Until now the fictitious play approach to optimization has only been demonstrated on a dynamic traffic routing problem; therefore, it is necessary to apply this method to other problems in order to demonstrate its effectiveness as a heuristic optimization method. We used the large scale situational awareness simulation developed for the Multidisciplinary University Research Initiative (MURI) on...

In this paper we investigate the properties of the sampled version of the fictitious play algorithm, familiar from game theory, for games with identical payoffs, and propose a heuristic based on fictitious play as a solution procedure for discrete optimization problems of the form max{u(y) : y = (y1, . . . , yn) ∈ Y1 × · · · × Yn}, i.e., in which the feasible region is a Cartesian product of fi...

A computational method is proposed for problems where fluid–structure interaction is combined with solid-rigid contact. This combination is particularly important for the dynamics and impact of heart valves. The Navier–Stokes equation in an Eulerian setting is coupled to a Neo-Hookean solid model using a Lagrangian description. A fictitious domain method extended with a local mesh adaptation al...

We provide a new interpretation of the Nash bargaining solution, using fictitious play. Based on the finding that the Nash demand game has the fictitious play property and that almost every fictitious play process and its associated belief path converge to a pure-strategy Nash equilibrium in the Nash demand game (In, 2014), we present two initial demand games which exactly and approximately imp...

In this paper we explore existing log files of the VIBOA environmental policy game. Our aim is to identify relevant player behaviours and performance patterns. The VIBOA game is a 50 hours master level serious game that supports inquiry-based learning: students adopt the role of an environmental consultant in the (fictitious) consultancy agency VIBOA, and have to deal with complex, multi-facete...

This contribution deals with the numerical solution of elliptic boundary value problems with unilateral boundary conditions using a fictitious domain method. Any fictitious domain formulation [2] extends the original problem defined in a domain ω to a new (fictitious) domain Ω with a simple geometry (e.g. a box) which contains ω. The main advantage consists in possibility to use a uniform mesh ...