On the value of advanced information about delayed rewards.

"Declarations Conflict of interestThe authors declare that they have no conflict of interests. Ethical approvalThe pigeons were cared for according to the animal care guidelines of the Directorate-General for Food and Veterinary (DGAV), the Portuguese national authority for animal health, and the University of Minho. All experimental procedures were conducted in agreement with European (Directive 2010/63/EU) and Portuguese law (Ordinance 1005/92 of October 23), and were approved by DGAV (Authorization #024946). Conflict of interest The authors declare that they have no conflict of interests."

"Funding This study was supported by the Portuguese Foundation for Science and Technology (UID/PSI/01662/2013 and UIDB/04810/2020). Alejandro Macías was supported by the Mexican National Council for Science and Technology (239027/438354); Armando Machado was supported by the Brazilian Instituto Nacional de Ciência e Tecnologia sobre Comportamento, Cognição e Ensino (INCT-ECCE / CNPq Grant #465686/2014–1), and; Marco Vasconcelos was supported by a Fulbright Grant for Scholars and Researchers, AY2022/2023, with the support of the Luso-American Development Foundation. The authors declare they have no other known conflicts of interest."