Noncooperative exchange using money and broker-dealers

This paper presents a model of exchange where a single commodity serves as a means of payment and trade must pass through designated brokers. Broker buy and sell prices, trader allocations, and broker profits depend on the buy and sell decisions of all the market participants, and the exchange problem is described as a noncooperative game. The existence of an equilibrium is established and bounds are placed on the price spread on each commodity. Finally, the properties of the noncooperative equilibria under replication are examined.