Ale si nàse wò ŋuɖoɖo gɔme
- Wò dzidzeme ɖe ale si nèbu taɖoƒe geɖe ŋgɔe fia. Nɔmba si le 50 gbɔ la nye dzidzeme 0: mègabu ame bubuwo ŋu o. Nɔmba si le 33 gbɔ la nye dzidzeme 1: ‘amewo abu 50.’ Nɔmba si le 22 gbɔ la nye dzidzeme 2: ‘amewo abu taɖoƒe ɖeka ŋgɔ.’ Taɖoƒe ɖesiaɖe nye 2/3 le esi do ŋgɔ la [1].
- Game theory ƒe ŋuɖoɖo nye 0. Ne ameawo katã bu nu va se ɖe nuwuwu, ŋuɖoɖo ɖesiaɖe aɖi va 0. Gake le nyateƒe me la, nuteƒewɔlaawo mewɔa nenema kpata o, eye 0 mewulaa le amewo ƒe game siwo le dukɔa me o [1][2].
- Màte ŋu awu o: ŋuɖoɖo si le 66.7 wu la mate ŋu awu o, elabena ne ameawo katã bu 100 hã la, nyagbe si le nudzɔdzɔ me nye 66.7.
- Ame si wula le ɣleti sia me aɖe fia ne game ƒe ɣeyiɣi nu vɔ (game ɖesiaɖe ƒe ɣeyiɣi nye kwasiɖa ɖeka, fiẽɖa va se ɖe kɔsiɖa, UTC). Míegbe be míafia ƒeɖeɖe si le edzi le game me hafi ɣeyiɣi nu vɔ o, elabena esia aɖe game la gɔme na amewo. Ele be ame 30 ƒu ƒu anyi hafi game la ate ŋu aɖe ŋuɖoɖo aɖe fia.
Nɔmba kae nye nyo be nabu?
Nɔmba ɖeka si nye nyo ɖe sia ɖe mele o: esia ku ɖe nɔmba si ame bubuwo bu ŋu. Le game siwo dze ŋgɔ le dukɔa me la, nyagbe si wobia la nɔ 13 kple 22 dome ƒe kaba. Financial Times ƒe xleɖelawo ƒe ƒeɖeɖe nye 18.9, eya ta nyagbe la nye 12.6 [2]. Le Denmark ƒe gazeti ƒe game si ame 19196 wò la, ƒeɖeɖe nye 32.4, eye nyagbe la nye 21.6 [3].
Dɔ axa sia ƒe ŋkɔ abe tsoƒe ene: Bu 2/3 le ƒeƒe ƒe ƒeɖeɖe me. Helibrain. 2026. https://helibrain.com/ee/guess-two-thirds-of-the-average. CC BY 4.0.
Nyatakakawo le kpɔɖeŋu me
- Nu ka wòɖe fia: taɖoƒe geɖe ŋgɔe nèbu ame bubuwo ƒe nuwɔwɔ ŋu. Nunya ƒe dzikpɔlaawo yɔ esia level-k ƒe susuɖeɖe [1][4].
- Dodokpɔ si nyo ŋutɔ: le Rosemarie Nagel ƒe 1995 ƒe dodokpɔ me, round gbãtɔ la, sukuviwo bu 36.7 ƒe ƒeɖeɖe, eye ŋuɖoɖo siwo ame geɖe tia nɔ 33 kple 22 gbɔ [1].
- Game gãwo: Financial Times ƒe xleɖela 1476 bu 18.9 ƒe ƒeɖeɖe (ŋuɖoɖo si wula nye 13), eye Politiken ƒe xleɖela 19196 bu 32.4 ƒe ƒeɖeɖe [2][3].
- 33 ƒe ŋusẽ: le New York Times ƒe 2015 ƒe game ƒe tɔtrɔ aɖe me, xleɖela 56,000 ƒe kaba, 33 nye nɔmba si ame geɖe tia [5].
- Afima susu la tso: nunya dzikpɔla John Maynard Keynes ɖe asitsanyawo sɔ kple agbe nyui ƒe contest, afi si wòwua ne ètia ŋutilã si ame bubuwo atia [6].
Ale si game la wɔa dɔ
- Tia nɔmba si menye afakpa o tso 0 va se 100, eye nàɖo kpe eŋu.
- Ameawo katã ƒe ŋuɖoɖowo le kwasiɖa sia me woaƒe ƒeɖeɖe ne round la nu vɔ, eye nyagbe la nye ƒeɖeɖe la ƒe 2/3.
- Ŋuɖoɖo si te ɖe nyagbe la ŋu wu la wua. Ne ŋuɖoɖowo sɔ la, woatsɔ wula la ma. Kɔsiɖa, axɔ ƒe si va yi ƒe nuteƒewɔlaawo, ƒeɖeɖe, nyagbe, ŋuɖoɖo si wula, kple ale si woɖo ŋuɖoɖo nɔmba ɖesiaɖe la ƒe nyatakakawo ɖe axa la dzi.
