Description of the program Economics200.exe



Screen1:
Possibility to change parameters of the required lognormal distribution and the length of the interval [0,KK] to which it will be restricted and renormalized. Click "Redraw" for the changes to take effect.
Possibility to load input data from a previously saved file. Click "Redraw" to see the graph.
Click "Continue" to go to the next screen.

Screen 2a:
If s<= 13 then this screen will show:



To change s to  larger than 13 and continue click  command  "Larger s...."
Possibilities:
Change s to any value between 1 and 13;
Change any value of  parameters c and d , their role and restrictions on them are given in yellow windows;
One can also change all c values or all d values using windows at the bottom.
Any incorrect input will not be accepted, a warning will show in the largest white window.
Change value of alpha coefficient (if the alpha or probability "up" was changed graphically before, the use of this option will erase these functions).
To go to the next screen click "Done".

Screen 2b:
If s > 13 then this screen will show:



Possibilities:
To change s to any value between 1 and 50. Click "Change s" for the change to take effect.
To graphically set the values of the parameters c and d . Their role and the restriction on them are given in yellow windows. Incorrect input will not be accepted. A warning will show in the white window at the bottom.
The top blue window is used to choose c parameters: The vertical scale is from 0 to 1 and is UNEVEN. The bottom half corresponds to values between 0 and 0.1.
The lower blue window is used to choose parameters d. Values of graphically chosen parameters c or d show in small white windows on the right.

Change value of alpha coefficient (if the alpha or probability "up" was changed graphically before, the use of this option will erase these functions).
To go to the next screen click "Done".



Screen 3:
Can be used to view graphs of the "up" and "down" functions used in the modelling. Choose "Both", "Up" or "Down" and click "Draw..." to view graphs. The interval for graphing can be change using  "min x" and "max x" windows or graphically by pointing the min x on the picture and clicking left mouse button  and then pointing max x on the picture and clicking the right mouse button. To return to original drawing interval click "Go back..."

Clicking on "Draw "up"..." opens other graphing and design windows.

Click on "Continue" to get to the final screen of the program.

Other graphing and design screens:



This screen lets to graph (click "Draw") the probability of choosing "up" function - yellow line in the picture. The two red lines show maximal and minimal valus for this probability possible in the model (they are determined by c and d parameters).
Possibilities: To design graphically the "probability up" function click "Input...". Then the explanation window



shows up. After completion of the design click "Calculate ..." button. Otherwise the work will be lost.
Clicking "Change alpha to " erases the "probability up " function and replaces it by the standard one using parameter alpha. One can click "Draw" at any moment to see the current "probability up" function.

Another possibility is to design "probability up" function not directly but by designing the "alpha" function. This is the recommended method. Click "alpha funct. ..." . Then the next  window shows up:



Click "Input "alpha"...", the explanation screens shows up:



After completing the design click "Calculate...". Otherwise the work will be lost.
Clicking "Change alpha to " erases the "probability up " function and replaces it by the standard one using parameter alpha.
 "Draw" will cause the current "probability up" function to be drawn on the previous screen.

Final Screen:



"Draw" will produce a graph of  "Number of iterations" iterations starting from "Initial value". One can choose plots in one color or many colors. "Continue drawing" shows the next "Number of iterations" iterations starting from the last value in the previous graph.
One can save input data and arbitrary number of iterations of the process to a text  file. The file is saved as follows : first input data (parameters of the required distribution , c's, d's, "alpha" function), then input data again with comments, then the iterations of the process. The file can be edited by hand although the modification of the input data is not recommended.
"Start ..." button send the user back to the first screen of the program.
"Empirical... " button shows


Yellow is the histogram of the 300000 iterations of the process. Blue is the graph of the required theoretical density.
Click "Draw" to see the graphs.