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A Stochastic Differential Reinsurance Game [PDF]

open access: yesJournal of Applied Probability, 2010
We study a stochastic differential game between two insurance companies who employ reinsurance to reduce the risk of exposure. Under the assumption that the companies have large insurance portfolios compared to any individual claim size, their surplus processes can be approximated by stochastic differential equations.
Xudong Zeng
exaly   +4 more sources
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On the definition of a stochastic differential game

Mathematical Systems Theory, 1970
where 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.
Emilio Roxin, Chris P. Tsokos
openaire   +3 more sources

An overlapping generations stochastic differential game

Automatica, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jørgensen, Steffen, Yeung, D. W. K.
openaire   +4 more sources

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