Objectives: Constraint Satisfaction Problems: Modelling Your task in this exercise is to model the graphical game described below as a constraint satisfaction problem in such a way that any solution to the CSP must be a Nash Equilibrium of the graphical game. To describe your CSP model, please define the variables, explain their meaning and domain, and represent the constraint by a list of compatible value combinations or a list of no-goods. A Graphical Game on a Cycle is game, the underlying graph of players is a cycle. All players have the same action set A (0,1). The Utility/Payoff function of a player u is given by the following function U(ai , a2 , -a2-((al + a2 + a3) modulo 2) for any (a, a2, a3) e A3. Here al and a3 are possible actions of u's two neighbors, and a2 is t's. Objectives: Constraint Satisfaction Problems: Modelling Your task in this exercise is to model the graphical game described below as a constraint satisfaction problem in such a way that any solution to the CSP must be a Nash Equilibrium of the graphical game. To describe your CSP model, please define the variables, explain their meaning and domain, and represent the constraint by a list of compatible value combinations or a list of no-goods. A Graphical Game on a Cycle is game, the underlying graph of players is a cycle. All players have the same action set A (0,1). The Utility/Payoff function of a player u is given by the following function U(ai , a2 , -a2-((al + a2 + a3) modulo 2) for any (a, a2, a3) e A3. Here al and a3 are possible actions of u's two neighbors, and a2 is t's