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Snakes and ladders

Snakes and Ladders is a traditional board game of ancient Indian origin, typically played by two or more participants using a single die and tokens on a grid-based board numbered from 1 to 100, where players advance their tokens by rolling the die, climb ladders upon landing on their bases to shortcut progress, and slide down snakes if landing on their heads, with the goal of being the first to reach the final square exactly.^[1] Originally developed as Moksha Patam (meaning "path to emancipation") or Gyan Chaupar ("game of knowledge") around the 13th century and attributed to the poet-saint Dnyaneshwar, the game served as a moral and philosophical tool rooted in Hindu beliefs about karma, illustrating how virtuous actions lead to spiritual advancement while vices cause downfall.^[2] In its traditional form, ladders symbolize positive qualities such as faith, conscience, and knowledge, propelling players upward toward liberation, whereas snakes embody negative traits like ego, greed, and false knowledge, sending players backward to reflect the consequences of poor choices.^[2]^[3] The game's emphasis on cause and effect mirrored life's unpredictability and the path to moksha (spiritual release), with the ultimate square representing moksha.^[2] Introduced to Britain in the late 19th century by colonial administrators who encountered it during the British Raj, the game was adapted into a secular children's pastime, stripping much of its philosophical depth while retaining the core mechanics of chance and reversal.^[2] It gained widespread popularity in the West as a simple game of pure luck, with no strategic elements, and was commercialized in the United States in 1943 by Milton Bradley under the name Chutes and Ladders, featuring chutes instead of snakes to appeal to younger audiences and avoid frightening imagery.^[2] Today, Snakes and Ladders remains a global staple for family entertainment and early education, often used to teach basic counting, probability, and perseverance, though its original intent as an allegory for ethical living persists in cultural studies of traditional games.^[4]

Basics and Components

Overview

Snakes and Ladders is a traditional board game of chance for two or more players, featuring a grid-based board, player tokens, and a single die to determine movement. The objective involves advancing tokens from the starting square to the final goal square, with ladders providing shortcuts upward and snakes causing players to slide backward, introducing elements of luck and unpredictability.^[5] Regarded as a timeless cross-generational pastime, Snakes and Ladders is played worldwide across diverse cultures, often for family entertainment or as an educational tool to teach perseverance and ethical decision-making to children. Its enduring appeal lies in its simplicity and accessibility, fostering social interaction without requiring complex strategies.^[6]^[7] The typical board consists of a 10x10 grid with 100 sequentially numbered squares from 1 to 100, starting at the bottom left and progressing in a boustrophedon pattern (alternating directions row by row), featuring several ladders connecting lower-numbered squares to higher ones and snakes linking higher squares to lower positions. Positions of ladders and snakes vary by edition.^[8]

Equipment

The standard equipment for Snakes and Ladders consists of a game board, player tokens, and a die. The board is typically a 10x10 grid comprising 100 numbered squares, starting from square 1 in the bottom-left corner and progressing to square 100 at the top, often alternating direction row by row for a boustrophedonic path.^[8]^[9] The board features printed ladders and snakes at specific positions, with square 1 designated as the safe starting point and square 100 as the goal.^[10] Player tokens are usually 2 to 4 small colored pieces made of plastic or wood, allowing for multiple participants, while the die is a single six-sided one used to determine movement.^[9]^[11] Traditional materials for the game include a cardboard or laminated paper board for durability and ease of printing, paired with plastic or wooden tokens and a plastic die.^[11] Modern variants often incorporate eco-friendly options, such as boards crafted from FSC-certified sustainable wood, emphasizing environmental responsibility while maintaining the classic design.^[12]^[13] Optional equipment variations include using multiple dice—such as two six-sided dice—for accelerated gameplay in house rules or custom sets, or substituting a spinner for the die to introduce a different randomization mechanism, as seen in some editions like the American Chutes and Ladders.^[14] Digital versions replace physical components entirely with virtual boards, tokens, and dice simulated via apps or online platforms, enabling play on mobile devices or web browsers without tangible materials.^[15]^[16]

