{"id":884735,"date":"2020-03-24T17:31:52","date_gmt":"2020-03-24T15:31:52","guid":{"rendered":"https:\/\/pokeriomokykla.com\/gto-v-pokri-a-mimo-neho-nashova-rovnovaha"},"modified":"2025-04-28T23:30:51","modified_gmt":"2025-04-28T21:30:51","slug":"gto-v-pokri-a-mimo-neho-nashova-rovnovaha","status":"publish","type":"post","link":"https:\/\/pokeriomokykla.com\/sk\/originalne-gto-poker","title":{"rendered":"GTO v pokri a mimo neho: Nash Equilibrium"},"content":{"rendered":"<figure class=\"wp-block-image aligncenter\"><img decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/pokeriomokykla.com\/app\/uploads\/2020\/03\/Gto-pokeryje.png\" alt=\"Pokeris GTO\" class=\"wp-image-761411\" srcset=\"https:\/\/pokeriomokykla.com\/app\/uploads\/2020\/03\/Gto-pokeryje.png 1024w, https:\/\/pokeriomokykla.com\/app\/uploads\/2020\/03\/Gto-pokeryje-300x169.png 300w, https:\/\/pokeriomokykla.com\/app\/uploads\/2020\/03\/Gto-pokeryje-768px-432px.png 768w, https:\/\/pokeriomokykla.com\/app\/uploads\/2020\/03\/Gto-pokeryje-320px-180px.png 320w, https:\/\/pokeriomokykla.com\/app\/uploads\/2020\/03\/Gto-pokeryje-120px-68px.png 120w, https:\/\/pokeriomokykla.com\/app\/uploads\/2020\/03\/Gto-pokeryje-336px-188px.png 336w, https:\/\/pokeriomokykla.com\/app\/uploads\/2020\/03\/Gto-pokeryje-213px-120px.png 213w, https:\/\/pokeriomokykla.com\/app\/uploads\/2020\/03\/Gto-pokeryje-700px-394px.png 700w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/p>\n<p>Te\u00f3ria hier je s\u00fa\u010das\u0165ou matematick\u00fdch vied. Hry v tomto pr\u00edpade maj\u00fa ve\u013emi \u0161irok\u00fd v\u00fdznam. V podstate ide o te\u00f3riu analyzuj\u00facu ak\u00e9ko\u013evek situ\u00e1cie, v ktor\u00fdch racion\u00e1lni akt\u00e9ri (zvy\u010dajne \u013eudia) konaj\u00fa pod\u013ea stanovenej (alebo predv\u00eddate\u013enej) strat\u00e9gie. U\u017e z tejto defin\u00edcie nie je \u0165a\u017ek\u00e9 ur\u010di\u0165 aplik\u00e1ciu <a href=\"https:\/\/pokeriomokykla.com\/pokerio-teorija-kaip-turetumete-galvoti-apie-zaidima\" target=\"_blank\" rel=\"noopener\">GTO konceptov v pokri<\/a>.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 ez-toc-wrap-left counter-hierarchy ez-toc-counter ez-toc-custom ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Obsah<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/pokeriomokykla.com\/sk\/originalne-gto-poker\/#TOP_pokerove_herne\" >TOP pokerov\u00e9 herne<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/pokeriomokykla.com\/sk\/originalne-gto-poker\/#GTO_v_pokri_%E2%80%93_Nash_equilibrium\" >GTO v pokri &#8211; Nash equilibrium<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/pokeriomokykla.com\/sk\/originalne-gto-poker\/#GTO_a_Nash_Equilibrium_myty\" >GTO a Nash Equilibrium m\u00fdty<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/pokeriomokykla.com\/sk\/originalne-gto-poker\/#GTO_v_pokri_%E2%80%93_Prepocitanie_Nashovej_rovnovahy\" >GTO