JOURNAL OF GLOBAL TRADE, ETHICS AND LAW

Volume 2 Issue 2, 2024

A COMPREHENSIVE SIMULATION OF THE RUSSIA-

UKRAINE ARMED CONFLICT: APPLYING THE POST-

WAR ECONOMIC IMPACT SIMULATOR (PEI-

SIMULATOR)

Mario Arturo Ruiz Estrada,1 Alam Khan 2

1 University of Economics and Human Sciences, Warszawa, Poland, m.estrada@vizja.pl.

2 Kohat University of Science & Technology, Kohat, Pakistan, alamkhan@kust.edu.pk.

Abstract. This paper introduces a new economic simulator in the case of a war, this

new economic simulator is entitled “The Post-War Economic Impact Simulator

(PEI-Simulator).” The primary objective of the PEI-Simulator is to analyse wars at

various stages to assess their overall socio-economic impact in both the short and

long term. Additionally, it shifts away from the traditional benefit-cost analysis of

war, introducing a new simulator that represents war scenarios from a more complex

and dynamic perspective. The PEI-Simulator assesses the economic impacts of

countries thorough the possible scenario of a partial or full war in three different

stages: (i) pre-war stage; (ii) war stage; (iii) post-war stage. The analysis makes use

of different indicators such as economic desgrowth from war (-δwar), war intensity

(I), war losses (-Lwar), economic wear from war (Πwar), level of war tension

(Twar), level of diplomatic negotiations (D), and the total economic leaking from

war (Ωwar). Lastly, this research applies the PEI-Simulator to evaluate a possible

full war between Russia and Ukraine.

Keywords: Russia, Ukraine, War, Economic Simulating, Economic Desgrowth.

JEL: C60, Q48, R11

Journal of Global Trade, Ethics and Law

ISSN 2977-0025 (Online). Published under Creative Common (CC) BY 4.0 license.

https://doi.org/10.70150/3mgcmz58

Mario Arturo Ruiz Estrada & Alam Khan, 2024

Introduction

The paper written by Pethick Lawrence hundred and seven years ago in 1915 introduce

the first theoretical analysis of war economics modelling. Lawrence’s paper offers a

simplified explanation of the economic high price of war from a qualitative point of view.

Additionally, the same paper enumerates twelve negative economic effects of war,

including large losses in the international trade, high debts, currency depreciation,

taxation, high military expenditures, and huge inflation that can generate a slowdown in

the economic growth in the short run. In fact, the paper marks a first, valiant attempt to

apply economics to analyse the relationship between war and economic performance

(Ruiz Estrada, Park, and Kim, 2015).

Different models to evaluate the damage of war applies the cost-benefit analysis

constantly, comparative historical data, correlations, and forecasting. In this connection,

(Blattman and Miguel, 2010) explain the differential effects of war on the economic

growth. Other notable research papers pertaining to war economics include Pasvolsky,

Leo. (1942), Boden (2008), Rasler and Thompson (1985), Markusen (1992), Barro and

Lee (1994), Collier (1999), and Murdoch and Sandler (2002). A large part of these papers

is using classical models or neoclassical models. Both variants of models are based on

the analysis of basic economic variables such as government spending, production costs,

consumption, inflation, and unemployment. According to Bergsten (1990), the

unconditional relation between war and economic growth contains limited information.

For example, a lack of a relation does not necessarily imply that wars do not affect

economic performance if different types of war were associated with different patterns

and environments, and the combination of the different factors and led to a zero

unconditional effect.

According to Smith (2014), the most recent evaluations of the economic costs of war

and military conflicts are presented with a detailed examination of various research

papers. This includes works by Stiglitz and Bilmes, which highlight the financial

implications of the Iraq war for the U.S., as well as studies on other conflicts, such as

those in Afghanistan and the Basque region. These analyses employ diverse

methodologies, including accounting procedures, statistical techniques (time series,

cross-sectional, and panel data analysis), and financial assessments such as stock market

analyses.

