR |
CD GGI GNI ST TP |
|
\(\mathtt{STO}\left(t\right)=\mathtt{STR}\cdot\mathtt{OC}\left(t\right)\) |
Sales Tax Workers GDollar/y |
STW |
WCD |
STR |
CD GGI GNI ST TP |
|
\(\mathtt{STW}\left(t\right)=\mathtt{STR}\cdot\mathtt{WCD}\left(t\right)\) |
Transfer Payments GDollar/y |
TP |
OT FGBW IC2022 STO STW WT |
|
GNI WIAT |
|
\(\mathtt{TP}\left(t\right)=\left(\mathtt{IC2022}\left(t\right)+\mathtt{OT}\left(t\right)+\mathtt{STO}\left(t\right)+\mathtt{STW}\left(t\right)+\mathtt{WT}\left(t\right)\right)\cdot\mathtt{FGBW}\left(t\right)\) |
Total Purchasing Power GDollar/y |
TPP |
GCIN ST OCIN WCIN |
|
EPP EDE |
|
\(\mathtt{TPP}\left(t\right)=-\mathtt{ST}\left(t\right)+\mathtt{GCIN}\left(t\right)+\mathtt{OCIN}\left(t\right)+\mathtt{WCIN}\left(t\right)\) |
Total Savings GDollar/y |
TS |
OS WS |
|
SSGDP AVCA |
|
\(\mathtt{TS}\left(t\right)=\mathtt{OS}\left(t\right)+\mathtt{WS}\left(t\right)\) |
Worker consumption demand GDollar/y |
WCD |
PWCIN |
WCF |
CD STW WS |
|
\(\mathtt{WCD}\left(t\right)=\mathtt{WCF}\cdot\mathtt{PWCIN}\left(t\right)\) |
Worker Cash INflow GDollar/y |
WCIN |
CFWB WIAT |
|
PWCIN TPP |
|
\(\mathtt{WCIN}\left(t\right)=-\mathtt{CFWB}\left(t\right)+\mathtt{WIAT}\left(t\right)\) |
Workers Debt GDollar |
WD |
WND WP |
|
WIC WND WP WDB |
7406.88 |
\(\frac{\mathrm{d}\mathtt{WD}\left(t\right)}{\mathrm{d}t}=-\mathtt{WP}\left(t\right)+\mathtt{WND}\left(t\right)\) |
Worker Debt Burden y |
WDB |
WD WIAT |
|
|
|
\(\mathtt{WDB}\left(t\right)=\frac{\mathtt{WD}\left(t\right)}{\mathtt{WIAT}\left(t\right)}\) |
Worker Disposable Income kDollar/p/y |
WDI |
PWCIN WF |
|
AWBDI |
|
\(\mathtt{WDI}\left(t\right)=\frac{\mathtt{PWCIN}\left(t\right)}{\mathtt{WF}\left(t\right)}\) |
Worker Finance Cost as Share of Income (1) |
WFCSI |
CFWB WIAT |
|
|
|
\(\mathtt{WFCSI}\left(t\right)=\frac{\mathtt{CFWB}\left(t\right)}{\mathtt{WIAT}\left(t\right)}\) |
Worker Income GDollar/y |
WI |
NI WSO |
|
MWD WIAT WTR |
|
\(\mathtt{WI}\left(t\right)=\mathtt{NI}\left(t\right)\cdot\mathtt{WSO}\left(t\right)\) |
Worker Income After Tax GDollar/y |
WIAT |
TP WI WT |
|
INEQ WCIN WFCSI WDB |
|
\(\mathtt{WIAT}\left(t\right)=-\mathtt{WT}\left(t\right)+\mathtt{TP}\left(t\right)+\mathtt{WI}\left(t\right)\) |
Worker Interest Cost GDollar/y |
WIC |
WBC WD |
|
CFWB |
|
\(\mathtt{WIC}\left(t\right)=\mathtt{WBC}\left(t\right)\cdot\mathtt{WD}\left(t\right)\) |
Workers New Debt GDollar/y |
WND |
WD MWD |
WDP |
WD CFWB |
|
\(\mathtt{WND}\left(t\right)=\mathtt{max}\left(0,\frac{-\mathtt{WD}\left(t\right)+\mathtt{MWD}\left(t\right)}{\mathtt{WDP}}\right)\) |
Workers Payback GDollar/y |
WP |
WD |
WPP |
WD CFWB |
|
\(\mathtt{WP}\left(t\right)=\frac{\mathtt{WD}\left(t\right)}{\mathtt{WPP}}\) |
Worker Savings GDollar/y |
WS |
PWCIN WCD |
|
TS |
|
\(\mathtt{WS}\left(t\right)=-\mathtt{WCD}\left(t\right)+\mathtt{PWCIN}\left(t\right)\) |
Worker Taxes GDollar/y |
WT |
ETF2022 ITW |
FETPO |
GGI GNI TP WIAT WTR |
|
\(\mathtt{WT}\left(t\right)=\left(1-\mathtt{FETPO}\right)\cdot\mathtt{ETF2022}\left(t\right)+\mathtt{ITW}\left(t\right)\) |
Worker Tax Rate (1) |
WTR |
WI WT |
|
|
|
\(\mathtt{WTR}\left(t\right)=\frac{\mathtt{WT}\left(t\right)}{\mathtt{WI}\left(t\right)}\) |