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 Mathematics of Corruption -2

The intriguing aspect of human history is that some human habits, which seem to thrive for a certain period and lead to evolutionary changes, begin to decline after reaching a certain level of progress. The end of civilization due to a catastrophic natural or artificial event is not unexpected. However, the fact that these civilizations cannot recover even long before a disaster fails is difficult to explain. If a group of people could create an advanced civilization at some point in time, it would be much easier for them to do it again with the added benefit of experience. But we find again and again that this is not happening. Thus, the sites of mankind are the earliest civilizations - the Indus Valley. Mesopotamia and Egypt are among the most backward places in the world. Five thousand years ago, Indus Valley residents used private bathrooms with running water and sewage. Today, most of the inhabitants of the area are defecating in the open air, like animals. At one time, Greece and Rome led Europe; Today they are very hard to occupy a leading position on one continent.

It can be assumed that the original leading civilizations refused because of the genetic breeding of the original people as a result of mixing with the wider undeveloped population. Nevertheless, we have often noticed that even a small group of influential and developed people can help create an advanced civilization, although the majority of the population has not completely evolved. Another reason why the ancients, prone to the decline of civilizations, are moral decay and corruption. Once it enters society, it is a persistent infection caused by greed, which can prevail for thousands of years. Despite the fact that corrupt societies are usually corrupt across the board, corruption among wealthy and influential people has the greatest impact on society. A corrupt dictator, even if he can function as a democratic leader, can impoverish an entire nation. Similarly, corruption between politicians, the police, the judiciary, senior administrators and influential businessmen in a country can cause many people to directly or indirectly generate poverty as a result of their actions.

To illustrate the fact that corruption among the few can lead to the impoverishment of many in any society, consider a simplified mathematical model. Poverty of social groups is a game of numbers and therefore suitable for mathematical modeling. We assume that, on average, the financial corruption of one rich member in any country leads to the poverty of ten members of society. This is not an assumption on the high side, since it was stated that a single dictator could cause poverty among millions. The term rich is an abstract term that is understood differently by different people. Here we can assume that the most basic of the rich people is the one who is not deprived of basic necessities of life - that adequate nutritional food, suitable housing, clothing and basic medical needs, educational needs, etc. For a family, it is easily accessible for such a person. This contrasts with people who cannot afford nutritious or sufficient food, living quarters, etc., and then can be considered poor. Among the rich, of course, there would be some who could hardly cope with the definition that they were rich, while some of them could be considered dirty rich, having enough money not only for their basic needs, but also for burning or throwing. There may even be several members of society who are ultra-rich. They are like the richest people in the world who not only have enough money to burn, but if they continue to do this, their lifespan will not be enough for this task.

Returning to our initial assumption that, on average, the financial corruption of one rich person impoverishes ten people, we can get a simple relationship between the scale of corruption and poverty in society. Thus, if ninety percent of rich people are corrupt, wealthy through unfair means, this will result in ninety percent of the population being poor. Of every ten rich people, nine would be corrupt, and these nine would lead to ninety poor people. The situation described here is not very different from the situation today in some developing countries. On the other hand, if only one percent of the rich is corrupt, this leads to a society in which only ten percent of the population is poor. Out of every hundred people, ninety rich eighty-nine, who received such a path from honest efforts with only one collection of ill-removed wealth. This situation may not differ much from the situation in some rich countries of the world today. Similar arguments are also used domestically, and it can be noted that poor provinces are those where corruption is more common. The argument that poverty leads to corruption cannot be caused here by the fact that we now consider corruption only among the rich. A mathematical connection can be developed based on the present assumption.

If the country has an R percentage of rich people with interest income C, then

(RC / 100) x 10 = 100 - R

Consequently,

RC / 10 + R = 100

Or,
RC + 10R = 1000

And,

R = 1000 / (C + 10)

Based on the developed equation, we can suggest the effect of percentage corruption on percentage poverty. This is shown in table 4.1.

Table 4.1: Impact of Corruption Levels on Poverty Levels, P

C%, R%, P%,

1, 90.9, 9.1

2, 83.3, 16.7

3, 76.9, 23.1

4 71.4, 28.6

5, 66.7, 33.3

6, 62.5, 37.5

7, 58.8, 41.2

8, 55.6, 44.4

9, 52.6, 47.4

10, 50.0, 50.0

20, 33.3, 66.7

30, 25.0, 75.0

40, 20.0, 80.0

50, 16.7, 83.3

60, 14.3, 85.7

70, 12.5, 87.5

80, 11.1, 88.9

90, 10.0, 90.0

100, 9.1, 90.9

The analysis here is extremely simplified. A phenomenon as complex as human behavior requires much more complex processing. Although the complex model of the results obtained will not be much different. Even a simple model illustrates the insidious effect of corruption among rich and powerful members of society on society as a whole. The table illustrates that even if 20% of the rich members of a society are corrupt, this can lead to the majority of the society being poor. On the other hand, when corruption crosses the 70 percent level, it is strictly important if it is eighty or ninety or even one hundred percent. The bad should be limited to about ninety percent. There must be some people to consume nature. This insidious effect of corruption in society is dramatized by this mathematical analysis. It shows how important it is to defeat this evil if human societies are to become prosperous.




 Mathematics of Corruption -2


 Mathematics of Corruption -2

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