Ame ɖesiaɖe ƒe ŋuɖoɖo ɖeka ko woaɖo ŋu le round ɖesiaɖe me. Míekpɔa ŋuɖoɖo ɖeka tso browser ɖeka kple internet ƒe kadodo ɖeka me, eya ta ame siwo zãa network ɖeka (suku, dɔwɔƒe, ƒome) woakpɔ ŋuɖoɖo ɖeka le kwasiɖa ɖesiaɖe me. Ŋuɖoɖo evelia mele ŋu o. Ne èbu nɔmba la ko la, axa la aɖe afika wò nɔmba le susuɖeɖe ƒe taɖoƒewo dzi kple ale si nàwɔ le game siwo nyo ŋutɔ siwo le etame la me fia.
Nu ka game la doa kpɔ, eye afika wò tso
Nunya dzikpɔlaawo yɔ game sia p-beauty contest, afisi p = 2/3 le afi sia. Rosemarie Nagel wɔe wòzu lab ƒe dodokpɔ si nyo ŋutɔ le 1995 me [1]. Edi be: amewo mebu nu va se ɖe 0 o, eye meɖoa ŋuɖoɖo le gomegome me hã o. Geɖewo nɔa tsitre le susuɖeɖe taɖoƒe ɖeka alo eve megbe, ‘woabu be nye hã mebu be...’.
Susu sia, be ame siwo bua taɖoƒe aɖewo ko le ame bubuwo ŋu, zu level-k kple cognitive hierarchy ƒe nɔnɔme siwo ɖe ale si amewo bua susuɖeɖewo ŋu fia [4][7]. Gazeti ƒe game siwo do ɖe megbe, kple xleɖela akpe geɖe le wo dometɔ ɖesiaɖe me, ɖe taɖoƒe mawo le 33 kple 22 fia, kple amewo siwo tia 0 alo 1 [2].
Nu ka game sia ate ŋu aɖe fia, eye nu ka mate ŋu aɖe fia o
Wò dzidzeme ɖe ŋuɖoɖo ɖeka le game ɖeka me ko ŋu. Menye nunya ƒe ɖɔɖɔnu o, eye dzidzeme si kɔ ŋutɔ menye nyo wu o: ame si ɖea amewo ƒe nɔnɔme ŋuɖoɖo gɔme wu la wua, eye amewo ƒe nɔnɔme zua taɖoƒe ɖeka alo eve ko. Dzidzeme 4 ƒe ŋuɖoɖo nye susuɖeɖe nyui, gake zi geɖe wòana ŋuɖoɖo la nayi nyagbe la te.
Ame siwo le game sia me nye ame siwo va le kwasiɖa ma me, menye ɖoɖo si me ameawo trɔ o, eya ta nyagbe la trɔna le kwasiɖa ɖesiaɖe me. Game siwo nyo ŋutɔ la zã ɖoɖo siwo to vovo vi: Financial Times ɖe nɔmba si menye afakpa o ko dzi mɔ, eye Politiken kple Spektrum mɔ be woazã afakpa hã [2][3].
Biabia siwo amewo bia zi geɖe
Ŋuɖoɖo kae nye nàbu 2/3 le ƒeƒe ƒe ƒeɖeɖe me?
Bu 2/3 le ƒeƒe ƒe ƒeɖeɖe me la, ŋuɖoɖo si ɖo ɖe edzi le ɖoɖo me aɖeke mele o. Game theory gblɔ be 0, elabena nuteƒewɔla ɖesiaɖe ate ŋu abu nɔmba si le ame bubuwo tɔ te. Gake amewo le nyateƒe me tsɔa susuɖeɖe taɖoƒe ɖeka alo eve ko, eya ta le game siwo woɖe ɖe go me la, nɔmba si wula nɔ 13 kple 21.6 dome [2][3]. Ŋuɖoɖo nyui la nye 2/3 le nɔmba si nèbu be ame bubuwo abua ƒe ƒeɖeɖe me.
Nu ka ta 0 mewua o?
0 awu ko ne ameawo ƒe geɖe bu nu va se ɖe nuwuwu. Le game siwo nyo ŋutɔ me la, ame geɖe tia 33 alo 22, eye ame aɖewo tia nɔmba gãwo, esia kɔa ƒeɖeɖe la ɖe dzi. Le Financial Times ƒe game me, ƒeɖeɖe nye 18.9 eye nyagbe nye 12.6, si didi ɖe 0 ŋu [2].
Nukae ‘dzidzeme 2 ƒe susuɖela’ fia?
