A differential game approach to the dynamic mixed behavior traffic network equilibrium problem

Article Abstract:

A differential game solution to the dynamic mixed behaviour traffic network equilibrium problem is developed. The problem, which was characterized as a noncooperative N-person differential game, pertains to the interactions between two types of players known as User Equilibrium (UE) and Cournot-Nash (CN). Its solution, which was enabled by an approximate iterative algorithm that employed the Lagrangian and the gradient techniques, involved the equilibration of the average cost for UE players and marginal costs of the CN players, respectively.

Differential games, Traffic congestion, Traffic flow

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A soft approach for hard continuous optimization

Article Abstract:

A study on developing continuous optimization models using algorithms is discussed. Sampling technique is considered in the study.

Japan, Methods, Analysis, Statistical sampling, Sampling (Statistics), Mathematical optimization, Optimization theory

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Computation of noncooperative equilibria in ordinal games

Article Abstract:

A new study investigates noncooperative equilibria in ordinal games, focusing on its properties and computation methods.

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