{"id":3399,"date":"2024-02-11T18:41:56","date_gmt":"2024-02-11T18:41:56","guid":{"rendered":"https:\/\/crashxbet.com\/?p=3399"},"modified":"2026-01-08T23:43:47","modified_gmt":"2026-01-08T23:43:47","slug":"kelly-criterion-crash-gambling","status":"publish","type":"post","link":"https:\/\/crashxbet.com\/de\/kelly-criterion-crash-gambling\/","title":{"rendered":"The Kelly Criterion in Crash Gambling"},"content":{"rendered":"<p class=\"wp-block-paragraph\">Das Kelly-Kriterium ist eine clevere Methode, um zu entscheiden, wie viel Geld Sie setzen sollten. Es hilft Ihnen, genau den richtigen Betrag zu setzen, um Ihr Geld stetig zu vermehren, ohne das Risiko einzugehen, alles zu verlieren. Betrachten Sie es als Ihren Leitfaden f\u00fcr kluges Wetten. Es ist bei Wettenden und Investoren sehr beliebt, um die Risiken gering zu halten.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Die grundlegende Formel des Kelly-Kriteriums lautet:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\ud835\udc53\u2217=(\ud835\udc4f*\ud835\udc5d\u2212\ud835\udc5e)\/\ud835\udc4f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Wo:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\ud835\udc53\u2217 ist der Anteil des Spielkapitals, der eingesetzt werden soll;<\/li>\n\n\n\n<li>\ud835\udc4f ist die Nettoquote f\u00fcr die Wette;<\/li>\n\n\n\n<li>\ud835\udc5d ist die Gewinnwahrscheinlichkeit;<\/li>\n\n\n\n<li>\ud835\udc5e ist die Wahrscheinlichkeit zu verlieren, sie betr\u00e4gt 1\u2212\ud835\udc5d.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-interpretation\">Interpretation<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\ud835\udc53\u2217: Stellt den optimalen Anteil Ihres Guthabens dar, den Sie einsetzen sollten, um Ihr erwartetes Wachstum zu maximieren. Wenn das Ergebnis beispielsweise 0,25 betr\u00e4gt, bedeutet dies, dass Sie 25 % Ihres Guthabens einsetzen sollten.<\/li>\n\n\n\n<li><strong>\ud835\udc4f<\/strong>: Der mit der Wette verbundene Multiplikator minus 1. Wenn Sie beispielsweise bei einem Gewinn Ihr Geld verdoppeln k\u00f6nnten (2\u00a0$ zur\u00fcck f\u00fcr jeden Einsatz von 1\u00a0$, einschlie\u00dflich des urspr\u00fcnglichen Einsatzes), w\u00e4re \ud835\udc4f 1.<\/li>\n\n\n\n<li><strong>\ud835\udc5d<\/strong>: Ihre gesch\u00e4tzte Wahrscheinlichkeit, die Wette zu gewinnen. Dieser Wert muss zwischen 0 und 1 liegen, wobei 0,5 einer Gewinnchance von 50 % entspricht.<\/li>\n\n\n\n<li><strong>\ud835\udc5e<\/strong>: Die Wahrscheinlichkeit, die Wette zu verlieren, berechnet als 1\u2212\ud835\udc5d.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Kelly Bet Calculator<\/h2>\n\n\n\n<div style=\"max-width: 400px; margin-left: 0;\">\n        <label for=\"probability\">Probability of a Win (0 to 1):<\/label>\n        <input type=\"number\" id=\"probability\" placeholder=\"e.g., 0.6\" step=\"0.01\" min=\"0\" max=\"1\" style=\"width: 100%; margin: 5px 0\">\n\n        <label for=\"proportion\">Proportion of the Bet Gained with a Win:<\/label>\n        <input type=\"number\" id=\"proportion\" placeholder=\"e.g., 2\" step=\"0.01\" min=\"0\" style=\"width: 100%; margin: 5px 0\">\n        <div style=\"margin: 3px 0 10px 0; font-size: 12px; line-height: 1.2;\">\n            E.g., if betting $100 on a 2-to-1 odds bet (upon win you are returned $300, winning you $200), then b=$200\/$100=2.\n        <\/div>\n\n        <button id=\"calculate\">Calculate Bet Size<\/button>\n\n        <div id=\"output\" class=\"output\" style=\"margin: 5px 0\"><\/div>\n    <\/div>\n\n    <script>\n        (function() {\n            document.getElementById('calculate').addEventListener('click', () => {\n                const probability = parseFloat(document.getElementById('probability').value);\n                const proportion = parseFloat(document.getElementById('proportion').value);\n\n                const output = document.getElementById('output');\n\n                if (isNaN(probability) || isNaN(proportion) || probability < 0 || probability > 1 || proportion <= 0) {\n                    output.textContent = 'Please enter valid inputs.';\n                    return;\n                }\n\n                \/\/ Kelly Criterion formula: f* = p - (1 - p) \/ b\n                const optimalFraction = probability - ((1 - probability) \/ proportion);\n\n                if (optimalFraction <= 0) {\n                    output.textContent = 'The Kelly Criterion suggests not to bet in this scenario.';\n                } else {\n                    