Game theoretical methods in PDEs

Use of game-theoretical methods in biochemistry and biophysics.

Evolutionary game theory can be considered as an extension of the theory of evolutionary optimisation in that two or more organisms (or more generally, units of replication) tend to optimise their properties in an interdependent way. Thus, the outcome of the strategy adopted by one species (e.g., as a result of mutation and selection) depends on the strategy adopted by the other species. In thi...

Numerical Methods for PDEs

Numerical Methods for PDEs

Game Theoretical Modeling and Studies of Peer-Reviewing Methods

We model a family of peer-reviewing processes as game-theoretic problems. This helps to understand elements of existing peer-reviewing procedures, and to predict the impact of new mechanisms. Real world conference peer-reviewing processes are overly complex and here we define and analyze simple versions. Our versions provides a contribution towards formalizing and understanding these complex re...

Numerical Methods for Nonlinear PDEs in Finance

Many problems in finance can be posed in terms of an optimal stochastic control. Some well-known examples include transaction cost/uncertain volatility models [17, 2, 25], passport options [1, 26], unequal borrowing/lending costs in option pricing [9], risk control in reinsurance [23], optimal withdrawals in variable annuities[13], optimal execution of trades [20, 19], and asset allocation [28,...