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Rock Paper Scissors Diplomacy

PostPosted: 03 May 2011, 23:06
by TheBladeRoden
This is based off of regular Diplomacy except that units get an additional RPS alignment. This alters their strength value depending on what other unit they are fighting.

A unit has 1 strength when fighting an equal or weaker unit
A unit has 0 strength when fighting a stronger unit.


1 vs. 1
Given that Rock>Scissors>Paper>Rock (no lame rocks ripping through paper)

A Rock Army will dislodge a Scissors Army (1 against 0)
A Rock Army will bounce against a Rock Army (1 against 1)
A Rock Army will fail against and also be unable break support of a Paper Army (0 against 1)

Things get a little more complicated when units with supports from other units with varying alignments start fighting

1+ vs. 1
Image
In this example Austria's Scissor Army Vie and Rock Army Bud are fighting Russia's Rock Army War to get into Gal. Normally Scissors would fail against Rock and Russia would move to Gal. However Rock Army Bud is adding its strength to Scissors, and so the two forces will bounce 1 to 1. If it were a Paper in Bud instead, then Austria's Scissors would succeed.

If even more units are involved in a battle, then some more math and graphs will have to be involved.


1+ vs. 1+
Image

Germany has brought in his own Rock Army to help out Austria. However, Russia has moved in a Paper Army to help herself. Who will win?
For this this we will have to calculate minibattles between every individual opposing unit. Use the rules above to determine who gets strength added to their side in each minibattle.

Image
Germany's Rock Army gets 1 strength for fighting against Russia's Rock Army. It gets 0 strength when fighting her Paper Army.
Austria's Scissors get 0 strength for fighting Russia's Rock, and 1 strength for fighting paper.
Russia's Paper gets a strength for each battle against rock, and 0 strength for fighting scissors. etc.

Do this until all battles are filled in. Then add all strength for each Force to get the Gross Strength. We aren't done yet though.

Since units on Force A have to fight 2 minibattles each, their efforts are divided, and so their Gross Strength of 3 is divided by 2 to get the Final Strength of 1.5. Likewise, units on Force B have to fight 3 minibattles each, so their Effort Divider is 3. Without this divider, 1 Scissor could hold off 5 Scissors all year long.

In the end Russia's forces are victorious, having 1.66666 repeating strength against Germany and Austria's 1.5!

This method can also be used 1+ vs. 1
Things get even more complicated when 3 or more forces are fighting each other, though not by much

1+ vs. 1+ vs. 1+
Image

For this you will have to calculate each battle beween any two forces involved. For this scenario:
England beats Germany 1.5 to 1
England beats France 1 to 0.5
Germany beats France 2 to 0.5

Since England won all of its battles, England takes Bel.

However, let's imagine if France had a Paper Fleet instead of a Scissors Fleet, then:
England beats Germany 1.5 to 1
England ties France 1 to 1
Germany beats France 1 to 0.5

England and France bounce, and Germany fails against England. Then no one gets Bel.

Variations

RTS Style
Units are built with a particular alignment, and will stay that way by default. However, a player can use one of their builds to change the alignment on an existing unit instead of the normal use.

To make it more realistic, GM's can use other names for alignments instead of Rock>Paper>Scissors>Rock, such as
Armored>Machine Gun>Missile>Armored
Cavalry>Archer>Spear>Cavalry
Chattur'gha>Xel'lotath>Ulyaoth>Chattur'gha

Ro-Sham-Bo Style
You assign alignments to all of your units along with your move orders. Should you throw paper with your unit this turn? Do you think your opponent will throw rock with his? This makes it more like the handheld game.

RTS Stealth Style
Unit alignments are known only to the unit owners and GM. You will have to guess based on battle results what alignments the other players' units might have. It will be still announced if a particular unit changes alignment, just not what it becomes. I dunno if there's a variation that does this for Army vs Fleets too. But it would be interesting to keep a unit disguised by moving it only along coastlines.

Anyway, that's it for my idea. Doing all the math may be a little tedious. So I made a Excel sheet that does all the calculating for you. If you are interested I can upload it here.

Re: Rock Paper Scissors Diplomacy

PostPosted: 04 May 2011, 00:34
by tarheel86
I'd like to play, if you get a game going.

Re: Rock Paper Scissors Diplomacy

PostPosted: 01 Jun 2011, 02:33
by diplomat42
Sounds cool but complex!