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Recently Liu and Simaan (2004) convex static multi-team classical games have been introduced. Here they are generalized to both nonconvex, dynamic and quantum games. Puu's incomplete information dynamical systems are modified and applied to Cournot team game. The replicator dynamics of the quantum prisoner's dilemma game is also studied.KEY WORDS: nonconvex team game; team Cournot; Puu's incomplete information dynamical system; quantum team game; the replicator dynamics of the quantum prisoner's dilemma game. QUANTUM GAMESQuantum (Orlin Grabbe, 2005) is a generalization of classical games where quantum mechanics techniques are used. It has two main advantages to classical game: The first is the superposition between possible strategies. Thus in the prisoner's dilemma PD case where the classical strategies are cooperate (C) or defect (D) the quantum PD (QPD) admits a strategy of the form aC + bD where a, b are complex constants. The second advantage of quantum games over classical ones is entanglement which can be understood as a kind of communications between the players thus changing the game from noncooperative into cooperative. Mathematically this means that the initial state of the classical PD game can be {CC, CD, DC, DD} i.e., the both players cooperate, or the first cooperate while the second defect or the first defect while the second cooperate or both players defect. In the quantum game the possible states are any linear combination between the above 4-states. Of particular importance are the entangled states which by definition cannot be written as tensor product of the corresponding Hilbert-space of strategies e.g., the state a|CC + b|CD can be factored in the form C ⊗ (a|C + b|D ) thus it is not entangled while the state a|CC + b|DD is entangled. These entangled states allow more degrees of freedom and allows one to solve some of the dilemmas faced in classical games (Orlin Grabbe, 2005). Since

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