English

Arctic Auctions, Linear Fisher Markets, and Rational Convex Programs

Computer Science and Game Theory 2025-11-27 v1 Data Structures and Algorithms Theoretical Economics

Abstract

This paper unifies two foundational constructs from economics and algorithmic game theory, the Arctic Auction and the linear Fisher market, to address the efficient allocation of differentiated goods in complex markets. Our main contributions are showing that an equilibrium for the Arctic Auction is captured by a Rational Convex Program, and deriving the first combinatorial polynomial-time algorithm for computing Arctic Auction equilibria.

Keywords

Cite

@article{arxiv.2511.21637,
  title  = {Arctic Auctions, Linear Fisher Markets, and Rational Convex Programs},
  author = {Vijay V. Vazirani},
  journal= {arXiv preprint arXiv:2511.21637},
  year   = {2025}
}

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24 pages