v pokri &#8211; Prepo\u010d\u00edtanie Nashovej rovnov\u00e1hy<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/pokeriomokykla.com\/sk\/originalne-gto-poker\/#Najlepsie_pokerove_miestnosti_online\" >Najlep\u0161ie pokerov\u00e9 miestnosti online<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"TOP_pokerove_herne\"><\/span>TOP pokerov\u00e9 herne<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n<div class='widget-card placeholder--card'\n     data-source-gql='https:\/\/scg-new-live.stellate.sh\/'\n     data-source-widgetjs='https:\/\/widget.affprojects.com\/widget.js'\n     data-shortcode='widget-card'\n     data-shortcode-text='[top-poker-rooms-for-post]'\n     data-props='{\n\"show_more_button\":true,\n\"show_more_button_text\":\"Show More Bookmakers\",\n\"show_more_text\":false,\n\"show_less_text\":false,\n\"vpn_notification\":false,\n\"show_more_items_amount\":null,\n\"scrollable\":\"always\",\n\"violet_bonus_text\":true,\n\"ab_testing_show_more_button_rework\":true\n}'\n     data-queries='{\n\"type\":\"TOP-Poker\",\n\"limit\":10,\n\"mobile_limit\":10,\n\"show_new\":1,\n\"button_text_type\":\"TOP\",\n\"language\":\"sk\",\n\"project\":\"PM\",\n\"page\":1\n}'\n     ><\/div>\n\n<p>Jedn\u00fdm z najzn\u00e1mej\u0161\u00edch a najd\u00f4le\u017eitej\u0161\u00edch princ\u00edpov v te\u00f3rii hier pokru je Nashova rovnov\u00e1ha (alebo Nash equilibrium). Mnoh\u00ed pokerov\u00ed hr\u00e1\u010di tento pojem poznaj\u00fa len z tabuliek, ktor\u00e9 s\u00fa Push\/Fold All in preflop.<\/p>\n<p>V t\u00fdchto tabu\u013ek\u00e1ch je zvy\u010dajne uveden\u00e9, pri ko\u013ek\u00fdch BB <i>je mo\u017en\u00e9<\/i> strie\u013ea\u0165 alebo callova\u0165 All in proti jedn\u00e9mu hr\u00e1\u010dovi. Samozrejme, tak\u00e9to tabu\u013eky je mo\u017en\u00e9 zostavi\u0165 aj pre v\u00e4\u010d\u0161\u00ed po\u010det hr\u00e1\u010dov, ale zvy\u010dajne to nie je tak\u00e9 jednoduch\u00e9 (a u\u017eito\u010dn\u00e9).<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"GTO_v_pokri_%E2%80%93_Nash_equilibrium\"><\/span>GTO v pokri &#8211; Nash equilibrium<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Nashova rovnov\u00e1ha sa najsk\u00f4r objavila v pokri vo forme dobre zn\u00e1mych \u201c<a href=\"https:\/\/www.holdemresources.net\/hune\" target=\"_blank\" rel=\"nofollow noopener\">preflop All in<\/a>\u201d tabuliek, preto\u017ee je to naj\u013eah\u0161ie vypo\u010d\u00edtate\u013en\u00fd stav v hre. \u010c\u00edm menej \u017eet\u00f3nov a hr\u00e1\u010dov zost\u00e1va, t\u00fdm menej mo\u017en\u00fdch rozhodnut\u00ed (teoreticky) m\u00f4\u017ee ka\u017ed\u00fd z nich uskuto\u010dni\u0165.<\/p>\n<p>Na lep\u0161ie pochopenie, ako vznikol tento v\u00fdpo\u010det situ\u00e1cie, je potrebn\u00e9 pochopi\u0165, ak\u00fd stav sa pova\u017euje za Nashovu rovnov\u00e1hu. Nash equilibrium je stav hry, ktor\u00fd sa dosiahne, ke\u010f existuj\u00fa tieto podmienky:<\/p>\n<ol class=\"wp-block-list\">\n<li>S\u00fa aspo\u0148 dvaja hr\u00e1\u010di.