output.textContent = `Suggested bet size (as a fraction of bankroll): ${(optimalFraction * 100).toFixed(2)}%`;\n                }\n            });    \n        })()\n        \n    <\/script>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-how-to-use-it\">How to Use It<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Zugriff auf Ihre letzten 50 bis 100 Spiele<\/strong>: Am meisten <span data-no-translation=\"\" class=\"cbw-no-translate\">crash<\/span> Spiele haben eine Geschichte. Au\u00dferdem <a href=\"https:\/\/bcgame-project.github.io\/verify\/crash.html?hash=9455412a5e4b51b986ba71ab08eddee80678c905ecefc8d0051c79493f0037b2\" target=\"_blank\" rel=\"noreferrer noopener\">nachweislich fair<\/a> games give you full access to the game history and results. For example, third-party scripts are used to verify game on <a href=\"https:\/\/nanogamesio.github.io\/verify\/crash.html?hash=eedf311a3fdfb41cd4259aabf499c35c6131011b9e64117be99c46462d906756\" target=\"_blank\" rel=\"noreferrer noopener\"><span data-no-translation=\"\" class=\"cbw-no-translate\">NanoGames<\/span><\/a>.<\/li>\n\n\n\n<li><strong>Berechnen Sie Ihren Vorteil<\/strong>: Your \"edge\" is \ud835\udc4f*\ud835\udc5d\u2212\ud835\udc5e. If this value is positive, you have an advantage over the house or the market.<\/li>\n\n\n\n<li><strong>Bestimmen Sie die Einsatzgr\u00f6\u00dfe<\/strong>: Die Formel verr\u00e4t Ihnen den optimalen Anteil Ihres Guthabens, den Sie einsetzen sollten, um das Wachstum zu maximieren und das Risiko zu minimieren.<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">Applying this strategy manually requires diligence in tracking and calculating. But can offer insights into the game's patterns and your betting strategy's effectiveness.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-example\">Beispiel:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">If you're betting on a coin toss where you win double your bet for guessing right, and you somehow know the coin has a 51% chance of landing heads (which you bet on):<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\ud835\udc4f=1 (da Sie Ihr Geld bei einem Gewinn verdoppeln)<\/li>\n\n\n\n<li>\ud835\udc5d = 0,51<\/li>\n\n\n\n<li>\ud835\udc5e = 0,49<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Wenn man diese in die Kelly-Formel einsetzt, erh\u00e4lt man:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\ud835\udc53\u2217=(1)(0,51)\u22120,49=0,02<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Dieses Ergebnis legt nahe, dass Sie bei jedem Wurf 2 % Ihres Guthabens setzen sollten, um das Wachstum Ihres Guthabens im Laufe der Zeit zu maximieren und gleichzeitig das Risiko zu minimieren.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-important-considerations\">Wichtige \u00dcberlegungen:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Das Kelly-Kriterium geht davon aus, dass Sie Wahrscheinlichkeiten (\ud835\udc5d und \ud835\udc5e) genau sch\u00e4tzen k\u00f6nnen. \u00dcbersch\u00e4tzungen k\u00f6nnen das Risiko gro\u00dfer Verluste erh\u00f6hen.<\/li>\n\n\n\n<li>It's a long-term strategy. Short-term volatility can still result in significant drawdowns.<\/li>\n\n\n\n<li>Wenn Sie mehr setzen, als das Kelly-Kriterium vorgibt, steigt Ihr Risiko, einen gr\u00f6\u00dferen Teil Ihres Guthabens zu verlieren. Wenn Sie weniger setzen, verringert sich das Risiko, aber Ihr Guthaben w\u00e4chst auch langsamer.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-script-for-bc-game-s-crash\">Script f\u00fcr Crash<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Indem Sie Daten aus 50 Spielen sammeln, k\u00f6nnen Sie eine genauere Sch\u00e4tzung von \ud835\udc5d (der Gewinnwahrscheinlichkeit) und \ud835\udc5e (der Verlustwahrscheinlichkeit, die 1\u2212\ud835\udc5d betr\u00e4gt) berechnen. Diese Daten erm\u00f6glichen es Ihnen, Ihre Wettstrategie basierend auf historischen Ergebnissen zu verfeinern, wodurch Sie m\u00f6glicherweise die Pr\u00e4zision Ihrer Wetten verbessern und Ihr Bankroll-Management optimieren k\u00f6nnen.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Schritt 1: Spieldaten sammeln<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Sie w\u00fcrden mit dem Sammeln der Ergebnisse der letzten 50 Spiele beginnen (konfigurierbarer Parameter). In dieser Phase der Datensammlung wird verfolgt, ob jedes Spiel Ihren Zielmultiplikator erreicht, bevor es abst\u00fcrzt.