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DESIGNING RANDOM ALLOCATION MECHANISMS:THEORY AND APPLICATIONS
Market Design Random Assignment Birkhoff-von Neumann Theorem Probabilistic Serial Pseudo-Market Utility Guarantee Assignment Messages
2015/7/21
Randomization is a common feature of everyday resource allocation. We generalize the theory of randomized assignment to accommodate various real-world constraints such as group-specific quotas (“contr...
Time-Changed Ornstein-Uhlenbeck Processes And Their Applications In Commodity Derivative Models
Time-Changed Ornstein-Uhlenbeck Processes Commodity Derivative Models Pricing of Securities
2012/4/28
This paper studies subordinate Ornstein-Uhlenbeck (OU) processes, i.e., OU diffusions time changed by L\'{e}vy subordinators. We construct their sample path decomposition, show that they possess mean-...
Dynamic Coherent Acceptability Indices and their Applications to Finance
dynamic coherent acceptability index dynamic measures of performance
2010/10/22
In this paper we present a theoretical framework for studying coherent acceptability indices in a dynamic setup. We study dynamic coherent acceptability indices and dynamic coherent risk measures, an...
Explicit solutions for the exit problem for a class of Lévy processes. Applications to the pricing of double barrier options
Explicit solutions for the exit problem class Lévy processes Applications pricing double barrier options
2010/10/19
Lewis and Mordecki have computed the Wiener-Hopf factorization of a L\'evy process whose restriction on $]0,+\infty[$ of their L\'evy measure has a rational Laplace transform. That allows to compute ...
Stability analysis with applications of a two-dimensional dynamical system arising from a stochastic model of an asset market
Stability analysis with applications stochastic model of an asset market
2010/11/2
We analyze the stability properties of equilibrium solutions and periodicity of orbits in a two-dimensional dynamical system whose orbits mimic the evolution of the price of an asset and the excess de...
A simple discretization scheme for nonnegative diffusion processes, with applications to option pricing
discretization scheme diffusion processes
2010/12/13
A discretization scheme for nonnegative diffusion processes is proposed and the convergence of the corresponding sequence of approximate processes is proved using the martingale problem framework. Mo...