<\/li>\n<li>Hr\u00e1 sa nekooperat\u00edvna hra (tak\u00e1, v ktorej hr\u00e1\u010di m\u00f4\u017eu nie\u010do vyhra\u0165 na \u00fakor in\u00fdch).<\/li>\n<li>S\u00fa zn\u00e1me strat\u00e9gie v\u0161etk\u00fdch hr\u00e1\u010dov.<\/li>\n<li>S\u00fa vytvoren\u00e9 tak\u00e9 strat\u00e9gie, \u017ee \u017eiadny hr\u00e1\u010d nem\u00f4\u017ee vyhra\u0165 viac zmenou len svojej strat\u00e9gie.<\/li>\n<\/ol>\n<p>\u0160tvrt\u00fd bod je v tomto pr\u00edpade najd\u00f4le\u017eitej\u0161\u00ed. Nashova rovnov\u00e1ha opisuje tak\u00fa strat\u00e9giu, v ktorej v\u0161etci hr\u00e1\u010di hraj\u00fa optim\u00e1lne. V pokerov\u00fdch term\u00ednoch je to tak\u00fd pl\u00e1n akci\u00ed, \u017ee zmenou len jeho nie je mo\u017en\u00e9 vyhra\u0165 viac EV.<\/p>\n<p>V pr\u00edpade pokru by Nash Equilibrium znamenalo 0 EV pre v\u0161etk\u00fdch hr\u00e1\u010dov.<\/p>\n<figure class=\"wp-block-image aligncenter GTO pavyzdys ne pokeryje wp-image-761414 size-full\"><img decoding=\"async\" width=\"938\" height=\"405\" src=\"https:\/\/pokeriomokykla.com\/app\/uploads\/2020\/03\/GTO-pavyzdys.png\" alt=\"GTO pavyzdys ne pokeryje\" class=\"wp-image-761414\" srcset=\"https:\/\/pokeriomokykla.com\/app\/uploads\/2020\/03\/GTO-pavyzdys.png 938w, https:\/\/pokeriomokykla.com\/app\/uploads\/2020\/03\/GTO-pavyzdys-300x130.png 300w, https:\/\/pokeriomokykla.com\/app\/uploads\/2020\/03\/GTO-pavyzdys-768px-332px.png 768w, https:\/\/pokeriomokykla.com\/app\/uploads\/2020\/03\/GTO-pavyzdys-278px-120px.png 278w, https:\/\/pokeriomokykla.com\/app\/uploads\/2020\/03\/GTO-pavyzdys-700px-302px.png 700w\" sizes=\"(max-width: 938px) 100vw, 938px\" \/><figcaption class=\"wp-element-caption\">V\u00e4z\u0148ova dilema &#8211; naj\u010dastej\u0161\u00ed pr\u00edklad te\u00f3rie hier<\/figcaption><\/figure>\n<p><a href=\"https:\/\/www.britannica.com\/biography\/John-Nash\" target=\"_blank\" rel=\"noopener\">John Forbes Nash<\/a>, objavite\u013e tejto rovnov\u00e1hy, dok\u00e1zal jeden ve\u013emi d\u00f4le\u017eit\u00fd jav &#8211; te\u00f3riu existencie Nashovej rovnov\u00e1hy. T\u00e1to veta tvrd\u00ed, \u017ee Nash Equilibrium je mo\u017en\u00e9 n\u00e1js\u0165 vo v\u0161etk\u00fdch hr\u00e1ch, v ktor\u00fdch po\u010det rozhodnut\u00ed nie je nekone\u010dn\u00fd a v\u00fdhry koreluj\u00fa s akciami hr\u00e1\u010dov (alebo poskytuj\u00fa podnet na vytvorenie nejakej strat\u00e9gie zalo\u017eenej na princ\u00edpoch).<\/p>\n<p>To znamen\u00e1, \u017ee Nash Equilibrium existuje nielen v tabu\u013ek\u00e1ch, ale aj v celej pokerovej hre od preflopu a\u017e po posledn\u00e9 rozhodnutie na riveri. Pre ka\u017ed\u00fa pokerov\u00fa strat\u00e9giu, ktor\u00e1 m\u00e1 aspo\u0148 jedno pravidlo, existuje GTO rie\u0161enie, ktor\u00e9 by sa prejavilo ako jednostrann\u00e1 Nashova rovnov\u00e1ha. H\u013eadanie tak\u00fdchto Game Theory Optimal pokerov\u00fdch rie\u0161en\u00ed sa budeme venova\u0165 v \u010fal\u0161ej \u010dasti tohto \u010dl\u00e1nku.