Smith's document primarily focuses on the methodologies used to quantify the costs of

war, emphasizing the evaluation of material and human losses, albeit superficially. While

existing studies predominantly rely on analytical statistical models, they lack a

comprehensive mathematical simulator capable of capturing the full spectrum of war

dynamics—spanning pre-war, war, and post-war phases. In this context, we propose a

comprehensive and dynamic tool called the "Post-War Economic Impact Simulator (PEI-

Simulator)." This simulator aims to address the limitations of existing methodologies by

providing a holistic and systematic approach to analysing the economic impacts of war

across all stages.

The primary objective of PEI-Simulator is to evaluate an economy in times of a war.

We hope that PEI-Simulator can fill the gap in the economic modelling literature. The

Mario Arturo Ruiz Estrada & Alam Khan, 2024

PEI-Simulator is based on seven basic indicators - economic desgrowth from war (-δwar),

war intensity (Iwar), war losses (-Lwar), economic war wear (Πwar), level of war tension

(Twar), level of diplomatic negotiations (D), and the total economic leaking from war

(Ωwar). The methodology and approach used in the PEI-Simulator applies different

mathematical and graphical analytical frameworks. To illustrate and illuminate the PEI-

Simulator, we apply the Simulator to a full armed conflict between the Russia and

Ukraine. We believe that this research makes a contribution toward a more systematic

measurement of the war impact on any economy.

An important value-added of the PEI-Simulator, in the context of contributing to a more

precise understanding of wars damages from material and human perspective, is that it

accounts for the uncertainty changes inherent in any war. The PEI-Simulator does so

within the theoretical framework of a Dynamic Imbalanced State (DIS) (Ruiz Estrada and

Yap, 2013) and the Omnia Mobilis assumption (Ruiz Estrada 2011). The idea is to move

beyond classical economic modelling such as cost benefit analysis, CGE Simulator, and

RECIPE Simulator to a new economic modelling to evaluate the damages of any war

from ex-ante (before war) to ex-post (after war) – by utilizing Econographicology (Ruiz

Estrada, 2017). We think that this alternative simulator can yield interesting and relevant

insights which can proper forward the measurement of the war effects in the economic

performance in the short run.

1. An Overview of the Economic Condition

1.1. An Overview of the Economy of Russia

Russia's economic situation in 2024 reflects a mix of resilience and structural

challenges. The economy is expected to grow 3.6% in 2024, a revision from the 3.2%

forecast, mainly due to increased government spending. Especially in the areas of defense

and public infrastructure. Oil and gas revenues continue to play an important role.

Supported by the weakening ruble... occurred, which increased the value of energy

exports in local currency. And strong global demand (The Moscow Times, 2024; Meduza,

2024), non-oil revenues increased significantly thanks to VAT, generating $36.3 billion

in the first quarter alone (Meduza, 2024). But Russia still faces challenges… In September

2024, inflation stood at 8.6%, driven by a tight labour market and high government

spending. to cope with inflationary pressures The Russian Central Bank raised interest

rates to 19%, resulting in a slowdown in consumer activity and the growth of private

investment. military spending It is expected to increase about 30% to $145 billion by

2024, which currently represents 40% of federal spending. This raises concerns about the

convergence of investments in other areas. Importantly (TASS, 2024; Meduza, 2024),

despite shrinking from 3.2 trillion rubles in 2023 to a projected 2.5 trillion rubles in 2024,

this fiscal deficit remains. is a cause for concern Analysts warn that this reform is short-

term and highly dependent on privatization of state assets and energy progress. The

sustainability of the fiscal strategy is questionable. This is especially true when inflation

Mario Arturo Ruiz Estrada & Alam Khan, 2024

affects public finances and consumer purchasing power (Meduza, 2024; The Moscow

Times, 2024). In summary, although the Russian economy is showing improved short-

term resilience, it is strengthened by strategic government policies and strong energy

revenues. But its long-term stability depends on managing inflationary pressures and

diversifying its economic base.

