## Economy – Development of a profit maximization model – Multi-level game

I am looking for help in designing a multi-level game for a network simulator that I build.

In this network, the actors have the choice of setting up a number of units and filling their units with money. They have a fixed amount of money to start with, and strive to get the most financial reward possible.

Before the game starts, each actor has a heterogeneous amount of money and no units.

A pot of money is distributed to the players according to their relative size in the market, which results from the number of units and the amount of money in each unit. In particular, each unit receives a score, and the proportion of the reward that can be claimed for that unit is determined by the score of that unit divided by the total score of all units in the network. Logically, an actor's reward is the sum of his unit's scores divided by the scores of all units in the network.

The score of a unit is divided into two parts: operation and investment. One unit receives 0.7 points for operation (it is assumed that all units reach at least this score), and one unit can receive up to 0.3 points for the amount of investment in the node.

There is a minimum investment of \$ 20 for a unit to qualify for rewards. If a unit has the minimum investment, it will receive 50% of the total investment potential – 0.15. This gives a node with the minimum investment amount a score of 0.85.

For all above-minimum investments, there are falling marginal returns. The optimal investment is \$ 50, which gives 90% of the total possible investment points – 0.27 – and a total score of 0.97

As a further reference, the percentages of the total possible investment points (0.3) are given for each investment step.

\$ 20 – 50% (from 0.3) -> .15

25 – 65%

30 – 75%

\$ 35 – 81%

\$ 40 – 85%

\$ 45 – 88%

\$ 50 – 90%

This is calculated by an Arctan decreasing marginal yield function whose second derivative is 0 at \$ 50.

How can I write an equation that shows how an actor chooses, how many units to build and how much money to put in each unit?

## bash – Multi-level Docker creation, ImageMagick stops working when the image is moved

I'm trying to compile ImageMagick into a `gcc` Image, then move the compiled result to a `bash` Image. That way, I can make a custom configuration for ImageMagick while keeping the image for GitLab CI pretty small.

``````FROM gcc: 9.1.0 AS Builder
tar xvzf ImageMagick.tar.gz &&
cd ImageMagick-7.0.8-49 &&
./configure
--prefix = / home / imagemagick /
--disable-hdri
--with-quantum depth = 8
--disabled-installed &&
do                                                     &&
make install

FROM bash: 5.0.7
RUN adduser -u 1001 -Sh / home / imagemagick imagemagick &&
apk add --no-cache --update ttf-dejavu = 2.37-r1 zip = 3.0-r7
USER imagemagick
WORKDIR / home / imagemagick
COPY --from = builder / home / imagemagick / / home / imagemagick /
``````

When ImageMagick is compiled and installed in GCC, it works fine. If ImageMagick is then moved to the bash image, it will not work anymore.

``````bash-5.0 \$ ./bin/magick
bash: ./bin/magick: No such file or directory
``````

Unfortunately, I fight for why and in the ImageMagick forum they say `--Prefix` and `--deaktiviert-installed` is configured, the application should work as long as this folder is in contact. (In the GCC image I can also move / rename this folder and it will continue to work, although I have to do that `ldconfig {\$ new-path} / lib` otherwise it will throw a mistake.)

My forum post on ImageMagick, which may come in handy:
https://imagemagick.org/discourse-server/viewtopic.php?f=1&t=36231

Does anyone have any idea what I could do wrong here?

## structure

I have a structure like this:

• Level 1 elements represented by a capital letter (A, B, C, D, …)
• Level 2 elements represented by lowercase letters (a, b, c, d, …)
• Level 3 items represented by numbers (1, 2, 3, 4, …)

These items are grouped in "combinations" consisting of:
`(Level 1 Object, Level 2 Object, Level 3 Object)` always in this order.
e.g. `(A, c, 5)`

Suppose Level 1 items are only 4: `A B C D`
Level 2 items are the first 10 letters: `a, b, c, d, e, f, g, h, i, j`
Level 3 items are represented by natural numbers up to 30

Not all possible combinations are valid! The matching combinations are summarized in a list:

``````(A, f, 3)
(A, f, 8)
(A, f, 10)
(A, J, 23)
(B, h, 1)
(D, D, 30)
(D, g, 18)
``````

The combination list does it Not allow duplicates, so every combination is unique,

## To process

• Randomly select 1 level 1 item from all possible `(A B C D)`
e.g. random selection gives: `ON`
• Get all the combinations that have `ON` as lvl 1 article:
``````(A, a, 12)
(A, f, 3)
(A, f, 8)
(A, f, 10)
(A, J, 23)
``````
• From level 1, 2 items remain in these 5 combinations `(a, f, j)`an article is randomly selected. Say we have selection there `f`,
Retrieve all combinations that have `f` as lvl 2 article:
``````(A, f, 3)
(A, f, 8)
(A, f, 10)
``````
• From level 1, 3 items remained in these 3 combinations `(3, 8, 10)`an article is randomly selected. We say `8th`,
Identify the unique combination:
``````(A, f, 8)
``````

In addition, this process is repeated to select a second random combination. In this case, however, there is another limitation. The new combination can not contain the same Level 1 item. So it has the following form:
`(Everything except A, Level 2, Level 3)` or
`(not A, Level 2, Level 3)`

All these operations are performed to forward the combination as input to another application.

1. In your opinion, what could be the most efficient way to implement such a process?
2. Is it worth it to use a relational database? (I expect very complex query)
3. Is it better to do this type of operation with a programming language?
e.g. pandas dataframe in Python)

PS: I'm not sure if this question belongs in this area. Please give me feedback.

## Progress bar in the multilevel webform supports linking to the next pages via the progress bar Drupal8?

I'd like to create a clickable progress bar for the next steps in a multilevel web form in Drupal 8.

Does anyone help me how to do that?

## I should show multilevel breadcrumbs, but I do not

I have the Yoast SEO plugin and try to use multilevel breadcrumbs. It does not work yet.

Https://cjshayward.com/doxology/ posted a break by courtesy of Yoast. The category "Poetry and Hymns" is a sub category of the category "Orthodox theology", a subordinate category of the "top level library". ,

My indicated bread crumb is, however, "C.J.S. Hayward" Doxology ".

What should I do differently?

## Probability – multi-level random variable

First we try out of a probability space $$Omega$$ and watch the value of $$X$$, then we try $$Y$$ from a probability space $$Omega_X$$,

What is in terms of dimensional theory $$Y$$?

To let $$X: Omega to I$$ be a random variable. For every value $$x$$ from $$X$$is there a random variable $$Y_x: Omega_x to mathbb {R}$$, $$Y$$ is the value of $$Y_x$$,

In my opinion $$Y$$ is a random variable, so a measurable function $$Y: S to mathbb {R}$$ from a probability space $$S$$, But what is $$S$$?

One of the possibilities of $$S$$ is the set $$Omega times bigcup_ {x in I} Omega_x$$ but is this a probability space?

## My mind about the multi-level 3D rasterization in Unity

I'm trying to find a way to search on multiple levels. See image:

View post on imgur.com

The orange walls would be considered as a ladder connecting you to the upper levels.

At first, I thought of looking at it as if it were 2d from top to bottom, but I also need to be able to go under it sometime. Does anyone have suggestions on where to start? If there is an asset that can do it right away?

Any advice would be welcome ðŸ™‚

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## Microsoft Word – Multilevel Lists – differently formatted numbers for the same layer

Sorry if this is a question that is asked every third day.

I work in Word 2016 and have a technical document with the following sections:

``````1st headline
1.1 paragraph
on) ...
I. ...
ii. ...
``````

And others go:

``````2nd headline