By Nagel A., Stout E.L. (eds.)
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So, its OFFUr0 ðiÞ remains the same as in r. Moreover, its ONUr0 ðiÞ must be decreased by t. Summing up, in the resulting profile its new utility becomes: X OFFUr0 ði; Tk Þ Á jTk j Ur0 ðiÞ ¼ ONUr0 ði; Ti0 Þ Á jTi0 j þ X ¼ 1 Á ðjTi j À jtjÞ þ ¼ jTi j À jtj þ 0 X Tk 2TnTi0 wðk; iÞ Á jTk j þ 0 Á jtjÁ Tk 2TnTi ¼ Àjtj þ @jTi j þ wðk; iÞ Á jTk j Tk 2TnTi0 X 1 wðk; iÞ Á jTk jA Tk 2TnTi ¼ Àjtj þ Ur ðiÞ: Since t [ 0, it follows that Ur ðiÞ [ Ur0 ðiÞ, so that the player does not increase its utility by unilaterally increasing its OFF mode operation.
Thus, we obtain a characterization of the necessary and sufficient conditions for agreement settings between the APs to be sustained in Nash equilibria. , for mechanisms and schemes used for purposes of routing [25], congestion control [16], and resource sharing [20]. Coalitional game theory (or cooperative games) investigate the formation of cooperative groups, (coalitions) that allow the involving players to increase their gain by joining a coalition and receive (individually or by sharing between players of a common coalition) the benefits resulted by the cooperation.