1.2. An Overview of the Economy of Ukraine

The period between the 1991 and 2014 marked a time of Ukraine dark history. This

was a period in time that witnessed an almost inexplicable, difficult and protracted armed

conflict that claimed thousands of lives and destroyed the economic and social fabric of

the country. The country was hard hit with high inflation, unemployment and poverty

such that the Growth National Production rate could not respond to population growth

rate. The policies proposed include (i) floating the exchange rate to keep competitive

exports in the international market and attract Foreign Direct Investments (FDI); (ii) more

controls on money supply by the central bank; (iii) the increment of taxation (direct and

indirect taxes); (iv) the reduction of government expenditure justified by the large

bureaucracy and inefficient public companies results; (v) the privatization of public

services and companies (such as electricity, water supply, transportation systems,

telecommunications systems, infrastructure systems, public education, low cost housing

credit, and public health care system). Sadly, these policies after their implementation did

not deliver the positives expected of the economy but negatively impacted majority of

Ukrainians in light of increased poverty.

Since the 1919 up into the 1990’s, Ukraine was highly dependent on Russian military

and economic support. Hence, it was heavily reliant on imports, which registered a

constant growth rate estimated at 45% annually and which consequently, increased the

country’s negative trend in its balance of payments in trade and escalating external debt.

In fact, this marked the period many economists dubbed “lost decade” in Ukraine

economic history. Here in this research, we refer to this particular period as the Ukrainian

economic lower growth. From an ideological and political view point, the cold war of the

1919 to the 1991 that divided countries and groups along ideologies of capitalism and

socialism undeniably sowed the seeds of chaos and the protracted armed struggle in the

country. This period witnessed the formation and rise of armed confrontations between

the Russian army and Ukrainian army, which led to decades of war that tore apart and

stalled the country’s economic development and progress. The country’s battle with

Russia and Ukraine army was of crucial geopolitical, ideological and military interest for

the Russia during the cold war in light of the serious threats coming from United States

and Europe Union expansion in East Europe such as the case of Poland. Out of

desperation to stop such expansion, the Russians heavily supported dictators, military

cupola and right-wing political parties with huge military logistic cooperation and

assistance in the form of finance, training, equipment, and armament to contain the

capitalism advances in East Europe. With these developments came the absolute

dictatorship of the military regime in power that was synonymous with violence,

Mario Arturo Ruiz Estrada & Alam Khan, 2024

repression and coercion as its tactics to subdue society. From the 1919’s up into the

1990’s. The middle of the 1990’s however, saw a turning point as the country made

significant progress towards stability and improvement in its democratic process and

human rights. The cold war and the internal ideological war that ensued in Ukraine left a

vicious cycle of violence and a host of criminal organizations such as paramilitary groups,

militia groups that continue to ravage Ukrainian society and image up to this day with

deleterious consequences to its socio-economic and political wellbeing.

2. Economic Desgrowth from war (-δwar) and Total Economic

Leaking from War (ΩWar)

In this section, we discuss the concept of economic desgrowth from war (-δwar)

according to Ruiz Estrada, Yap, and Park (2014), which plays an essential role in the

construction of the PEI-Simulator. The main objective of inclusion of “economic

desgrowth from war (-δwar)” is to create an economic indicator that can help us to analyse

how controlled and non-controlled shocks from war can adversely affect GDP in the short

run. Economic desgrowth from war (-δwar) is delineated as “an indicator that can show

different leakages, originated from controlled and non-controlled events from war that

can bear on the execution of the final GDP formation into a period of one year”. At the

same time, the PEI-Simulator includes the Lorenz transformation assumptions (Lorenz,

1993) to facilitate the analysis of economic desgrowth from war (-δwar).

In addition, the PEI-Simulator assumes that economic degrowth resulting from war (-

δwar) represents the extent to which GDP deteriorates due to the total economic leakage

from war (Ωwar). This leakage perpetually expands, exerting a continuous negative

influence on GDP formation over the course of a year, as modelled by the simulator.

The total economic leakage from war (Ωwar) originates from numerous small-scale

economic disruptions, which collectively and significantly impact GDP performance.

According to the PEI-Simulator, this leakage is determined by nine critical variables,

these nine variables were selected based on macro-socio-economic and military variables.

