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Standard financial mathematics considers games of one or small number of players against the chance (random market). Recently, a new approach (called multi-agent models) appeared which considers the games of many players against each other. Here some local models are considered where there are many players and many financial or trading instruments. The model resembles communication and transportation networks - the main difference is that the nodes have special dynamical values (moving boundaries, or real prices). The clients have also their own subjective prices and their interaction (transaction) with the nodes depend on these prices.