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This paper investigates applicability of thermodynamic concepts and principles to competitive systems. We show that Tsallis entropies are suitable for characterisation of systems with transitive competition when mutations deviate from Gibbs mutations. Different types of equilibrium in competitive systems are considered and analysed. As competition rules become more and more intransitive, thermodynamic analogies are eroded and the behaviour of the system can become complex. This work analysesdoi:10.3390/e16010001 fatcat:dxcmngpeyrbgtjlgxm6qa3zmqe