They are as follows: (i) αwar11 is equal to β1 (active population between 15 and 65 years

old) to the power of exp-1 (soldiers demand growth rate); (ii) αwar 12 is equal to β2 (military

production) to the power of exp-2 (arms and guns production growth rate); (iii) αwar13 is

equal to β3 (natural resources supply in Km2) to the power of exp-3 (raw material, food

supply, and water for war in Km2); (iv) αwar21 is equal to β4 (national budget for military

defense) to the power of exp-4 (taxation growth rate); (v) αwar22 is equal to β5 (military

infrastructure in Km2) to the power of exp-5 (budget for military infrastructure growth

rate); (vi) αwar23 (military research and development) is equal to by β6 (military R&D

investment) to the power of exp-6 (financial resources for military R&D); (xii) αwar31 is

Mario Arturo Ruiz Estrada & Alam Khan, 2024

equal to β7 (international credit for war) to the power of –exp-7 (debts growth rate); (xiii)

αwar32 is equal to β8 (total population affected from war by Km2) to the power of exp-8

(refugees growth rate); (ix) αwar33 is equal to β9 (international reserves in US$) to the

power of exp-9 (exchange rate depreciation growth rate). The final measurement of total

economic leaking from war (Ωwar) is derived by applying a large number of multi-

dimensional partial derivatives on each variable (9 variables) to evaluate the changes of

each variable between the present time (this year) and the past time (last year) according

to expression 1. Additionally, the exponent [(exp−i)={1,2,3,4,5,6,7,8,9}] is applied to

each economic leakage, representing nine growth rates that indicate the variation in the

total output of each variable between the current year (t) and the previous year (t−1).

ΔΩwari = ∑∂βiexp-I (t)/∂βiexp-j (t-1) ≥ R+ ≤ 0 (1)

Where the exponent exp-I or exp-j can be replaced by any of the nine different exponents

in (see expression 2).

Βiexp-I or exp-j = (exp-1, exp-2,exp-3,exp-4,exp-5,exp-6,exp-7,exp-8, exp-9\) (2)

The next step in the calculation of total economic leaking from war (Ωwar) is to calculate

the denominator by applying the Jacobian determinant under the first-order derivatives.

At the same time, we apply an inverse matrix (see expression 3).

-1

Ωwar11 Ωwar12 Ωwar13

∆-1 = Ωwar21 Ωwar22 Ωwar23

Ωwar31 Ωwar32 Ωwar33 (3)

The final step is to determine the total economic leaking from war (Ωwar) by dividing

1 by the inverse matrix from (see expression 3) to the power of 2 (see expression 4).

Ωwar = 1/(∆-1)2 (4)

Lastly, it is possible to calculate economic desgrowth from war (-δwar) as in (see

Expression 5).

-δwar = √GDPrp [1/ Ωwar]-1 => 0 ≥ -δwar ≤ -1 (5)

Mario Arturo Ruiz Estrada & Alam Khan, 2024

The computation of economic desgrowth from war (-δwar) is based on the final GDP in

real prices (GDPrp) and total economic leaking from war (Ωwar) from expression 4.

Boundary conditions for economic desgrowth from war (-δwar) is equal to expression 6.

-δwar' = ∂-δwar’0/∂T│t=0 = 0, ∂-δwar’1/∂T│t=1 = 1, ∂-δwar’2/∂T│ t=2 = 2, …, ∂-δwar’∞/∂T│ t=∞ = ∞ (6)

On the other hand, the full potential GDP (GDPPOT) calculation is shown in

expression 7. We find the maximum output of capital formation, labour output, land

exploitation, and technology uses maximization:

GDPPOT = [1/∑(∆Capitalfo, ∆Laborfo, ∆Landfo, ∆Tehnologyfo)]2 (7)

The calculation of economic desgrowth from war (-δwar) is based on the application of

the Omnia Mobilis assumption of Ruiz Estrada (2011) to generate the relaxation of the

total economic leaking from war (Ωwar) calculation (non-controlled and controlled events)

and the full potential GDP (GDPPOT).

