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math.PR2014★ 26 cited
Markovian Nash equilibrium in financial markets with asymmetric information and related forward-backward systems
Umut Çetin, Albina Danilova
This paper develops a new methodology for studying continuous-time Nash equilibrium in a financial market with asymmetrically informed agents. This approach allows us to lift the r…
math.PR2014
Markov bridges: SDE representation
Umut Çetin, Albina Danilova
Let be a Markov process taking values in with continuous paths and transition function . Given a measure on , a Markov br…
math.PR2012
Dynamic Markov bridges motivated by models of insider trading
Luciano Campi, Umut Çetin, Albina Danilova
Given a Markovian Brownian martingale , we build a process which is a martingale in its own filtration and satisfies . We call a dynamic bridge, because its t…