Stochastic games

With the assumption that the equilibrium is stationary, one could argue that stochastic games are no different from static games except for a small change... 

As has been noted in other reviews, Operations Management has been slow to adopt GT. But because SCM is an ideal candidate for GT applications, we have recently witnessed an explosion of GT papers in SCM. As our survey indicates, most of these papers utilize only a few GT concepts, in particular the concepts related to non-cooperative static games. Some attention has been given to stochastic games but several other important areas need additional work cooperative, repeated, differential, signaling, screening and Bayesian games. 

Shapley, L. 1953a. Stochastic games. Proceedings of the National Academy of Sciences, Yo 39, 1095-1100. 

Sobel, M.J. 1971. Noncooperative stochastic games. Annals of Mathematical Statistics, Wo A2, 1930-1935. 

Monte Carlo search methods are stochastic techniques based on the use of random numbers and probability statistics to sample conformational space. The name Monte Carlo was originally coined by Metropolis and Ulam [4] during the Manhattan Project of World War II because of the similarity of this simulation technique to games of chance. Today a variety of Monte Carlo (MC) simulation methods are routinely used in diverse fields such as atmospheric studies, nuclear physics, traffic flow, and, of course, biochemistry and biophysics. In this section we focus on the application of the Monte Carlo method for... 

The problems of operations research have stimulated new developments in several mathematical fields various aspects of game theory, stochastic processes, the calculus of variations, graph theory, and numerical analysis, to name a few. 

V. Zaharov, Games and Stochastic Control, in Control Applications of Optimization 2000, Vol. 2, V. Zaharv (Ed.), Elsevier Science, Amsterdam, 2000. 

Annealing is not the only process that may be used as a model for the development of probabilistic optimization algorithms. Bohachevsky, Johnson, and Stein [5] identified an analogy between stochastic optimization and a biased game of chance and used that analogy to estimate... 

In the game ludo we describe a stochastic movement to exemplify the movement of a playing unity on a game board. We regard first the straight line unaccelerated movement of a particle. To the speed of the particle applies as the well-known relation... 

We describe now the transition from the deterministic process to a stochastic process in more detail. The gaming piece, or more generally, the particle, is at the beginning with certainty in the position zero. Then after time t it is in position 1, or 2..., or 6 in the special case with the probability of 1/6. 

AbouRizk, S. M. (1992). A stochastic bidding game for construction management. Proceedings of 2nd Canadian Conference on Computing in Civil Engineering, Ottawa, Ontario, pp. 576-87. 

Wang, Q. and M. Parlar. 1994. A three-person game theory model arising in stochastic inventory control theory. European Journal of Operational Research, Vol.76, 83-97. 

Stackelberg game) demand uncertainty random defaults. The paper analyzes the effect of correlation under deterministic and stochastic demand, determines optimal timing for supplier payments and optimal wholesale price under supply disruption risk... 

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