A Complementary Pivot Algorithm for Competitive Allocation of a Mixed Manna

We study the fair division problem of allocating a mixed manna under additively separable piecewise linear concave (SPLC) utilities. A mixed manna contains goods that everyone likes and bads (chores) that everyone dislikes as well as items that some like and others dislike. The seminal work of Bogom...

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Veröffentlicht in:	Mathematics of operations research 2023-08, Vol.48 (3), p.1630-1656
1. Verfasser:	Chaudhury, Bhaskar Ray
Format:	Artikel
Sprache:	eng
Schlagworte:	68Q25 90C33 Algorithms competitive equilibrium complementary pivot algorithm Computation Equilibrium fair division Game theory LCP formulation Mathematical models mixed manna Operations research Polynomials Primary: 91B50 Utilities
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