2.1. PEI-Simulator

In this section, we derive the PEI-Simulator, which can be classified into three stages:

(i) pre-war stage; (ii) war stage; and (iii) post-war stage. The PEI-Simulator uses three

different groups of players. The first group of players is the main conflict players (Pi and

P2). The second group of players is the regional players (RPj; j= (1,2,…, ∞)). The last

group of players is the large war partners (LWPk; k= (1,2,…, ∞)).

2.1.1. Pre War Stage

The PEI-Simulator assumes that there are four main causes of war: (i) historical issues

(H); (ii) economic expansion (E); (iii) ideological differences (I); and (iv) military rivalry

(M). These four factors directly affect “the level of war tension (T)”, which is a function

of four variables as in expression 8.

T = ƒ(H, E, I, M) (8)

So, the following measure is to compute the minimum and maximum level of war

tension (T) through the application of the first derivative according to expression 9.

ƒ’(T) = (∂T/∂H) + (∂T/∂E) + (∂T/∂I) + (∂T/∂M) (9)

Moreover, the level of war tension (T) applies a second derivative to find the inflection

point according to (10).

Mario Arturo Ruiz Estrada & Alam Khan, 2024

ƒ”(H, E, I, M)= (∂2T/∂H2) + (∂2T/∂E2) + (∂2T/∂I2)+ (∂2T/∂M2) (10)

To probe the level of war tension (T) we apply the Jacobian determinants under the

first-order derivatives (see expression 11).

∂T/∂H ∂T/∂E

| J’ | = ∂T/∂I ∂T/∂M (11)

On the other hand, the application of the Jacobian determinants under the second-order

derivatives can help to find the inflection point in the level of war tension (T) between the

two players (see Expression 12).

∂2T/∂H2 ∂2T/∂E2

| J’’ | = ∂2T/∂I2 ∂2T/∂M2 (12)

Consequently, initial conflict is necessary to assume that the level of war tension (T)

(endogenous variable) is going to determine the level of diplomatic negotiations (D)

(exogenous variable) in the form of international community intervention under regional

organizations (ROb; b= (1,2,…, ∞)) or supranational organizations (SO) such as the

United Nations. In this part of the PEI-Simulator if the level of war tension (T) is

escalating then the level of diplomatic negotiation (D) is going to be more intensive until

all possibilities to secure peace between the two players are exhausted. Hence, the level

of diplomatic negotiations (D) depends directly on the level of war tension (T) in the short

run. The supranational organization (SO) may play a crucial role in the diplomatic

negotiations (D). If the level of war tension (T) rises, then the level of diplomatic

negotiations (D) will play an important role in reducing tension between the two players

(𝑃1∧ 𝑃2).

T = xlog2(D) => { D / D : RO ∩ SO } (13)

2.1.2. War Stage

The war or military conflict stage consists of two stages – (i) war preparation stage and

(ii) war stage.

2.1.2.1.War Preparation Stage

In the pre-war stage, it is necessary to assume that both players have

different economic desgrowth from war (-δwar) levels (see expression 14).

Mario Arturo Ruiz Estrada & Alam Khan, 2024

P1(-δwar) ≠ P2(-δwar) (14)

Therefore, the levels of total economic linking from war (Ωwar) for both players

(𝑃1∧ 𝑃2) have different proportions (∆) according to (15).

P1(∆Ωwar) ≠ P2(∆Ωwar) (15)

In the period of war, both players fully reject any diplomatic negotiation. This means

that if the level of war tension (T) reaches its maximum limit then diplomatic negotiations

(D) fail (see Expression 16).

Tmax = ƒ’(D) = ∂xlog2(T)/∂D > 0 (16)

Accordingly, this part of the PEI-Simulator requires the application of a second

derivative to observe the estimate the inflection point.

