Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Fundamentals of Structural Optimization (III): Game-Theory Methods

Fundamentals of Structural Optimization (III): Game-Theory Methods

Kobelev, Vladimir

Hardcover

Series: Mathematical Engineering

Technology & EngineeringGeneral Mathematics

PREORDER - Expected ship date February 24, 2027

ISBN10: 3032426553
ISBN13: 9783032426550
Publisher: Springer
Published: Feb 24 2027
Pages: 172
Language: English

Fundamentals of Structural Optimization (III) - Game-Theory Methods develops a unified, Lie-algebraic and geometric framework for modeling and solving competitive and uncertainty-aware optimization problems as structured games. It shows how static and differential lattice games on semisimple Lie groups can be translated--via mirroring and Lie expansion/retraction--into computable spectral problems. The volume explains when equilibrium selection is governed by eigenvalues (commuting/reference regimes) versus when it is governed by singular values (noncommuting, nonlinear, heterogeneous settings). It further introduces Green-Zerna metrics and Milnor curvature to interpret how Hamiltonian flow sensitivity produces geometric incompatibilities, and provides an asymptotic reduction pathway from differential games to terminal static interaction problems. Finally, it connects the methodology to engineering relevance through heterogeneous games and bilevel structural optimization, where design parameters parameterize lower-level game dynamics and the upper level optimizes the resulting equilibrium value.

Also from

Kobelev, Vladimir

View All

Also in

General Mathematics

View All