Fractional Mean-Field-Type Games under Non-Quadratic Costs : A Direct Method

• This work examines the solvability of fractional conditional mean-field-type games. The evolution of the state is described by a time-fractional stochastic dynamics driven by jump-diffusion-regime switching Gauss-Volterra processes which include fractional Brownian motion and multi-fractional Brownian motion. The cost functional is non-quadratic and includes a fractional-integral of an higher order polynomial. We provide semi-explicitly the equilibrium strategies in state-and-conditional mean-field-type feedback form for all decision-makers. 

Subject headings

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Keyword

Decision making

Stochastic systems

Conditional means

Cost functionals

Decision makers

Equilibrium strategy

Fractional brownian motion

Fractional integrals

Higher-order polynomials

Stochastic dynamics

Brownian movement

Publication and Content Type

ref (subject category)

kon (subject category)