5 citations · 5 across the 5 of their papers we have counts for
6 papers
Stable representations of Hamilton-Jacobi-Bellman equations with infinite horizon
Arkadiusz Misztela, Sławomir Plaskacz
In this paper, for the Hamilton-Jacobi-Bellman equation with an infinite horizon and state constraints, we construct a suitably regular representation. This allows us to reduce the…
An initial condition reconstruction in Hamilton-Jacobi equations
Arkadiusz Misztela, Sławomir Plaskacz
We describe the family of initial conditions for Hamilton-Jacobi equations (HJE) corresponding to optimal control problems that can be retrieved by solving HJE backward in time.
Finite-time stability for differential inclusions with applications to neural networks
Radosław Matusik, Andrzej Nowakowski, Sławomir Plaskacz +1
The paper investigates sufficient conditions on a differential inclusion which guarantee that the origin is a finite time stable equilibrium, namely a weak local one, a weak global…
Smale Strategies For The N-Person Iterated Prisoner's Dilemma
Ethan Akin, Slawomir Plaskacz, Joanna Zwierzchowska
Adapting methods introduced by Steven Smale, we describe good strategies for a symmetric version of the Iterated Prisoner's Dilemma with n players.
Dynamical systems associated to the -core in the repeated prisoner's dilemma
Sławomir Plaskacz, Joanna Zwierzchowska
We consider the repeated prisoner's dilemma (PD). We assume that players make their choices knowing only average payoffs from the previous stages. A player's strategy is a function…
Strong and safe Nash equilibrium in some repeated 3-player games
Tadeusz Kufel, Sławomir Plaskacz, Joanna Zwierzchowska
We consider a 3-player game in the normal form, in which each player has two actions. We assume that the game is symmetric and repeated infinitely many times. At each stage players…