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arXiv · 2112.10180

A Short Proof of Convexity of Step-out Step-in Sequencing Games

Coulter Beeson·Neil Olver
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Abstract

The Step out-Step in sequencing game is a particular example of a game from the sequencing game framework of Curiel, Perderzoli, and Tijs, where coalitions of players in a queue may reorder themselves to improve the their overall cost, under some restrictions. Musegaas, Borm and Quant proved, in two papers, that a simple greedy algorithm correctly computes the valuation of a coalition, and that the game is convex. These proofs entail rather involved case analyses; in this note, we give short proofs of both results.

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Coulter Beeson, Neil Olver. 2021-12-19. A Short Proof of Convexity of Step-out Step-in Sequencing Games. https://doi.org/10.1016/j.orl.2021.01.015

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