The paper says
The model consists of N agents, each with capital ci with i = 1, . . . , N. Agents are allowed to trade among themselves M objects. Each object m = 1, . . . , M has a price πm.
Starting from a feasible allocation matrix A, we introduce a random trading dynamics in which a good m is firstly picked up uniformly at random among all goods. Its owner then attempts to sell it to another agent i picked up uniformly at random among the other agents. If agent i has enough cash to buy the product m, that is if `i > πm, the transaction is successful and his/her cash decreases by πm while the cash of the seller increases by πm.
In other words:
1. Prices cannot vary. The price a good is set in stone.
2. Agents do not purchase things they want. They "pick up" goods and immediately try to sell them.
3. They sell them at these pre-determined prices to other people, whether the other people want them or not. Well, there's no such thing as "want" in this model.
4. Nor is there any planning by agents. No ability for them to say "Crap, I only have $5 left. Better not spend it on this vase this guy is selling."
Original discussion source:
http://www.econjobrumors.com/topic/physicists-model-economic...