Convergence analysis for symmetric arbitration games FOA and DOA (Q2767735)

The authors investigate Final-Offer Arbitration (FOA) and Double-Offer Arbitration (DOA) games. They consider the subclass of symmetric arbitration games which consists in the assumption that each player has the same symmetric probability distribution of the value of a fair settlement. The usual existence theorems for Nash equilibria cannot be applied here because continuity and convexity may not be assumed in these games. The main result in the article is the extension of the existence theorems for these types of games. Also solved is the problem of convergence of the offers in this context.