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Theoretical Steps to Optimize Transportation in the Cubic Networks and the Congestion Paradox

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  • Joonkyung Yoo

Abstract

Given a player is guaranteed the same payoff for each delivery path in a single-cube delivery network, the player's best response is to randomly divide all goods and deliver them to all other nodes, and the best response satisfies the Kuhn-Tucker condition. The state of the delivery network is randomly complete. If congestion costs are introduced to the player's maximization problem in a multi-cubic delivery network, the congestion paradox arises where all coordinates become congested as long as the previous assumptions about payoffs are maintained.

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  • Joonkyung Yoo, 2024. "Theoretical Steps to Optimize Transportation in the Cubic Networks and the Congestion Paradox," Papers 2401.00940, arXiv.org.
    • Handle: RePEc:arx:papers:2401.00940
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    File URL: http://arxiv.org/pdf/2401.00940
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