eprintid: 1788 rev_number: 4 eprint_status: archive userid: 46 dir: disk0/00/00/17/88 datestamp: 2013-09-17 13:09:23 lastmod: 2013-09-17 13:09:23 status_changed: 2013-09-17 13:09:23 type: conference_item succeeds: 1787 metadata_visibility: show creators_name: Gaggero, Mauro creators_name: Gnecco, Giorgio creators_name: Sanguineti, Marcello creators_id: creators_id: giorgio.gnecco@imtlucca.it creators_id: title: Suboptimal Solutions to Team Optimization Problems with Statistical Information Structure ispublished: pub subjects: QA75 divisions: CSA full_text_status: none pres_type: paper note: 24th European Conference on operational research abstract: Network team optimization problems with statistical information structure are investigated. A team of n Decision Makers (DMs), each having at disposal some information (obtained, e.g., by measurement devices or by exit polls) and various possibilities of decisions, coordinate their efforts to achieve a common goal, expressed via a team utility function. Decisions are generated by the DMs via strategies, on the basis of the available information y1, . . . , yn that each of them has and in the presence of uncertainties in the "state of the external world’ x (which the DMs do not control). Such uncertainties are modeled via a joint probability density p(x, y1, . . . , yn). For these problems, optimal solutions in closed form can be derived only in special cases, so a methodology of approximate solution is proposed. Suboptimal solutions are searched for, taking the form of linear combinations of elements from sets of basis functions, possibly with adjustable "inner’ parameters. Upper bounds on the accuracy of such suboptimal solutions are obtained. The estimates are expressed in dependence of the number of trigonometric and Gaussian basis functions. The trade-off between the level of decentralization and the smoothness assumptions on the utility function and the probability density, required to derive the upper bounds, is investigated. Numerical results are presented for an instance of the network team optimization problem under study, which models optimal production in a multidivisional firm. date: 2010 pagerange: 105 event_title: EURO XXIV event_location: Lisbon, Portugal event_dates: July 11th-14th, 2010 event_type: conference refereed: TRUE related_url_url: http://www.euro2010lisbon.org/ related_url_type: org citation: Gaggero, Mauro and Gnecco, Giorgio and Sanguineti, Marcello Suboptimal Solutions to Team Optimization Problems with Statistical Information Structure. In: EURO XXIV , July 11th-14th, 2010, Lisbon, Portugal p. 105. (2010)