{ "id": "1105.0934", "version": "v1", "published": "2011-05-04T20:31:08.000Z", "updated": "2011-05-04T20:31:08.000Z", "title": "Stochastic programs without duality gaps", "authors": [ "Teemu Pennanen", "Ari-Pekka Perkkiƶ" ], "categories": [ "math.OC", "cs.SY", "q-fin.PR" ], "abstract": "This paper studies dynamic stochastic optimization problems parametrized by a random variable. Such problems arise in many applications in operations research and mathematical finance. We give sufficient conditions for the existence of solutions and the absence of a duality gap. Our proof uses extended dynamic programming equations, whose validity is established under new relaxed conditions that generalize certain no-arbitrage conditions from mathematical finance.", "revisions": [ { "version": "v1", "updated": "2011-05-04T20:31:08.000Z" } ], "analyses": { "keywords": [ "duality gap", "stochastic programs", "studies dynamic stochastic optimization problems", "paper studies dynamic stochastic optimization" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1105.0934P" } } }