Dzidzeme 2 ƒe susuɖela bu be ame bubuwo abu taɖoƒe ɖeka ŋgɔ (woatia 33 ƒe kaba), eye wò bu taɖoƒe bubu ɖeka ŋgɔ: 2/3 le 33 nye 22 ƒe kaba. Le Helibrain ƒe game me, wò dzidzeme nye taɖoƒe si le dzidzeme ƒe mɔdzi (50, 33, 22, 15, 10) si wò ŋuɖoɖo te ɖe edzi wu [1].
Mate ŋu azã game la zi geɖe?
Ee, gake wò ŋuɖoɖo gbãtɔ ko le kwasiɖa ɖesiaɖe me woatsɔ ade round la me. Woɖea ŋuɖoɖo siwo nèɖo le megbe hã fia le dzidzeme ƒe mɔdzi la dzi, gake wo mele ŋu o, eya ta ame aɖeke mate ŋu atrɔ ŋuɖoɖo la to nɔmba geɖe ƒe ɖoɖo me o. Round yeye dzea egɔme le fiẽɖa ɖesiaɖe.
Helibrain 2/3 ƒe game le xɔxɔme faa?
Ee. Helibrain 2/3 ƒe game kple ɣleti sia ɣleti ƒe ŋuɖoɖowo katã le xɔxɔme: míebi be nàŋlɔ ŋkɔ o, imeil o, ga o. Helibrain xɔa ga tso eƒe app si si plan si le xɔxɔme kple plan siwo wòle be nàxe; mèhiã app la be nàwɔ game la o.
Kpɔɖeŋu bubu siwo do ƒome
- Balloon ƒe afɔkpa gameAle si nèkpɔa afɔkpa, esi pump ɖesiaɖe naa ga, gake pump ɖesiaɖe ate ŋu aɖe balloon la
- Kadi ƒe akpa ene gameAle si nènyaa kaba be nɔnɔme kae naa vi, ne sewo ɣla
- Nɔnɔmetata ƒe susuɖeɖe kpɔɖeŋuAle si nèkpɔa se siwo le nɔnɔmetata me, eye nèzãa wo
Kpɔ dziŋusẽ ƒe kpɔɖeŋu bɔbɔe 43 katã
Èdi be nàwɔ esia ŋu gbe sia gbea? Helibrain ƒe app (si le English me fifia) si xɔ asi o kple plan siwo wòaxɔ
Dɔ axa sia ƒe ŋkɔ abe tsoƒe ene: Bu 2/3 le ƒeƒe ƒe ƒeɖeɖe me. Helibrain. 2026. https://helibrain.com/ee/guess-two-thirds-of-the-average. CC BY 4.0.
How this test works
This is a weekly strategy game. Pick a whole number from 0 to 100. When the week ends, everyone's guesses are averaged, and the winner is whoever comes closest to two thirds of that average. Right after you guess, you see how many steps ahead of other players your number suggests, and how it would have done in famous contests. Economists first ran this game as a lab experiment in 1995.
Version 1 · Cite this test:
Helibrain (2026). Guess 2/3 of the average, v1. https://helibrain.com/guess-two-thirds-of-the-average/methods
Nyatakakawo
- Nagel R (1995). Unraveling in guessing games: an experimental study. American Economic Review 85(5):1313–1326. www.jstor.org/stable/2950991
- Bosch-Domènech A, Montalvo JG, Nagel R, Satorra A (2002). One, two, (three), infinity, …: newspaper and lab beauty-contest experiments. American Economic Review 92(5):1687–1701. doi.org/10.1257/000282802762024737 (nɔmba si tso 1999 ƒe dɔwɔwɔ si woɖe ɖe go haɖe: econ-papers.upf.edu/papers/438.pdf)
- Schou A (2005). Gæt-et-tal konkurrence afslører at vi er irrationelle. Politiken, 22 September 2005. politiken.dk/oekonomi/art5698526
- Camerer CF, Ho T-H, Chong J-K (2004). A cognitive hierarchy model of games. Quarterly Journal of Economics 119(3):861–898. doi.org/10.1162/0033553041502225
- Quealy K (2015). How readers fared in Upshot's number puzzle. The New York Times, 20 August 2015. www.nytimes.com/2015/08/21/upshot/how-readers-fared-in-upshots-number-puzzle.html
- Keynes JM (1936). The General Theory of Employment, Interest and Money, chapter 12. London: Macmillan.
- Stahl DO, Wilson PW (1995). On players' models of other players: theory and experimental evidence. Games and Economic Behavior 10(1):218–254. doi.org/10.1006/game.1995.1031
Ale si míewɔ axa sia: Helibrain ƒe dɔwɔlawo ŋlɔe le nuŋlɔɖi siwo le etsɔme la dzi, eye Robert(English) (biophysics ƒe PhD ɖekakpui) gasɔe kpɔ le adeɛmekpɔxe 4 lia 2026. Míele eŋu trɔm ne nuŋlɔɖiwo trɔ.