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Here is the first part of the Civil War rules. It's about claiming the throne. There is also PvP battle part added.

Spoiler Alert, click show to read: 
5. Civil War (OOC)

5.1 Claiming the Throne

Any family member can claim the throne in a public IC thread and this will be considered a declaration of war against the Basileus.
Due to the limitations of RTW engine Players who are not family members cannot claim the throne.
All players must then pick a side or declare neutrality. Neutrality cannot be claimed by a Basileus, a declarer or anyone who has been involved in a PvP Battle during that specific Civil War.
The Civil War will end when either the declarer or the Basileus dies in a battle or is forced to surrender.
If the Basileus dies then the declarer will become the new Basileus.
All Players who supported the Basileus can choose to either support the new Basileus or continue the Civil War as a Private War.
The old Basileus will also be killed when he decided to surrender.
During the Civil War the Kingdom will receive -20% Income penalty.

5.1.1 War on the Campaign Map

While a Civil War is in progress, all players involved in the Civil War will lose their ability to make any moves on the campaign map.
On every game turn, all players involved in the Civil War will submit a PM to Ibn-Khaldun giving movement orders for that turn.
These movement orders can include up to a maximum of two of the following orders:

a) Gather/Recruit: The declarer can recruit any unit available in the province(both mercenaries and units recruitable from the settlement) using his private funds. All units recruited in this manner will be added into the avatar's army.
The Basileus may gather units that are located in the same province as his avatar, but which are not currently located in his avatar's army. The Basileus may also recruit any unit available in the province using his private funds or State Treasury. All units specified in this manner will be teleported into the avatar's army.

b) Move: The player may move his avatar's army into any adjacent province. If a player desires to cross a body of water, Ibn-Khaldun will determine how many Move orders are required to cross it, and whether the player can end a turn at sea.

c) Defend: The player fortifies his army in a specific province, providing a terrain/fort advantage if a battle occurs in that province before the player moves again.

After the turn ends, Ibn-Khaldun will implement all moves for players involved in the Civil War, utilizing the console.
The orders will be executed simultaneously for all players, but in the sequence they were listed in the PMs (i.e. Order 1 will be implement for all players, followed by Order 2 for all players).
If this movement results in a player entering a province with a hostile AI-controlled army, Ibn-Khaldun will determine whether a battle against the AI will occur.
Movement will continue in this manner until two hostile player-controlled armies enter the same province.
When this occurs, a PvP Battle will begin.
All PvP Battles will be considered Meeting Engagements, in which neither side has a terrain advantage, unless one of the armies was Defending the province where the battle occurred.
If this happens, the defending army will get a terrain advantage such as a high mountain, fort, or bridge is given to the Defender. The Umpire of the battle will determine the precise nature of the terrain advantage.

5.4 PvP Battles

Whenever a PvP Battle occurs, if both players agree, the battle will be fought via multiplayer, with Ibn-Khaldun or anyone he chooses acting as umpire.
The umpire will determine the map and the precise composition of the armies.
Hamachi network will be used for multiplayer battles.
If the battle is not fought via multiplayer, there will be a 24 hour voting period to determine how the battle will be fought.
The voting options will be (a) Tabletop Battle or (b) Abbreviated Tabletop Battle.
All players may vote, even those not involved in the battle, all votes will be unweighted, and the option that receives the most votes will be chosen.
Tabletop Battles will be in the style of the previous tabletop battles fought in the Throne Room and will be umpired by Ibn-Khaldun or anyone he chooses.
Abbreviated Tabletop Battles will be identical to a Tabletop Battle, but will be 1 turn in length.
Players will determine their starting positions and outline a general strategy for the battle.
The umpire will then play out the battle and determine the victor.
The umpire may allow a maximum of 1 or 2 additional turns beyond the starting turn if they so choose.
Regardless of the type of battle chosen, the umpire must attempts to have the battle replicate the in-game state of affairs to the best of his ability.
Regardless of the type of battle chosen, the umpire will determine the results, including, but not limited to, units to be disbanded as casualties, avatars to be killed off as casualties, and changes in the control of provinces.
Console commands may be used to implement the results.