A sequential model for reasoning about bargaining in logic programs

This paper presents a sequential model of bargaining based on abductive reasoning in ASP. We assume that each agent is represented by a logic program that encodes the background knowledge of the agent. Each agent has a set of goals to achieve but these goals are normally unachievable without an agreement from the other agent. We design an alternating-offers procedure that shows how an agreement between two agents can be reached through a reasoning process based on answer set programming and abduction. We prove that the procedure converges to a Nash equilibrium if each player makes rational offer/counter-offer at each round.