Prestige is a statistic that represents how well known and respected a character is by the general population of Arvum and by those in the city of Arx in particular. In terms of game mechanics, prestige factors into many interactions a character has offscreen with NPCs to show how seriously they take them, how much respect they pay them, and influences their reactions to the player character. Prestige is a total of three other scores, each combining to represent a character's overall prestige rating- legend, fame, and grandeur.
Fame will usually be the most common part of prestige, and is easily lost and gained. Positive fame is gained by actions in the public eye that reflects well on a character, such as using the @donate command for charitable giving, or another character with high social stats using the 'praise' command on a character, or partipating in other activities that underscore a character's wealth, power, or influence. Fame decays rapidly, losing about twenty percent each week on chron.
Legend is part of prestige that does not decay automatically, representing the story of a character that resonates and cannot be easily suppressed or lost. 1 percent of all gained fame becomes legend, and legend can be lost by negative acts in the eyes of the entire Compact, large scandals, and the like.
Grandeur is shared prestige, inherited from other characters, patrons, proteges, and organizations a character is a member of, by showing how the influence of others reflects on a character. A commoner that has the king as a patron, for example, has extremely large inherited prestige in the form of grandeur from that.
Generally speaking, prestige bonuses to resource gain is the cube root of prestige as a percentage. For organization income, it's about a quarter of that.