As far as Integrated Cellular networks are concerned, a significant issue that service providers are faced with is with regard to bandwidth (Resource or Service) allocations for different service classes when it pertains to the balancing profit and service quality simultaneously. The challenge increases when there a dynamic competition emanates between the service provider and its users. This p...

game theory is an approach based on mathematics to study social interactions and modeling strategic situations. this theory focuses on decision situations where preferences of decision makers are disputed. existence of strategic position in city also with a conflict of interest or competition makes using game theory to describe the urban management issues, attractive. one of the important contr...

We study Nash equilibria for the deterministic ergodic N-players game. introduce pure strategies, mixed strategies and associated with those. show that a equilibrium in exists it is Mather measure Lagrangian system defined by cost functional. In conclusion, we mean field limit of game described PDE's continuum players.

Abstract This paper studies groundwater management through a leader–follower differential game between water agency and farmers. The access to the common pool is not free farmers have pay tax withdraw. To save this cost, we assume that may declare all pumped face risk of being sanctioned. agency, on other hand, knows unauthorized extraction occur chooses maximizes only legal social welfare. val...

In this paper we present an appropriate singular, zero-sum, linear-quadratic differential game. One of the main features game is that weight matrix minimizer’s control cost in functional singular. Due to singularity, cannot be solved either by applying Isaacs MinMax principle, or Bellman–Isaacs equation approach. As application, introduced interception with regularized and developed dual repres...