A minmax problem for parabolic systems with competitive interactions

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper we model the evolution and interaction between two competing populations as a system of parabolic partial differential equations. The interaction between the two populations is quantified by the presence of non-local terms in the system of equations. We model the whole system as a two-person zero-sum game where the gains accrued by one population necessarily translate into the others loss. For a suitably chosen objective functional(pay-off) we establish and characterize the saddle point of the game. The controls(strategies) are kernels of the interaction terms.

Original languageEnglish
Pages (from-to)1-18
Number of pages18
JournalElectronic Journal of Differential Equations
Volume1999
Publication statusPublished - 13 Dec 1999
Externally publishedYes

Fingerprint

Min-max Problem
Parabolic Systems
Interaction
Two-person Games
Zero sum game
Parabolic Partial Differential Equations
Term
Saddlepoint
System of equations
Control Strategy
Game
kernel
Model

Keywords

  • Game theory
  • Optimal control
  • Saddle point

ASJC Scopus subject areas

  • Analysis

Cite this

A minmax problem for parabolic systems with competitive interactions. / Chawla, Sanjay.

In: Electronic Journal of Differential Equations, Vol. 1999, 13.12.1999, p. 1-18.

Research output: Contribution to journalArticle

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