Tmax = ƒ”(D) = ∂2xlog2(T)/∂D2 > 0 (17)

2.1.2.2.Actual War Stage

If war starts now between (𝑃1∧ 𝑃2) then economic desgrowth from war (-δwar) can

expand quickly, butt in different magnitudes P ((∆-δwar) ≠ P ((∆-δwar). The intensity of the

war (I) is going to define the focal ratio of total economic leaking from war (Ωwar). The

intensity of the war (I) is calculated using nine main variables. These nine variables are

based on: (i) external military support (I1); (ii) war technological systems (I2); (iii) army

size (I3); (iv) strategy, information, and logistic systems (I4); (v) natural and geographical

conditions (I5); (vi) society support (I6); (vii) military know-how (I7); (viii) transportation,

communications, and IT systems (I8); and (ix) industrial structures (I9) (see Expression

18). The PEI-Simulator also assumes that in the long run economic desgrowth from war

(-δwar) and war losses (-L) can seriously impede the recovery of both players (𝑃1∧ 𝑃2)

albeit to different extents in the post-war stage.

∂I/∂I1 ∂I/∂I2 ∂I/∂I3

| J’ (I) | = ∂I/∂I4 ∂Ii/∂I5 ∂I/∂I6 (18)

∂I/∂I7 ∂I/∂I8 ∂I/∂α9

Therefore, economic wear from war (Πwar) depends on the changes of economic

desgrowth from war (-δwar) and war losses (-L) according to expression 19.

Πwar = ƒ(-δwar,-L) (19)

Mario Arturo Ruiz Estrada & Alam Khan, 2024

The final step is to calculate economic wear from war (Πwar) according to (20).

1 1

Πwar = [∫ ΩWAR(Ωi,-L)-nt dt]-[ ∫ -δwar(Ωi,-L)-nt dt] (20)

0 0

We estimate the marginal economic wear from war (Πwar) by first-order derivatives

(see expression 21). At the same time, we apply the second-order derivative on economic

wear from war (Πwar) to find the inflection point (see Expression 22)].

Πwar‘ = ∂Πwar<t>/∂Πwar<t+1> (21)

Πwar” = ∂2Πwar<t>/∂Πwar2<t+1> (22)

Hence, the boundary conditions for economic wear from war (Πwar) are equal to (23).

Πwar' = ∂Πwar’0/∂T│t=0 = 0, ∂Πwar’1/∂T│t=1 = 1, ∂Πwar’2/∂T│ t=2 = 2, …, ∂Πwar’∞/∂T│ t=∞ = ∞ (23)

2.1.2.3.Post-War Stage

Warfare of between the two players(𝑃1∧ 𝑃2) creates a loser and winner. The winner

usually suffers less economic leaking from war (Ωwar), war losses (-L), and economic

desgrowth from war (-δwar) during the war. In the PEI-Simulator, the winner is identified

as P1. On the other hand, the loser suffers relatively more economic leaking (ΩT), war

losses (-π), and economic desgrowth (-δ) in the war and in the PEI-Simulator, the loser

has been denoted as P2.

P1(-L, -δwar, Ωwar) < P2(-L, -δwar, Ωwar) (24)

The PEI-Simulator assumes that the winner (P1) will find it difficult to recover from

the war. The compensation of economic wear from war (Πwar) from the loser to the winner

will levy huge burden to its own economy which will slow down the economic recovery

of the losing player (P2). Intuitively, recovery from the economic desgrowth from war (-

δwar) will be quicker for the winning prayer (P1) than the losing player (P2). To improve

economic desgrowth from war (-δwar) and war losses (-L), the losing player (P2) requires

a multilateral reconstruction plan, international assistance, and institutional and society

re-organizing in order to rebuild a new post-war structure such as political, societal,

technical, and economic systems.

P1(∂-δo/∂-δf) < P2(∂-δo/∂-δf) (25)

Mario Arturo Ruiz Estrada & Alam Khan, 2024

In the long run the winning player (P1) and losing players (P2) can experience different

magnitudes (∆) and trends of economic desgrowth from war (-δwar) and war losses (-L).

Additionally, the recovery of both players depend on their integral social,

economic, technological, and political development model until the war losses (-L) is

equal or close to zero.

[P1(∂-δo/∂-δf) ≤ 0] v [P2(∂-δo/∂-δf) ≤ 0] (26)

3. Application of the PEI-Simulator: A War Simulation Between

Russia and Ukraine

In this section, we apply the PEI-Simulator in case a full war between Russia and

Ukraine in the year 2024. Tension between the two nations has recently been intensifying.