<\/p>\n<p>Tak\u00e9to strat\u00e9gie u\u017e je mo\u017en\u00e9 objavi\u0165 pomocou pon\u00fakan\u00fdch solverov. Tak\u017ee GTO nie je len pre \u201ctop top regov\u201d.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"GTO_a_Nash_Equilibrium_myty\"><\/span>GTO a Nash Equilibrium m\u00fdty<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Ako bolo nap\u00edsan\u00e9 sk\u00f4r, o Nash Equilibrium v pokri sa naj\u010dastej\u0161ie dozvieme len pri diskusii o preflop tabu\u013ek\u00e1ch, a GTO len pri diskusii o solveroch alebo ako o nejakej ve\u013emi vzdialenej a abstraktnej strat\u00e9gii. V skuto\u010dnosti s\u00fa tieto koncepty aplikovate\u013en\u00e9 na v\u0161etky \u00farovne pokru.<\/p>\n<p>Pre\u010do boli najprv vytvoren\u00e9 Nashove tabu\u013eky pred za\u010diatkom tvorby a diskusie o zlo\u017eitej\u0161\u00edch GTO strat\u00e9gi\u00e1ch? Najprv, ako je dobre zn\u00e1me, tieto tabu\u013eky s\u00fa najlep\u0161ie aplikovate\u013en\u00e9 pri ve\u013emi n\u00edzkych efekt\u00edvnych stack size.<\/p>\n<p>\u010c\u00edm menej \u017eet\u00f3nov, t\u00fdm menej mo\u017enost\u00ed pred aj po flopu. K tomuto d\u00f4vodu prispieva aj d\u00f4le\u017eitos\u0165 postflopu pri deep stacku. Mnoh\u00ed hr\u00e1\u010di nemaj\u00fa radi open shovovanie AA pri ka\u017edej pr\u00edle\u017eitosti.<\/p>\n<p>Po druh\u00e9, ove\u013ea d\u00f4le\u017eitej\u0161\u00edm d\u00f4vodom je zjednodu\u0161enie hry. Nashova rovnov\u00e1ha vy\u017eaduje pochopenie aspo\u0148 jednej strat\u00e9gie hr\u00e1\u010da <i>\u00faplne<\/i>, \u010do v mnoh\u00fdch pokerov\u00fdch situ\u00e1ci\u00e1ch nie je realistick\u00e9. Mnoh\u00ed rekrea\u010dn\u00ed hr\u00e1\u010di pravdepodobne maj\u00fa len z\u00e1klady strat\u00e9gie namiesto racion\u00e1lnych pravidiel hry. Z tohto d\u00f4vodu bolo mo\u017en\u00e9 dosiahnu\u0165 <a href=\"https:\/\/pokeriomokykla.com\/cash-games-pradmenys-pokerio-mokykloje\" target=\"_blank\" rel=\"noopener\">Nashovu rovnov\u00e1hu v pokri<\/a> len zjednodu\u0161en\u00edm hry.<\/p>\n<p>GTO solvery a in\u00e9 modern\u00e9 programy umo\u017e\u0148uj\u00fa vypo\u010d\u00edta\u0165 strat\u00e9giu, ktor\u00e1 sa bl\u00ed\u017ei k Nashovej rovnov\u00e1he. Najlep\u0161ie solvery, pravda, st\u00e1le nedosahuj\u00fa dokonalos\u0165, ale pre mnoh\u00fdch hr\u00e1\u010dov to nie je d\u00f4le\u017eit\u00e9. Priemern\u00e1 exploitabilita na pot nepresahuje 0,1%, tak\u017ee v pokerovej praxi to ni\u010d neznamen\u00e1, preto\u017ee hr\u00e1\u010di nebud\u00fa schopn\u00ed zapam\u00e4ta\u0165 si v\u0161etky mo\u017en\u00e9 GTO strat\u00e9gie.