How does reputation work in Steemit?

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Background

To indicate author reliability in the Steemit blockchain, there is a means called “reputation” which is basically related to the reward shares (rshares) of the user in terms of their activities in the context of proof-of-brain.

Practically speaking, we can say that reputation is the sum of positive and negative votes (upvotes and downvotes) that a user gets after posting, as it is indirectly affected by the "SP size" and "voting weight" that affects these upvotes and downvotes.

Regarding upvotes - when you vote for a post an amount will appear below mainly based on (SP) and the weight of the upvote which will then be distributed as a reward going through the reward pool, in addition to these gains the reputation value increases.

On the other hand, by pressing downvote, the amount of the reward which also depends on the SP and the weight of the vote will go back to the reward pool and the reputation value decreases.

How is reputation affected?

To know if the reputation of a curator affects the reputation of the author, you can follow this illustration which defines all possible limits.

• Upvoting a user with a lower reputation than the author's reputation will yield a reward according to their SP size and their voting weight, which will thus improve the author's reputation.

• Downvoting a user whose reputation was lower than that of the author will remove the reward which is also the function of their SP size and their voting weight, but has no effect on the reputation of the author.

• A user with a negative reputation cannot upgrade or downgrade the recipient's reputation.

Note : Your reputation score is independent of your own SP, rather it is dependent on the reputation score of the curator and his SP, his upvote/downvote weight.

How is reputation calculated?

Starting our journey on the Steemit platform a default reputation score which is equal to 25 is assigned to each user, and depending on the positive or negative votes they receive, the reputation increases or decreases (subject to the score of curator reputation and rshares, as explained above).

Each successive reputation score increment becomes harder than the previous score.

_Source

What is clear from the graph, that a user can quickly reach the reputation score of 50, but from reputation 60 it starts to slow down.

Also, as shown on the curve, reputation follows a base 10 logarithmic mathematical formula, but actually the numbers that represent reputation score are too long, which can be in the trillions. Therefore, he simplifies it further by using a formula:

Reputation= (Log10(Raw Reputation Score)-9) * 9)+25

Which gives, every new user starts their journey and who has Raw Rep Score = 0 and default reputation equals 25.

Take the case where (Log10(Raw Reputation Score)=100

So Raw Reputation Score= 10¹¹

So if the raw rep score becomes 10¹¹

Reputation= Log10( 10¹¹)-9)*9)+25= 52

Similarly, if the Raw Rep score becomes 10¹²

Reputation= Log10(10¹²)-9)*9)+25= 61

In other words, the reputation increases by nine times, if the reputation raw score increases by ten times.

Let's take a case of calculating reputation using raw reputation score

For this we access the site steemd.com/@username, we replace the username with an existing username. for example, I will choose kouba01.

By clicking on the "Data" tab and scrolling down, you find the reputation based on the raw reputation score.

Raw Reputation Score = 688,297,683,646,775

According to the formula we saw before, we can simplify this score:

Reputation= (Log10(Raw Reputation Score)-9)*9)+25

=> Reputation= (Log10(688,297,683,646,775)-9)*9)+25

=> Reputation= (14.8377-9)*9)+25= 77.539

You can check this figure using the tool Steemworld.org/@kouba01

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I wish that this sixth post in this series helped many users to understand about reputation in steemit blockchain in the hope that the series will continue in a future episodes.

Best Regards,
@kouba01

Cc- @steemcurator01