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Schritt 2: Wahrscheinlichkeiten berechnen<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Sobald Sie die Spieldaten haben, berechnen Sie die Gewinnwahrscheinlichkeit (\ud835\udc5d), indem Sie die Anzahl der Spiele, die Ihren Zielmultiplikator erreicht oder \u00fcberschritten haben, durch die Gesamtzahl der beobachteten Spiele (in diesem Fall 50) teilen.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Schritt 3: Das Kelly-Kriterium anwenden<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Nachdem Sie \ud835\udc5d aus Ihren Daten berechnet haben und \ud835\udc5e=1\u2212\ud835\udc5d kennen, wenden Sie die Formel des Kelly-Kriteriums an, um den optimalen Anteil Ihres Guthabens zum Wetten zu bestimmen.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Script for Crash game on Nanogames<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">We collect game data during the game session. This approach takes some time but is more suitable if you're confident in the game's stability and wish to maximize the data available for analysis.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udd17 <a href=\"\/go\/download-script\/\" target=\"_blank\" rel=\"noreferrer noopener\">Skript herunterladen<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Um einen <span data-no-translation=\"\" class=\"cbw-no-translate\">Crash<\/span> Spielskript auf <a href=\"\/go\/nanogames\/\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">Nanogames<\/a>, folge diesen Schritten:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Go to Advanced Betting Mode: In the Crash, switch to \u201cAdvanced\u201d to see different <span data-no-translation=\"\" class=\"cbw-no-translate\">crash<\/span> Spielskripte.<\/li>\n\n\n\n<li>F\u00fcgen Sie ein Script hinzu: Dr\u00fccken Sie auf \u201eScript hinzuf\u00fcgen\u201c, geben Sie den Code ein, benennen Sie das Script und speichern Sie es.<\/li>\n\n\n\n<li>Script ausf\u00fchren: Aktivieren Sie das Script, um automatisch Wetten zu platzieren und m\u00f6glicherweise Ihre Kryptow\u00e4hrung zu erh\u00f6hen.<\/li>\n<\/ol>\n\n\n\n<details>\n  <summary><span style=\"text-decoration-style: dashed; text-decoration-line: underline; cursor: pointer;\">Learn how to add and use scripts<\/span><\/summary>\n  <figure class=\"wp-block-image size-large\"><a href=\"\/go\/nanogames\/\"><img decoding=\"async\" src=\"https:\/\/crashxbet.com\/wp-content\/uploads\/2023\/11\/bcgame-script-screencast-original.gif\" alt=\"How to add and use scripts\" class=\"wp-image-1276\" data-no-translation=\"\"\/><\/a><\/figure>\n<\/details>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-fe48e5de wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background wp-element-button\" href=\"\/go\/nanogames\/\" style=\"background-color:#17a10d\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">PLAY CRASH<\/a><\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Wichtige \u00dcberlegungen:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Genauigkeit von \ud835\udc5d<\/strong>: Die Genauigkeit der Gewinnwahrscheinlichkeit (\ud835\udc5d) wirkt sich direkt auf die Wirksamkeit des Kelly-Kriteriums bei der Optimierung Ihrer Einsatzgr\u00f6\u00dfe aus. Stellen Sie sicher, dass Ihre Datenerfassung und -analyse so genau wie m\u00f6glich sind.<\/li>\n\n\n\n<li><strong>Ver\u00e4nderte Dynamik<\/strong>: Der <span data-no-translation=\"\" class=\"cbw-no-translate\">crash<\/span> game's dynamics might change over time. Regularly update your data and recalibrate your strategy accordingly.<\/li>\n\n\n\n<li><strong>Risikomanagement<\/strong>: The Kelly Criterion helps manage risk, but it's based on the accuracy of your inputs (\ud835\udc5d and \ud835\udc5e). Always be cautious and consider setting aside a portion of your bankroll that is not at risk.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-summary\">Zusammenfassung<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Zusammenfassung der Diskussion \u00fcber die Verwendung des Kelly-Kriteriums und die Analyse der Spielhistorie f\u00fcr Wetten in einem <span data-no-translation=\"\" class=\"cbw-no-translate\">crash<\/span> game, the strategy indeed focuses on identifying situations where the probability of winning is deemed favorable based on historical data. By calculating the win probability (\ud835\udc5d) from recent game outcomes and applying the Kelly Criterion, the strategy aims to optimize bet sizes in scenarios where there's a perceived edge\u2014that is, where the chances of winning are higher relative to losses. Here's how it works:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Verstehen der Strategie<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Sammeln historischer Daten<\/strong>: You accumulate outcomes from a certain number of recent games to analyze the game's behavior. This dataset helps you understand the frequency of winning versus losing at your target multiplier.