The Hamilton-Jacobi-Bellman equation for a class of differential games with random duration

作者: Ekaterina V Shevkoplyas

DOI: 10.1134/S0005117914050142

关键词:

摘要: We consider the class of differential games with random duration. show that a problem game duration can be reduced to standard an infinite time horizon. A Hamilton-Jacobi-Bellman-type equation is derived for finding optimal solutions in Results are illustrated by example game-theoretic model nonrenewable resource extraction. The analyzed under assumption Weibull-distributed terminal game.

参考文章(7)
Ernest J. Henley, 博光 熊本, Reliability engineering and risk assessment ,(1981)
Engelbert J. Dockner, Steffen Jorgensen, Ngo Van Long, Gerhard Sorger, Differential Games in Economics and Management Science Cambridge Books. ,(2000) , 10.1017/CBO9780511805127
Alain Haurie, A Multigenerational Game Model to Analyze Sustainable Development Annals of Operations Research. ,vol. 137, pp. 369- 386 ,(2005) , 10.1007/S10479-005-2267-2
Menahem E. Yaari, Uncertain Lifetime, Life Insurance, and the Theory of the Consumer The Review of Economic Studies. ,vol. 32, pp. 137- 150 ,(1965) , 10.2307/2296058
Jesús Marín-Solano, Jorge Navas, Non-constant discounting in finite horizon: The free terminal time case Journal of Economic Dynamics and Control. ,vol. 33, pp. 666- 675 ,(2009) , 10.1016/J.JEDC.2008.08.008
Larry Karp, Non-Constant Discounting in Continuous Time Journal of Economic Theory. ,vol. 132, pp. 557- 568 ,(2007) , 10.1016/J.JET.2005.07.006