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$$S$$-modular games, with queueing applications. (English) Zbl 0858.90142
Summary: The notion of $$S$$-modularity was developed by P. Glasserman and the author [Math. Oper. Res. 19, No. 2, 449-476 (1994; Zbl 0801.60077)] in the context of optimal control of queueing networks. $$S-$$modularity allows the objective function to be supermodular in some variables and submodular in others. It models both compatible and conflicting incentives, and hence conveniently accommodates a wide variety of applications.
In this paper, we introduce $$S$$-modularity into the context of $$n$$-player noncooperative games. This generalizes the well-known supermodular games of D. M. Topkis [SIAM J. Control Optimization 17, 773-787 (1979; Zbl 0433.90091)], where each player maximizes a supermodular payoff function (or equivalently, minimizes a submodular payoff function). We illustrate the theory through a variety of applications in queueing systems.

##### MSC:
 91A10 Noncooperative games 90B22 Queues and service in operations research
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##### References:
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