The cooperative analysis of oligopoly TU markets with infinitely many firms

Our paper develops the work of cooperative oligopoly TU markets. Inspired by Zhao (Int J Game Theory 28(1):25–34, 1999) and Zhao (Games Econ Behav 27(1):153–168, 1999), our paper investigates the TU stable profit allocations of cooperative oligopoly TU markets with countably many firms. We first show that the set of \(\alpha -\) $\alpha -$ TU stable profit allocations coincides with the set of \(\beta -\) $\beta -$ TU stable profit allocations. Furthermore, under some regular conditions, we shall prove the existence theorem of \(\alpha -\) $\alpha -$ TU stable profit allocations for oligopoly TU markets with countably many firms.