<\/p>\n<p>Najd\u00f4le\u017eitej\u0161\u00ed praktick\u00fd a teoretick\u00fd aspekt GTO a solverov je formul\u00e1cia dokonalej kontrastrat\u00e9gie. Pre ak\u00fako\u013evek pokerov\u00fa strat\u00e9giu je mo\u017en\u00e9 n\u00e1js\u0165 optim\u00e1lnu, maxim\u00e1lne EV strat\u00e9giu. T\u00e1to strat\u00e9gia bude maxim\u00e1lne ziskov\u00e1, k\u00fdm ju in\u00fd hr\u00e1\u010d nezmen\u00ed.<\/p>\n<figure class=\"wp-block-image aligncenter Pokerio GTO solverio pavyzdys wp-image-761413 size-full\"><img decoding=\"async\" width=\"1024\" height=\"656\" src=\"https:\/\/pokeriomokykla.com\/app\/uploads\/2020\/03\/Gto-Solveris.jpg\" alt=\"Pokerio GTO solverio pavyzdys\" class=\"wp-image-761413\" srcset=\"https:\/\/pokeriomokykla.com\/app\/uploads\/2020\/03\/Gto-Solveris.jpg 1024w, https:\/\/pokeriomokykla.com\/app\/uploads\/2020\/03\/Gto-Solveris-300x192.jpg 300w, https:\/\/pokeriomokykla.com\/app\/uploads\/2020\/03\/Gto-Solveris-768px-492px.jpg 768w, https:\/\/pokeriomokykla.com\/app\/uploads\/2020\/03\/Gto-Solveris-187px-120px.jpg 187w, https:\/\/pokeriomokykla.com\/app\/uploads\/2020\/03\/Gto-Solveris-700px-448px.jpg 700w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">Pr\u00edklad pokerov\u00e9ho GTO solvera<\/figcaption><\/figure>\n<p>Samozrejme, na za\u010datie aj t\u00fdch najjednoduch\u0161\u00edch optim\u00e1lnych strat\u00e9gi\u00ed je potrebn\u00e9 vedie\u0165 o \u0161t\u00fdle hry oponenta. Najlep\u0161ie by bolo pozna\u0165 konkr\u00e9tne pravidl\u00e1, preto\u017ee tie m\u00f4\u017eu ve\u013emi silno ovplyvni\u0165 kone\u010dn\u00fd v\u00fdsledok.<\/p>\n<p>Napr\u00edklad, ak by sme mali dvoch hr\u00e1\u010dov, jedn\u00e9ho, ktor\u00fd in position 100% flopuje top pair a cbettuje \u00bd pot size, a druh\u00e9ho, ktor\u00fd in position betuje len 50% flopov cbet (s lep\u0161\u00edmi kickermi), aj ke\u010f v\u0161etky ostatn\u00e9 ich pravidl\u00e1 hry bud\u00fa identick\u00e9, optim\u00e1lne strat\u00e9gie sa bud\u00fa v\u00fdrazne l\u00ed\u0161i\u0165.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"GTO_v_pokri_%E2%80%93_Prepocitanie_Nashovej_rovnovahy\"><\/span>GTO v pokri &#8211; Prepo\u010d\u00edtanie Nashovej rovnov\u00e1hy<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Jednou z najd\u00f4le\u017eitej\u0161\u00edch viet, ktor\u00e9 sa prid\u00e1vaj\u00fa k v\u0161etk\u00fdm t\u00fdmto Nashov\u00fdm tabu\u013ek\u00e1m, je, \u017ee ide o zjednodu\u0161en\u00fa pokerov\u00fa hru. V nej m\u00f4\u017ee Small Blind vykona\u0165 len All in alebo Fold, a Big Blind m\u00f4\u017ee len Call alebo Fold.<\/p>\n<p>Hr\u00e1\u010di nem\u00f4\u017eu vykona\u0165 \u017eiadne in\u00e9 akcie ako Raise a nikdy nem\u00f4\u017eu \u00eds\u0165 na postflop. To je hlavn\u00fd d\u00f4vod, pre\u010do sa v t\u00fdchto tabu\u013ek\u00e1ch v\u017edy zobrazuj\u00fa Small Blind All in 20+ BB alebo dokonca vy\u0161\u0161ie rozhodnutia, aj ke\u010f v praxi sa zvy\u010dajne nepou\u017e\u00edvaj\u00fa.