Abstract
We investigate the existance of simple policies in finite discounted cost Markov Decision Processes, when the discount factor is not constant. We introduce a class called "exponentially representable" discount functions. Within this class we prove existence of optimal policies which are eventually stationary-from some time N onward, and provide an algorithm for their computation. Outside this class, optimal policies with this structure in general do not exist.
Original language | English |
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DOIs | |
State | Published - 2008 |
Externally published | Yes |
Event | 3rd International Conference on Performance Evaluation Methodologies and Tools, VALUETOOLS 2008 - Athens, Greece Duration: 20 Oct 2008 → 24 Oct 2008 |
Conference
Conference | 3rd International Conference on Performance Evaluation Methodologies and Tools, VALUETOOLS 2008 |
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Country/Territory | Greece |
City | Athens |
Period | 20/10/08 → 24/10/08 |
Keywords
- Discounted cost
- General discounting function
- Hyperbolic discounting
- Markov decision processes
- Mixed discounting