Constrained cost-coupled stochastic games with independent state processes

Altman, 1999 E. Altman, K. Avrachenkov, R. Marquez, G. Miller, Zero-sum constrained stochastic games with independent state processes, Math. Methods Oper. Res. (2005). Altman, 2007, Discrete power control: cooperative and non-cooperative optimization Altman, 1993, Stability and singular perturbations in constrained Markov decision problems, IEEE Trans. Autom. Control, 38, 971, 10.1109/9.222313 Altman, 1991, Sensitivity of constrained Markov decision problems, Ann. Oper. Res., 32, 1, 10.1007/BF02204825 Altman, 1991, Markov decision problems and state-action frequencies, SIAM J. Control Optim., 29, 786, 10.1137/0329043 Altman, 2000, vol. 5, 303 Altman, 1995, The linear program approach in Markov decision problems revisited, ZOR-Methods Models Oper. Res., 42, 169, 10.1007/BF01415752 Arrow, 1954, Existence of an equilibrium for a competitive economy, Econometrica, 22, 265, 10.2307/1907353 Aumann, 1995 Dantzig, 1967, On the continuity of the minimum set of a continuous function, J. Math. Anal. Appl., 17, 519, 10.1016/0022-247X(67)90139-4 Debreau, 1952, A social equilibrium existence theorem, Proc. Natl. Acad. Sci. USA, 38, 886, 10.1073/pnas.38.10.886 Filar, 1996 Gómez-Ramírez, 2003, Saddle-point calculation for constrained finite Markov chains, J. Econ. Dyn. Control, 27, 1833, 10.1016/S0165-1889(02)00085-4 Hordijk, 1981, Linear Programming and Markov Games I, 291 Hordijk, 1981, Linear Programming and Markov Games II, 307 Hordijk, 1984, Constrained undiscounted stochastic dynamic programming, Math. Oper. Res., 9, 10.1287/moor.9.2.276 M. Huang, R. P. Malhamé, P.E. Caines, On a class of large-scale cost-coupled Markov games with applications to decentralized power control, IEEE CDC, Atlantis, Paradise Island, Bahama, December 2004. M. Huang, R. P. Malhamé, P.E. Caines, Nash strategies and adaptation for decentralized games involving weakly coupled agents, IEEE CDC, December 2005. Kallenberg, 1994, Survey of linear programming for standard and nonstandard Markovian control problems, Part I: Theory, ZOR—Methods Models Oper. Res., 40, 1, 10.1007/BF01414028 Mertens, 1981, Stochastic games, Int. J. Game Theory, 10, 53, 10.1007/BF01769259 Rosen, 1965, Existence and Uniqueness of Equilibrium Points for Concave N-Person Games, Econometrica, 33, 153, 10.2307/1911749 Rosenberg, 2003, Stochastic games with imperfect monitoring Shimkin, 1994, Stochastic games with average cost constraints Simon, 2002, Equilibrium existence and topology in some repeated games with incomplete information, Trans. Am. Math. Soc., 354, 5005, 10.1090/S0002-9947-02-03098-2 Vrieze, 1981, Linear programming and undiscounted stochastic games in which one player controls transitions, OR Spektrum, 3, 29, 10.1007/BF01721195