Minimal Current Payments Algorithm for Sustainable Cooperation in Multicriteria Game

Abstract

AbstractTo ensure sustainable cooperation in a dynamic game, we adopt the so-called imputation distribution procedure (IDP) or payment schedule-based method. A novel IDP which satisfies time consistency, irrational-behavior-proof condition and the reward immediately after the move property is designed for extensive-form multicriteria game with perfect information. This payment schedule implies the minimal current positive payments to the players when the game unfolds along the cooperative history.