Table 1 Correspondence table between the model, the urn metaphor and the Chinese restaurant metaphor.
Urn metaphor | Chinese restaurant metaphor | |
|---|---|---|
Agents | Urns | Categories |
Agent’s action | Extracted ball | Customer entering the restaurant |
Item adopted | Color of the extracted ball | Table chosen by the customer |
Production (or exploration) of a novelty | Extraction of a color never extracted before from any urn of the system | Occupation of an empy table |
Exploitation of an old item | Extraction of a color already extracted before from some urn in the system | Choice of an already occupied table |
\(D^*_{t,h}=\) number, until time-step t, of distinct novelties for the whole system produced by agent h | Number, until time-step t, of distinct colors observed in the whole system and extracted for their first time from urn h | number, until time-step t, of distinct tables occupied for their first time by a customer belonging to category h |
\(D_{t,h}=\) number, until time-step t, of distinct items adopted by agent h | Number, until time-step t, of distinct colors extracted from urn h | Number, until time-step t, of distinct tables occupied by at least one customer belonging to category h |
\(K_t(h,c)=\) number, until time-step t, of times agent h has adopted item c | Number, until time-step t, of times color c has been extracted from urn h | Number, until time-step t, of customers belonging to category h and sitting at table c |