Underlying the tension is the unrelenting ascent of Russia as a super military power, and

a corresponding relative decline in the power of Ukraine. The immediate flashpoint is a

festering maritime dispute over the ownership of land that is part of Ukraine known as

Donbass (see Figure 1). We seek to evaluate the effects of a possible war between Russia

and Ukraine by applying the PEI-Simulator. The example employs three different groups

of players. The partnership players are three large military powers (Ai) - U.S. (A1), EU

(A2), and China (A3). At the same time, we have Ai that represent alliances. Hence, we

have three different sets of countries denoted by 27, 28, and 29.

P1 = {x/x:A3} (27)

P2 = {x/x: A1 U A2 } (28)

(P1∩A1)  (P2 ∩[A1 U A2]) (29)

The PEI-Simulator assumes that P1 (Russia) is going to get support from China (A1).

On the other hand, P2 (Ukraine) will get support from EU (A1); USA (A2). The three main

elements that can precede to a war between P1 (Russia) and P2 (Ukraine) are: (i) historical

issues stemming from the Cold War; (ii) rapid military expansion of Russia; and (iii)

rivalry for military supremacy and hegemony in East Europe. These factors have jointly

generated a high level of war tension (T) between P1 and P2.

According to the PEI-Simulator for year 2024, we have the level of military tension

(T) between P1 (Russia) and P2 (Ukraine) increases from 0.35 in 2014 to 0.97 in 2024.

The average economic leaking from war (Ωwar) between the two rivals are 0.35 (P1)

and 0.75 (P2) in the 1990s and 0.37 (P1) and 0.99 (P2) in 2024. Economic desgrowth from

war (-δwar) of P1 (Russia) and P2 (Ukraine) is averaged -0.33 and -0.63 in the 1990s, and

-0.55 and -0.97 in 2024. Average war economic wear (Πwar) of P1 (Russia) and P2

(Ukraine) was 0.37 and 0.43 in the 1990s and 0.55 and 0.99 in 2024. On the other hand,

Mario Arturo Ruiz Estrada & Alam Khan, 2024

if war erupts between the two East European countries, we need to take into account the

relative weighing that exists between the two players (P1:P2). According to PEI-

Simulator, the relative weighting for different dimensions is as follows: military external

support (1:2); war technological systems (9:2); army size (11:1); strategy, information,

and logistic systems (10:2); natural and geographical conditions (10:1); society support

(10:3); military knowhow (10:2); viii) transportation, communications, and IT systems

(10:2); and industrial structures (10:1). In the simulation for year 2024, we can see that

P1 (Russia) clearly enjoys a superior position relative to P2 (Ukraine). Therefore, P1

(Russia) is more likely to win the war over P2 (Ukraine). Economic leaking from war

(Ωwar) of P1 (Russia) and P2 (Ukraine) during the war is equal to 0.70 and 0.99

respectively. The economic desgrowth from war (-δwar) of P1 (Russia) and P2 (Ukraine) is

estimated to -0.65 and -0.95 (see Fig. 1). Finally, war losses (-L) of P1 (Russia) and P2

(Ukraine) can reach -0.65 and -0.95. Economic wear from war (Πwar) in P1 (Russia) and

P2 (Ukraine) is equal to 0.60 and 0.95 (see Fig. 2). To minimize the economic desgrowth

from war (-δwar) and war losses (-L), the losing player P2 (Ukraine) should arm with a

systematic multilateral reconstruction plan, international aid, as well as institutional and

society re-organization, the major source of postwar restoration of the country.

Graph 1: Economic Desgrowth from war (-δwar) in Post-War Stage between Russia (P1) and Ukraine

(P2) for year 2024.

Source: Author calculations

Mario Arturo Ruiz Estrada & Alam Khan, 2024

Graph 2: Economic Wear from War (Πwar) in Post-War Stage between Russia and Ukraine for year

2024.

