Differential Games Treated by a Gradient–Restoration Approach

Mauro Pontani
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Mauro Pontani: University of Rome “La Sapienza”, via Eudossiana 16

Chapter Chapter 21 in Variational Analysis and Aerospace Engineering, 2009, pp 379-396 from Springer

Abstract: Abstract Abstract When When two competitive actors are involved in a flight path optimization, the problem can be modelled as a zero-sum game. This chapter describes a general procedure to convert the two-sided optimization problem into an optimal control problem. In addition, a numerical approach to the solution is proposed. The method is based on the joint application of an evolutionary algorithm (for providing a starting guess) and of the sequential gradient-restoration algorithm (to achieve the final solution). The homicidal chauffeur game – a classical example of zero-sum game – and an orbital pursuit-evasion game are considered to describe the method and test its effectiveness.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-0-387-95857-6_21

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DOI: 10.1007/978-0-387-95857-6_21

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