Pigeons play the percentages: computation of probability in a bird

Agrillo C, Dadda M, Serena G, Bisazza A (2009) Use of number by fish. PLoS One 4:e4786

Balsam PD, Gallistel CR (2009) Temporal maps and informativeness in associative learning. Trends Neurosci 32:73–78

Bitterman ME (1965) Phyletic differences in learning. Am Psychol 20:396–410

Bullock DH, Bitterman ME (1962) Probability-matching in the pigeon. Am J Psychol 75:634–639

Cantlon JF, Brannon EM (2006) Shared system for ordering small and large numbers in monkeys and humans. Psychol Sci 17:401–406

Cantlon JF, Platt ML, Brannon EM (2009) Beyond the number domain. Trends Cogn Sci 13:83–91

Cunningham PJ, Shahan TA (2018) Suboptimal choice, reward-predictive signals, and temporal information. J Exp Psychol Anim Learn Cogn 44:1–22

Denison S, Xu F (2010) Twelve- to 14-month-old infants can predict single-event probability with large set sizes. Dev Sci 13:798–803

Denison S, Xu F (2014) The origins of probabilistic inference in human infants. Cognition 130:335–347

Denison S, Reed C, Xu F (2012) The emergence of probabilistic reasoning in very young infants: evidence from 4.5- and 6-month-olds. Dev Psychol 49:243–249

Fagen R (1987) A generalized habitat matching rule. Evol Ecol 1:5–10

Gallistel CR, Gelman R (2000) Non-verbal numerical cognition: from reals to integers. Trends Cogn Sci 4:59–65

Gallistel CR, Gibbon J (2000) Time, rate, and conditioning. Psychol Rev 107:289–344

Gipson CD, Alessandri JJ, Miller HC, Zentall TR (2009) Preference for 50% reinforcement over 75% reinforcement by pigeons. Learn Behav 37:289–298

Herrnstein RJ (1970) On the law of effect. J Exp Anal Behav 13:243–266

Herrnstein RJ (1974) Formal properties of the matching law. J Exp Anal Behav 21:159–164

Kyonka EGE, Grace RC (2008) Rapid acquisition of preference in concurrent chains when alternatives differ on multiple dimensions of reinforcement. J Exp Anal Behav 89:49–69

MacDonald HM, Roberts WA (2018) Cognitve flexibility and dual processing in pigeons: temporal Anim and contextual control of midsession reversal. J Exp Psychol Anim Behav Proc 44:149–161

Meck WH, Church RM (1983) A mode control model of counting and timing processes. J Exp Psychol Anim Behav Proc 9:320–334

Rakoczy H, Cluver A, Saucke L, Sto`ffregen N, Grabener A, Migura J, Call J (2014) Apes are intuitive statisticians. Cognition 131:60–68

Roberts WA (2010) Distance and magnitude effects in sequential number discrimination by pigeons. J Exp Psychol Anim Behav Proc 36:206–216

Roberts WA, Coughlin R, Roberts S (2000) Pigeons flexibly time or count on cue. Psychol Sci 11:218–222

Roberts WA, Strang C, Macpherson K (2015) Memory systems interaction in the pigeon: working and reference memory. J Exp Psychol Anim Learn Cogn 41:152–162

Schneider JW (1968) Effects of percentage reinforcement on choice in a concurrent chain schedule. Psychon Sci 12:211–212

Spetch ML, Dunn R (1987) Choice between reliable and unreliable outcomes: mixed percentage-reinforcement in concurrent chains. J Exp Anal Behav 47:57–72

Stagner JP, Zentall TR (2010) Suboptimal choice behavior by pigeons. Psychonom Bull Rev 17:412–416

Stephens DW, Krebs JR (1986) Foraging theory. Princeton University Press, Princeton

Tecwyn EC, Denison S, Messer EJE, Buchsbaum D (2017) Intuitive probabilistic inference in capuchin monkeys. Anim Cogn 20:243–256

Vasconcelos M, Monteiro T, Kacelnik A (2015) Irrational choice and the value of information. Sci Rep 5:13874. https://doi.org/10.1038/srep13874

Walsh V (2003) A theory of magnitude: common cortical metrics of time, space and quantity. Trends Cogn Sci 7:483–488

Whalen J, Gallistel CR, Gelman R (1999) Nonverbal counting in humans: the psychophysics of number representation. Psychol Sci 10:130–137

Xu F, Denison S (2009) Statistical inference and sensitivity to sampling in 11-month-old infants. Cognition 112:97–104

Xu F, Garcia V (2008) Intuitive statistics by 8-month-old infants. Proc Nat Acad Sci 105:5012–5015

Zentall TR (2014) Suboptimal choice by pigeons: an analog of human gambling behavior. Behav Proc 103:156–164

Zentall TR (2016) Resolving the paradox of suboptimal choice. J Exp Psychol Anim Learn Cogn 42:1–14

Zentall TR, Stagner J (2011a) Maladaptive choice behavior by pigeons: an animal analogue and possible mechanism for gambling (sub-optimal human decision-making behaviour). Proc B Bio Sci R Soc 278:1203–1208

Zentall TR, Stagner JP (2011b) Sub-optimal choice by pigeons. Failure to support the Allais paradox. Learn Mot 42:245–254