Source: Author calculations

Figure 1: Land Border Conflict between Russia and Ukraine

Source: Open Street Maps, Time Reporting, Doug Stevens/@LA-times-graphics

Mario Arturo Ruiz Estrada & Alam Khan, 2024

4. Concluding Observations

In most of the cases, wars have a huge impact on economic performance yet such

economic impressions are seldom formally modelled. The key objective of our paper is

proposing a new simulator which analyse the impact of war on the economic

performance. The Post-War Economic Impact Simulator (PEI-Simulator) assesses the

economic effects of participating countries in accordance with the possible scenario of

war in three different stages: (i) pre-war stage; (ii) war stage; and (iii) post-war stage. The

PEI-Simulator introduces a number of new indicators, including economic desgrowth

from war (-δwar), war intensity (I), war losses (-L), economic wear from war (Πwar), level

of war tension (I), level of diplomatic negotiations (D) and total economic leaking from

war (Ωwar). The underlying intuition is that the economic impact of war depends on a

country’s vulnerability to international or regional conflict, which jointly determines the

leakage from economic growth from war (-δwar) and hence the impact on economic

growth performance. We believe that the PEI-Simulator will contribute to a better and

deeper apprehension of the economic impact from war.

The estimation results derived from the simulator for year 2024 shows that if GDP

growth rate in real prices (GDPrp) is small, then the total economic leaking from war

(Ωwar) will severely affect the performance of any economy. At the same time, this

economy will experience permanent economic desgrowth from war (-δwar). On the other

hand, if the GDP growth rate in real prices (GDPrp) is large, in the short run, the total

economic leaking from war (Ωwar) will have rather limited impact on the performance of

the economy while it may later rise to a level that can cause economic desgrowth from

war (-δwar). Here, the economic wear from war (Πwar) analysis is based on four main

variables such as economic desgrowth from war (-δwar), war losses (-L), the total

economic leaking from war (Ωwar), and the intensity of war (I). Our analysis demonstrates

that war losses (-L) and economic leaking from war (Ωwar) can affect economic wear from

war (Πwar) performance directly. We find that country, who suffers less war losses (-L)

and war intensity (I) volumes, which would reduce the extent of total economic leaking

from war (Ωwar) and economic desgrowth from war (-δwar), is most likely to win the war

over the other. The longer the period of war between the two countries, the higher the

economic desgrowth from war (-δwar) due to a considerable damage in war losses (-L) and

war intensity (I). The recovery evolvement of the two participants in terms of economic

desgrowth from war (-δwar) rates will differ in magnitude (∆). Recovery progress depends

directly on achieving a better GDP growth pace in real prices (GDPrp). It also relays on

greater control of the total economic leaking from war (Ωwar) and reduction of war losses

(-L) in the short run.

Finally, applying the PEI-Simulator on a full war between Russia and Ukraine, we

find that Russia will presumably win the war over Ukraine. The analysis presents that

economic leaking from war (Ωwar) can amount to 0.70 for Russia and 0.99 for Ukraine in

case of the war in year 2024. The corresponding figures for economic desgrowth from

war (-δwar) during the war are -0.65 for Russia and -0.95 for Ukraine. Accordingly, the

war losses (-L) reach -0.65 for Russia and -0.95 for Ukraine. Lastly, economic wear from

war (Πwar) is 0.65 for Russia and 0.95 for Ukraine. The winner and loser in the post-war

Mario Arturo Ruiz Estrada & Alam Khan, 2024

stage will depend on the level of economic desgrowth from war (-δwar), total economic

leaking from war (Ωwar), and war losses (-L). We believe PEI-Simulator will present a

more precise picture of the economic effects of war between Russia and Ukraine. As we

had witnessed from the two world-wars, wars impose significant consequences to the war

participation agencies and sometimes to the world economy. Despite of such imperative

fall out of war, modelling of its economic effect has been rarely explored. This is not

surprising as wars are fraught with uncertainty and often driven by non-economic factors

such as geopolitical self-interest or nationalism.

Funding

The research received no specific grant from any funding agency in the public, commercial, or

not-for-profit sectors.

Conflicts of interest

The author(s) states that there is no conflict of interests.

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