Definitions
Rhyme
Rhyme (also romanized as Lime in official media[1]) is an immensely popular computer game among young adults. Anyone can participate if they own an Allmate. When competing anyone can use their mind to alter the visual battlefield. In the virtual field, one can enjoy the taste of things they could never have experienced otherwise.
-------------------------
A sparring game in which you are physically fighting someone with your own body, in a virtually made arena.
Rhyme battles actually happen inside the mind of those playing, and a visual image is transmitted to those watching. Thus why real physical damage can not be taken, unless the game is hacked or altered in some way.
Allmate
AllMates (オールメイト Ōrumeito) are artificially made beings equipped with artificial intelligence. They are generally used as a support for a network tool. Each one has their own personality so they can dislike some other AllMates. AllMates are able to search the internet and virtual space for information. They are also used to shop online. There are a variety of models, and can be operated by speech, so many users have them as adorable pets. AllMates can also be used as a fighting partner in the computer game "Rhyme".
---------------------------------------------
Allmates usually come in the shape of Animals. They have online forms and physical forms. Online forms will only be seen playing rhyme or while an Allmate is connected to a computer.
More info
Ribstiez
Ribstiez teams are groups of 'Ribsters' who work under one leader in games of turf wars against other Ribster teams. Basically, thy are street gangs.

A Rhyme battle occurs simultaneously when Usui, the judge of the winner, appears. Since Usui's appearance is random, dopesters exist to predict where she'll appear next and sell the information at a high price. Rhyme normally has limitations to guarantee the safety of players. During a Rhyme battle, players strive to deplete the enemy's durability. Once a player's durability hits 0, the game immediately ends. Allmates of different kinds take up 'Avatar form' whenever they are in a Rhyme battle. The battle is done by commanding the Allmate to attack or defend, depending on the situation. Players take considerable damage when attacked, however, the sensation is limited mentally.
A forced Rhyme battle called a Drive-by, is done without the presence of Usui. Anybody can do a Drive-by if they have proper knowledge. A Drive-by battle does not have any sort of limitations. This allows players to move and execute actions more efficiently than in a regular Rhyme battle. Consequently, the damage players take can affect the human body in reality.
People who participate Rhyme are generally called Rhymers. Like Ribsteez, people who participate in Rib, Rhymers have begun forming teams since Rhyme's rise to popularity.