{"ID":5937267,"CreatedAt":"2026-07-07T03:14:33.014478982Z","UpdatedAt":"2026-07-09T06:32:06.70555396Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2607.04717","arxiv_id":"2607.04717","title":"Rockafellian relaxation and minimum-norm slack for the Walrasian equilibrium problem","abstract":"We propose a Rockafellian relaxation of the Walrasian equilibrium problem for an exchange economy that may not admit one. Market clearing is slackened by a non-negative variable $v$ whose norm is penalized; the relaxation is well posed throughout. As the penalty grows, the residual converges to a vector $v^*_\\infty$ of minimum norm in the feasible range of excess demand, measuring the distance to the nearest equilibrium-admitting economy. A stressed Shapley--Shubik example recovers the analytical infeasibility floor to machine","short_abstract":"We propose a Rockafellian relaxation of the Walrasian equilibrium problem for an exchange economy that may not admit one. Market clearing is slackened by a non-negative variable $v$ whose norm is penalized; the relaxation is well posed throughout. As the penalty grows, the residual converges to a vector $v^*_\\infty$ of...","url_abs":"https://arxiv.org/abs/2607.04717","url_pdf":"https://arxiv.org/pdf/2607.04717v1","authors":"[\"Julio Deride\"]","published":"2026-07-06T06:41:18Z","proceeding":"math.OC","tasks":"[\"math.OC\",\"econ.TH\"]","methods":"[]","has_code":false}