We propose an elementary theory of wars fought by fully rational contenders that features three of the main rationalist explanations for armed conflicts: uncertainty, commitment, and indivisibility. Two parties play a Markov game that combines stages of bargaining, where offers are made, with...

Two deviations of alternating-offer bargaining behavior from economic theory are observed together, yet have been studied separately. Players who could secure themselves a large surplus share if bargainers were purely self-interested incompletely exploit their advantage. Delay in agreement...