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On the definition of a stochastic differential game
Mathematical Systems Theory, 1970where t e R is the time, x ~ R" is the state variable, u = u(t) ~ R p and v = v(t) ~ R q are control variables and w = w(t, ~o)~ R" is some stochastic process defined over the probability space (f2, 0, t0, where f~ is a nonempty abstract set, 0 is a o-algebra of subsets of f2 and tz is a probability measure on 0.
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