The paper aims at extending the classical Arbitrage Pricing Theory to a scenario where N agents engage in financial market investments and are permitted to collaborate through exchanges. Within this framework, we introduce the concepts of Collective Arbitrage and Collective Super-replication. Subsequently, we establish versions of the fundamental theorem of asset pricing and the pricing-hedging duality tailored to this cooperative setting. Illustrative examples demonstrate the advantages of our proposed approach. The novel notions of Collective Arbitrage and Collective Super-replication highlight the pivotal role of cooperation and the multidimensional aspect. Notably, when there is only a single agent involved, the theory reduces to the classical one.