Rational Behavior in Dynamic Multicriteria Games

We consider a dynamic, discrete-time, game model where n players use a common resource and have different criteria to optimize. To construct a multicriteria Nash equilibrium the bargaining solution is adopted. To design a multicriteria cooperative equilibrium, a modified bargaining scheme that guarantees the fulfillment of rationality conditions is applied. The concept of dynamic stability is adopted for dynamic multicriteria games. To stabilize the multicriteria cooperative solution a time-consistent payoff distribution procedure is constructed. The conditions for rational behavior, namely irrational-behavior-proofness condition and each step rational behavior condition are defined for dynamic multicriteria games. To illustrate the presented approaches, a dynamic bi-criteria bioresource management problem with many players is investigated.

Dynamic multicriteria games' solutions: classical and untraditional approaches

In this paper the approaches to obtain an optimal behavior in dynamic multicriteria games are constructed. Classical scheme with weighted sum of the criteria and new conceptions of optimal solutions' construction are presented. Dynamic multicriteria bioresorce management problem is considered. Parameters of the model where the equilibria obtained applying traditional or dynamic approaches coincide are obtained.

COALITION FORMATION IN DYNAMIC MULTICRITERIA GAMES

In this paper new approaches to obtain optimal behavior in dynamic multicriteria games are constructed. The multicriteria Nash equilibrium is obtained via the Nash bargaining design (Nash products), and the cooperative equilibrium is determined by the Nash bargaining procedure for the entire planning horizon. Coalition formation process in dynamic multicriteria games is investegated. To construct the characteristic function the Nash bargaining scheme is applied where the multicriteria Nash equilibrium plays the role of the status-quo points. Two variants of characteristic function's determination that take into account information structure of the game are presented (models without information and with informed players). Dynamic multicriteria bioresorce management problem is considered. The players' strategies and the size of the resource are compared under cooperative and noncooperative behavior and for different variants of characteristic function determination.