---
res:
  bibo_abstract:
  - "Prophet inequalities are a central object of study in optimal stopping theory.
    A gambler is sent values online, sampled from an instance of independent distributions,
    in an adversarial, random or selected order, depending on the model. When observing
    each value, the gambler either accepts it as a reward or irrevocably rejects it
    and proceeds to observe the next value. The goal of the gambler, who cannot see
    the future, is maximising the expected value of the reward while competing against
    the expectation of a prophet (the offline maximum). In other words, one seeks
    to maximise the gambler-to-prophet ratio of the expectations.\r\nThe model, in
    which the gambler selects the arrival order first, and then observes the values,
    is known as Order Selection. In this model a ratio of 0.7251 has been proved to
    be attainable for any instance. In very recent work, this has been improved up
    to 0.7258. If the gambler chooses the arrival order (uniformly) at random, we
    obtain the Random Order model. The worst case ratio over all possible instances
    has been extensively studied for at least 40 years. In the recent work aforementioned,
    through simulations, this ratio has been shown to be at most 0.7254 for the Random
    Order model, thus establishing for the first time that carefully choosing the
    order, instead of simply taking it at random, benefits the gambler. We give an
    alternative, more rigorous proof of this fact, by showing mathematically that
    in the Random Order model, no algorithm can achieve a ratio larger than 0.7235.
    This sets a new state-of-the-art hardness for this model, and establishes more
    formally that there is a real benefit in choosing the order.@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Giordano
      foaf_name: Giambartolomei, Giordano
      foaf_surname: Giambartolomei
  - foaf_Person:
      foaf_givenName: Frederik Mallmann-Trenn
      foaf_name: Frederik Mallmann-Trenn, Frederik Mallmann-Trenn
      foaf_surname: Frederik Mallmann-Trenn
  - foaf_Person:
      foaf_givenName: Raimundo J
      foaf_name: Saona Urmeneta, Raimundo J
      foaf_surname: Saona Urmeneta
      foaf_workInfoHomepage: http://www.librecat.org/personId=BD1DF4C4-D767-11E9-B658-BC13E6697425
    orcid: 0000-0001-5103-038X
  bibo_doi: 10.48550/arXiv.2304.04024
  dct_date: 2023^xs_gYear
  dct_language: eng
  dct_title: 'Prophet inequalities: Separating random order from order selection@'
...