<\/p>\n<p>Napokon, mnoh\u00e9 z t\u00fdchto tabuliek a rozhodnut\u00ed s\u00fa vytvoren\u00e9 na z\u00e1klade v\u00fdpo\u010dtov z knihy Mathematics of Poker. Na rozdiel od toho, \u010do si mnoh\u00ed hr\u00e1\u010di myslia, tieto tabu\u013eky by sme nemali slepo aplikova\u0165 na svoju hru, preto\u017ee my, najm\u00e4 proti rekrea\u010dn\u00fdm hr\u00e1\u010dom, nikdy touto tabu\u013ekou nedosiahneme po\u017eadovan\u00fa Nashovu rovnov\u00e1hu.<\/p>\n<p>Ve\u013emi jednoduch\u00fd, ale situ\u00e1ciu dobre ilustruj\u00faci pr\u00edklad &#8211; hr\u00e1\u010d, ktor\u00fd shovuje ak\u00e9ko\u013evek dve karty 25 BB deep. V takom pr\u00edpade by tabu\u013eky neboli ani bl\u00edzko Nashovej rovnov\u00e1hy ani bl\u00edzko maxim\u00e1lneho EV, preto\u017ee optim\u00e1lna strat\u00e9gia by bola in\u00e1.<\/p>\n<p>Optim\u00e1lna strat\u00e9gia by umo\u017enila callova\u0165 \u0161ir\u0161ie, preto\u017ee Small Blind by strie\u013eal ove\u013ea viac slab\u00fdch r\u00fak, ne\u017e je uveden\u00e9 v rie\u0161eniach.<\/p>\n<h3 class=\"wp-block-heading\">Zmeny Nashovej rovnov\u00e1hy<\/h3>\n<p>Samozrejme, v skuto\u010dnosti bude ove\u013ea viac drobn\u00fdch odch\u00fdlok od strat\u00e9gie op\u00edsanej v tabu\u013ek\u00e1ch. Spin n Go a HUSNG hr\u00e1\u010di vedia, \u017ee v rozmedz\u00ed 14-9 BB sa Heads Up hr\u00e1 ve\u013emi odli\u0161ne. Niektor\u00ed s\u00faperi bud\u00fa ve\u013ea limpova\u0165, niektor\u00ed bud\u00fa ma\u0165 viac minraise vo svojich rozsahoch a tak \u010falej.<\/p>\n<p>V d\u00f4sledku t\u00fdchto rozdielov sa v\u017edy, pomerne v\u00fdrazne, bude l\u00ed\u0161i\u0165 najoptim\u00e1lnej\u0161\u00ed shove\/fold range, preto by ste mali v\u017edy prehodnoti\u0165 tak\u00e9to situ\u00e1cie v ICMizer, najm\u00e4 z perspekt\u00edvy BB. Samozrejme, v situ\u00e1ci\u00e1ch, kde sa hr\u00e1\u010d stretne len raz, m\u00f4\u017ee by\u0165 potrebn\u00e9 spolieha\u0165 sa na intu\u00edciu alebo in\u00e9 zjednodu\u0161enia situ\u00e1cie.<\/p>\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-4-3 wp-has-aspect-ratio\">\n<div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Comparing Nash Heads Up Ranges Versus The Population\" width=\"640\" height=\"480\" src=\"https:\/\/www.youtube.com\/embed\/xnBlnLLq8Ks?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div>\n<\/figure>\n<p>Je to ve\u013emi star\u00e9 video o zmen\u00e1ch Nash, ale dokonale ilustruje, ako by sa mala meni\u0165 optim\u00e1lna hra.<\/p>\n<p>Spolieha\u0165 sa na push\/fold tabu\u013eky je mo\u017en\u00e9, ke\u010f sa hra bl\u00ed\u017ei k 1 BB effective stacku, preto\u017ee v\u0161etky mo\u017en\u00e9 strat\u00e9gie sa bl\u00ed\u017eia k Nash Equilibrium. Okrem strat\u00e9gie \u201ev\u0161etko fold\u201c, v\u00e4\u010d\u0161ina strat\u00e9gi\u00ed pri 2, 3, 4 alebo 5 big blindoch bude takmer identick\u00e1 alebo sa bude l\u00ed\u0161i\u0165 ve\u013emi nepatrne.