<\/li>\n\n\n\n<li><strong>Gewinnwahrscheinlichkeit berechnen (\ud835\udc5d)<\/strong>: Durch die Analyse der gesammelten Daten sch\u00e4tzen Sie die Wahrscheinlichkeit, dass ein Spiel Ihren Zielmultiplikator erreicht oder \u00fcbertrifft. Diese Gewinnwahrscheinlichkeit ist entscheidend daf\u00fcr, ob Sie einen Wettvorteil haben.<\/li>\n\n\n\n<li><strong>Das Kelly-Kriterium anwenden<\/strong>: Mit der Gewinnwahrscheinlichkeit (\ud835\udc5d) in der Hand berechnen Sie mit dem Kelly-Kriterium den optimalen Anteil Ihres Guthabens zum Wetten. Diese Berechnung basiert auf der Logik, dass Wetten proportional zu Ihrem Vorteil sein sollten; eine h\u00f6here Gewinnwahrscheinlichkeit deutet auf eine h\u00f6here Wettgr\u00f6\u00dfe hin, aber nur bis zu einem Punkt, an dem Wachstum und Risiko im Gleichgewicht sind.<\/li>\n\n\n\n<li><strong>Warten Sie auf eine positive Wettm\u00f6glichkeit<\/strong>: Sie warten, bis die berechnete Gewinnwahrscheinlichkeit einen positiven Erwartungswert nahelegt \u2013 das hei\u00dft, wenn die Anzahl der gewonnenen Spiele in Ihrem Datensatz eine h\u00f6here Gewinn- als Verlustwahrscheinlichkeit bei Ihrem gew\u00e4hlten Zielmultiplikator nahelegt. Erst dann platzieren Sie eine Wette, und die H\u00f6he dieser Wette wird gem\u00e4\u00df dem Kelly-Kriterium optimiert, um das langfristige Wachstum Ihres Guthabens zu maximieren und gleichzeitig das Risiko zu minimieren.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Der entscheidende Vorteil<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The primary advantage of this strategy is that it's data-driven and dynamic. It adapts to the current conditions of the game as reflected in the most recent outcomes. By focusing on situations where historical data indicates a higher probability of winning, you align your betting strategy with opportunities that have a statistical edge in your favor.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Wichtige \u00dcberlegungen<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Datenrelevanz<\/strong>: Diese Strategie geht davon aus, dass historische Spielergebnisse ein relevanter Indikator f\u00fcr zuk\u00fcnftige Ergebnisse sind, was bei Spielen mit konsistenten Mechanismen und Wahrscheinlichkeiten zutrifft.<\/li>\n\n\n\n<li><strong>Stichprobengr\u00f6\u00dfe und Variabilit\u00e4t<\/strong>: Die Genauigkeit Ihrer Gewinnwahrscheinlichkeitssch\u00e4tzung h\u00e4ngt von der Gr\u00f6\u00dfe und Variabilit\u00e4t Ihres Datensatzes ab. Gr\u00f6\u00dfere Datens\u00e4tze k\u00f6nnen zuverl\u00e4ssigere Sch\u00e4tzungen liefern, erfordern jedoch Zeit zum Sammeln von Spieldaten und eine sorgf\u00e4ltige Verwaltung, um die Relevanz sicherzustellen.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Zusammenfassend l\u00e4sst sich sagen, dass diese Strategie das Kelly-Kriterium in Verbindung mit der Analyse historischer Spieldaten nutzt, um positive Wettm\u00f6glichkeiten zu identifizieren und zu nutzen, mit dem Ziel, die Gewinnchancen durch informierte, kalkulierte Wetten zu erh\u00f6hen.<\/p>","protected":false},"excerpt":{"rendered":"<p>The Kelly Criterion is a smart way to decide how much money to bet. It helps you bet just the right amount to grow your money steadily without the risk of losing it all. Think of it as your guide to betting wisely. It&#8217;s very popular among betters and investors for keeping risks low. The [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":5776,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[277],"class_list":["post-3399","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-guides-and-strategies","tag-crash-game-script"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>The Kelly Criterion in Crash Gambling<\/title>\n<meta name=\"description\" content=\"Apply the Kelly Criterion with real game data for precise betting strategies in crash games and investment scenarios.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/crashxbet.com\/de\/kelly-criterion-crash-gambling\/\" \/>\n<meta property=\"og:locale\" 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