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Pareto optimal allocations and dynamic programming

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  • Sebastian Sitarz

Abstract

The aim of the paper is to show the relations between dynamic programming (DP) and the Pareto optimal allocations (PAO) problem. Moreover, the paper shows how to use DP methods in order to find the Pareto optimal allocations at a particular point in time. Copyright Springer Science+Business Media, LLC 2009

Suggested Citation

  • Sebastian Sitarz, 2009. "Pareto optimal allocations and dynamic programming," Annals of Operations Research, Springer, vol. 172(1), pages 203-219, November.
    • Handle: RePEc:spr:annopr:v:172:y:2009:i:1:p:203-219:10.1007/s10479-009-0558-8
    DOI: 10.1007/s10479-009-0558-8
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    References listed on IDEAS

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    1. Trzaskalik, Tadeusz & Sitarz, Sebastian, 2007. "Discrete dynamic programming with outcomes in random variable structures," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1535-1548, March.
    2. Jouini, Elyes & Napp, Clotilde, 2003. "Comonotonic processes," Insurance: Mathematics and Economics, Elsevier, vol. 32(2), pages 255-265, April.
    3. repec:dau:papers:123456789/343 is not listed on IDEAS
    4. Jouini, Elyes & Napp, Clotilde, 2003. "Comonotonic processes," Insurance: Mathematics and Economics, Elsevier, vol. 32(2), pages 255-265, April.
    5. L. G. Mitten, 1974. "Preference Order Dynamic Programming," Management Science, INFORMS, vol. 21(1), pages 43-46, September.
    6. Kathrin Klamroth & Margaret M. Wiecek, 2000. "Dynamic programming approaches to the multiple criteria knapsack problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(1), pages 57-76, February.
    7. Pablo Dorta-González & Dolores-Rosa Santos-Peñate & Rafael Suárez-Vega, 2002. "Pareto Optimal Allocation and Price Equilibrium for a Duopoly with Negative Externality," Annals of Operations Research, Springer, vol. 116(1), pages 129-152, October.
    8. Anderson, Evan W., 2005. "The dynamics of risk-sensitive allocations," Journal of Economic Theory, Elsevier, vol. 125(2), pages 93-150, December.
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    Cited by:

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