<\/p>\n<p>Tak\u017ee v tomto \u010dl\u00e1nku sme prebrali z\u00e1klady GTO v pokri a najzn\u00e1mej\u0161\u00ed koncept tejto te\u00f3rie Nash Equilibrium. V \u010fal\u0161\u00edch \u010dl\u00e1nkoch sa viac zameriame na h\u013eadanie optim\u00e1lnej strat\u00e9gie a princ\u00edpy fungovania solverov.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Najlepsie_pokerove_miestnosti_online\"><\/span>Najlep\u0161ie pokerov\u00e9 miestnosti online<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n<div class='widget-card placeholder--card'\n     data-source-gql='https:\/\/scg-new-live.stellate.sh\/'\n     data-source-widgetjs='https:\/\/widget.affprojects.com\/widget.js'\n     data-shortcode='widget-card'\n     data-shortcode-text='[top-poker-rooms-for-post]'\n     data-props='{\n\"show_more_button\":true,\n\"show_more_button_text\":\"Show More Bookmakers\",\n\"show_more_text\":false,\n\"show_less_text\":false,\n\"vpn_notification\":false,\n\"show_more_items_amount\":null,\n\"scrollable\":\"always\",\n\"violet_bonus_text\":true,\n\"ab_testing_show_more_button_rework\":true\n}'\n     data-queries='{\n\"type\":\"TOP-Poker\",\n\"limit\":10,\n\"mobile_limit\":10,\n\"show_new\":1,\n\"button_text_type\":\"TOP\",\n\"language\":\"sk\",\n\"project\":\"PM\",\n\"page\":1\n}'\n     ><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Te\u00f3ria hier je s\u00fa\u010das\u0165ou matematick\u00fdch vied. Hry v tomto pr\u00edpade&#8230;<\/p>\n","protected":false},"author":4481,"featured_media":761411,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[8496,7374,1],"tags":[],"class_list":["post-884735","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-poker-stratejisi","category-pokerova-strategia","category-uncategorized-lt"],"acf":[],"_links":{"self":[{"href":"https:\/\/pokeriomokykla.com\/sk\/wp-json\/wp\/v2\/posts\/884735","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pokeriomokykla.com\/sk\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pokeriomokykla.com\/sk\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pokeriomokykla.com\/sk\/wp-json\/wp\/v2\/users\/4481"}],"replies":[{"embeddable":true,"href":"https:\/\/pokeriomokykla.com\/sk\/wp-json\/wp\/v2\/comments?post=884735"}],"version-history":[{"count":4,"href":"https:\/\/pokeriomokykla.com\/sk\/wp-json\/wp\/v2\/posts\/884735\/revisions"}],"predecessor-version":[{"id":1094270,"href":"https:\/\/pokeriomokykla.com\/sk\/wp-json\/wp\/v2\/posts\/884735\/revisions\/1094270"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/pokeriomokykla.com\/sk\/wp-json\/wp\/v2\/media\/761411"}],"wp:attachment":[{"href":"https:\/\/pokeriomokykla.com\/sk\/wp-json\/wp\/v2\/media?parent=884735"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pokeriomokykla.com\/sk\/wp-json\/wp\/v2\/categories?post=884735"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pokeriomokykla.com\/sk\/wp-json\/wp\/v2\/tags?post=884735"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}