We study the influence of the Unruh effect on quantum Stackelberg duopoly. It is shown that the acceleration of a noninertial frame strongly affects the payoffs of the Arms. The validation of the subgame perfect Nash equilibrium is limited to a particular range of acceleration of the noninertial frame. The benefit of the initial state entanglement in the quantum form of the duopoly in the inertial frame is adversely affected by the acceleration. The duopoly can become a follower advantage only in a small region of the acceleration.
We study the effects of decoherence on the entanglement generated by the Unruh effect in noninertial frames by using phase flip, phase damping and depolarizing channels. It is shown that decoherence strongly influences the initial state entanglement. Entanglement sudden death can occur irrespective of the acceleration of the noninertial frame under the action of phase flip and phase damping channels. It is investigated that an early sudden death occurs for large acceleration under the depolarizing environment. Moreover, entanglement increases for a highly decohered phase flip channel.