Chips

Let My people go, that they may serve Me.
Bible

The American electoral system has always favored, in fact, made necessary the formation of special pressure groups operating within the framework of the two-party system.
Gilbert Green

States organized for war will make war as surely as hens will lay eggs.
H. G. Wells

Chips (布冧)

Kosintsev I.G.
kosintsev.i.g@gmail.com
(01.07.2016)



Chips (checkers) are arranged in order of increasing the rank:
1. stones (s class)
1.1. s1 - white chip (日) - 1 unit
1.2. s2 - gray chip (天) - 2 units
2. pieces (p class)
2.1. p1 - yellow chip (光) - 3 units
2.2. p2 - green chip (木) - 4 units
2.3. p3 - red chip (火) - 5 units
2.4. p4 - blue chip (水) - 6 units
3. kings (k class)
3.1. k - black chip (土) - 100 units.
The unit (chipcoin) is a fully convertible cryptocurrency. One unit (元) is approximately equal to one US dollar ($).

The game Chips has such rules for movement of pieces.
1. Any group (s) with s1 chip can move ahead by O(1) mode.
The group (s) with s1 chip that reaches the last row promotes for s11 group.
2. Any group (s) with s2 chip can move ahead without the capture by O(1) mode or with the capture by D(1) mode..
The group (s) with s2 chip that reaches the last row promotes for s22 group.
3. Any group (p) with single p1 chip can move by D(1) mode.
4. Any group (p) with double p1 chip can move by JD(2) mode.
5. Any group (p) with single p2 chip can move by O(1) mode.
6. Any group (p) with double p2 chip can move by JO(2) mode.
7. Any group (p) with single p3 chip can move by D(1) or D(2) mode, with double p3 chips - by D mode.
If also with double p1 checkers then can move by JD mode.
8. Any group (p) with p1 and p3 chips can move by N(2) mode.
9. Any group (p) with single p4 chip can move by O(1) or O(2) mode, with double p4 chips - by O mode.
If also with double p2 chips then can move by JO mode.
10. Any group (p) with p2 and p4 chips can move by N(1) mode.
11. The king (k) moves by D(1) or O(1) mode. By own move the player can set one king on any free square of the board. The player can catch opponent pieces only when his king is present at the board.

The free universal ranking (rating) system (段)
Beginner: without a Bet;
Pioneer (Class 1): Bet 1 unit;
Pioneer (Class 2): Bet 3 units;
Pioneer (Class 3): Bet 10 units;
Player (Class 4): Bet 30 units;
Player (Class 5): Bet 100 units;
Player (Class 6): Bet 300 units;
Player (Class 7): Bet 1000 units;
White Master (Class 8) (初段者): Bet 3000 units;
Gray Master (Class 9) (先輩): Bet 10000 units;
Yellow Master (Class 10) (先生): Bet 30000 units;
Green Master (Expert) (師範): Bet 100000 units;
Red Master (Master) (範士): Bet 300000 units;
Blue Master (Senior Master) (名人): Bet 1000000 units and above;
Black Master or Champion (冠軍): Bet - Round diamond 8 carat.

Internet resources:
1. Neumann John von, Morgenstern Oskar
Theory of Games and Economic Behavior.
Princeton, NJ, Princeton University Press.
1944, second ed. 1947, third ed. 1953.
2. Anand P.
Foundations of Rational Choice Under Risk.
Oxford: Oxford University Press.
1993.
3. Chess.
http://en.wikipedia.org/wiki/Chess
4. About Lasca.
http://www.lasca.org
5. В. Ивановский, О. Свирин
Русские шахматы: Таврели.
Москва, "Русский путь", 2002 (104 с.)
http://tavreli.narod.ru/books.html
6. Shogi.
http://en.wikipedia.org/wiki/Shogi
7. Xiangqi.
https://en.wikipedia.org/wiki/Xiangqi
8. Fairy chess piece.
http://en.wikipedia.org/wiki/Fairy_chess_piece
9. Cheskers.
http://en.wikipedia.org/wiki/Cheskers
10. English draughts.
https://en.wikipedia.org/wiki/English_draughts
11. Turkish draughts
https://en.wikipedia.org/wiki/Turkish_draughts
12. Halma by Bruce Whitehill
http://thebiggamehunter.com/games-one-by-one/halma/
http://www.mastersgames.com/rules/halma-rules.htm
13. Mancala
https://en.wikipedia.org/wiki/Mancala
14. Tables (board game)
https://en.wikipedia.org/wiki/Tables_(board_game)
15. Poker Chips.
http://www.homepokergames.com/poker-chips.php
http://boardgames.about.com/od/poker/a/chip_denoms.htm
16. Nonary.
http://en.wikipedia.org/wiki/Nonary
17. Richard P. Stanley
Enumerative Combinatorics.
books.google.com/books?isbn=1107015421
18. Cryptocurrency
https://en.wikipedia.org/wiki/Cryptocurrency
19. Multi-level marketing
https://en.wikipedia.org/wiki/Multi-level_marketing
20. PriceScope
http://www.pricescope.com
21. Charles Dickens
The Posthumous Papers of the Pickwick Club.
1836.
22. Robert Louis Stevenson
New Arabian Nights.
1882.
23. Rudyard Kipling
All the Mowgli Stories.
1936.


Appendix A. Variants of Chips

Variant 1. Go (圍棋) (Japanese: 囲碁).

Variant 2. English draughts (Checkers).

Variant 3. Turkish draughts (Dama).

Variant 4. Classical chess (Rio style).

Variant 5. Halma (ECKHA).

Variant 6. Bermuda (Combichess).

Variant 7. Octopus (Luna Park).

Variant 8. Highjump.

Variant 9. Monte Carlo (Darwin's chess).