Grinberg & Rubinstein Economic Sociodynamics (Springer, 2005)

	Frontier of society´s immune			(a)
	activity	IS	Zone of real preferences
		AS
			of the state
	I0S
		AS0	CS	Xi
OII	Zone of latent preferences of the			ZS
	state		Z0S
	O	OI	(Xim-XiR)	Δxi
			Zone of the stimulation	(b)
			of demand by the state
			I2
	I1		C
	Social interest frontier	A
			Z1	Z3

OIncrease in individual incomes

as a result of the realisaztion of social interest S(pimFRpiR)

J

pip

piR

pim

Q

O

Latent consumer

JS income of the state

S(diRsRsJs)

diRs J

diRm

pim

Q

XiR	Xim
	Xi

M

Rm

R

KF

XiR Xim

(c)

P

Difference between individual tax expenses and an increase in individual income as a result of

the realization of socia l interest

S(piRRFRmpip)

D

Xi

Increase in consumer income of the state as a result of the

realization of social interest

S(diRmRmRSdiRs)

				State subsidy devoted
		RS		to the realization of
				social interest
	M	Rm	P
				S(PimFRmdiRm)
	R			DS
		F
	K			D

O

XiR

Xim

Xi

diRs

diRm

Pim

0

J

J

S

Latent consumer income of
the state S(di	Rs	JsRs)

State subsidy devoted to the
realization of social interest
m	Rm
S(Pi FRmdi	)

RS

Increase in the state´s consumer			M	R
Rm	Rs	)
income S(di RmRSdi					m
		R
				F
		K
Q
SOCIODYNAMIC MULTIPLER ´ Ψ´

Rm	Rs	k	m	)
Ψk[S(di	RmRSdi	)]=S(pkRS	Fpi

	xi	R	x	m
				i

		Individual tax expenses	Individual losses as a
	Identitiy	fort the realization of	result of the realization
		social interest	of social interest

	m		R						R	P
	S(pi	FRmpi )							S(pi	RFRmpi	)
	Increase	in individual incomes as a
	result of the realization of social
		m	R
	interest S(pi		FRpi	)
P	J
								M			Rm
	P
	pi
	R
	pi										D
	m							R
DS	pi
	Secondary individual income										F
											D
		- I S(p		R	I		Fp m)
					s				1
	Q		I				i
								RS
D	P
	1
	Secondary individual income
		- II S(p2Rs			2		m
						Fpi )		RS	2
	P2
	Secondary individual income								3
					k		m	R
		– k S(pkRs				Fpi )			S
	P3
	ψ
	JS
	0								R	Xi	m
								Xi

P

ψ S