On availability of Pareto effective equilibrium situations in collective behavior models with data exchange

Use of network technologies impels investigations of collective behavior models. Processes of decision making based on data exchange are of utmost interest. For this purpose, strategy axiomatization is proposed. Information exchange diminishes uncertainty in the processes and models collective efforts to achieve rational decisions. Rational behavior uses the principles of effectiveness and stability usually contradicting one another. Rational game solutions' structure is studied. It is discovered that data exchange allows achieving Pareto effective situation which is also the equilibrium one. A notion of coalitional stable game issue is introduced. The situation prevents from forming coalitions and can simultaneously satisfy the property of Pareto effectiveness. It can also give Nash equilibrium if adequate players' strategies are used. An expansion of initial game by means of additional controlling player shows how the effective coalitional stable issue can be achieved.