Historical Background

Ancient Origins

The game known today as Snakes and Ladders traces its roots to ancient India, where it emerged as Moksha Patamu or Paramapada Sopana Patamu (a Jain variant) between the 2nd century BCE and the 13th century CE. This early form was deeply embedded in Hindu philosophy, illustrating the concepts of karma—the consequences of one's actions—and moksha, the ultimate liberation from the cycle of rebirth.^[17]^[2] Developed primarily as an educational tool, it aimed to impart moral and ethical lessons to children and adults alike, emphasizing the path to spiritual enlightenment through virtuous living.^[18] In its original incarnation, ladders symbolized ascents prompted by virtues such as generosity, faith, humility, and knowledge, propelling players toward higher squares representing progress on the spiritual path—for instance, a ladder from square 80 to 100 denoted the reward of generosity. Conversely, snakes embodied descents due to vices like theft, pride, anger, greed, and ego, sending players back to lower positions to underscore the pitfalls of immoral conduct.^[2]^[19] The game's design reflected the uneven nature of life's moral journey, with more snakes than ladders to highlight the challenges in attaining salvation.^[20] The most documented version dates to the 13th century and is attributed to the Marathi poet-saint Gyandev (also known as Sant Dnyaneshwar) in Maharashtra, featuring a board with 72 houses or squares, each inscribed with specific virtues and vices to guide players.^[21]^[22] Gyandev's Moksha Patamu served as a metaphorical representation of the soul's progression, where upward movement signified good deeds leading to divine union, and downward slides illustrated the repercussions of sin, mirroring the broader Hindu narrative of ethical striving and redemption.^[18]^[2]

Global Evolution

The game arrived in Britain during the late 19th century through colonial connections with India, where British officials and returning families introduced versions of the ancient Indian board game known as Moksha Patam or Gyan Chauper. Adapted to align with Victorian values, it was renamed Snakes and Ladders around 1892, with the edition featuring a grid-based board that emphasized moral instruction: ladders symbolized virtues like generosity and humility leading to progress, while snakes represented vices such as greed and pride causing setbacks.^[2]^[4] By the mid-20th century, the game crossed the Atlantic and was commercialized in the United States as Chutes and Ladders in 1943 by the Milton Bradley Company, drawing directly from the British adaptation. To enhance child-friendliness, the perilous snakes were reimagined as playful chutes, and each ladder or chute was paired with illustrated vignettes depicting simple moral stories—such as a child helping an elderly person to climb a ladder or disobeying rules to slide down a chute—reinforcing basic lessons of good behavior and consequences without the heavier philosophical undertones of earlier versions.^[23]^[24]^[25] Throughout the 20th century, Snakes and Ladders achieved widespread global dissemination, evolving through regional adaptations that blended local cultural elements while preserving core mechanics. In Europe, it developed alongside longstanding race games like the 16th-century French Le Jeu de l'Oie (Game of the Goose), sharing elements such as directional twists and setbacks. In Asia, beyond its Indian roots, localized editions emerged, including Korean versions that integrated traditional motifs for family play. Following World War II, commercialization accelerated, often prioritizing entertainment over explicit moral themes to appeal to broader audiences as a lighthearted pastime. By the early 21st century, a digital surge post-2000 transformed the game into accessible apps and online platforms, enabling multiplayer experiences worldwide and extending its reach to new generations.^[26]^[27]^[28]

Core Gameplay

Setup and Basic Rules

Snakes and Ladders is typically played with 2 to 4 players, each selecting a distinct token or counter to represent their position on the board.^[29] Prior to beginning, all tokens are placed off the board, positioned just before the starting square.^[30] The first player is determined by each rolling a six-sided die, with the highest roll taking the initial turn; in case of ties, rerolls occur until resolved.^[9] The board itself requires minimal preparation, consisting of a numbered 10x10 grid where square 1 is located at the bottom-left corner and square 100 at the top-right corner, following a boustrophedon path (alternating directions per row).^[29] No additional components beyond the board, tokens, and a single six-sided die are needed for setup, ensuring the game is ready once players are positioned.^[31] Players alternate turns in clockwise order, with each turn involving a roll of the six-sided die to determine movement spaces.^[29] To begin play, a player rolls the die and advances their token the number of squares indicated by the roll along the numbered path from the starting position; no interaction or capturing of opponents allowed—progression remains individual.^[9] The game concludes when one player reaches square 100, but victory requires landing exactly on it; if a roll would overshoot, the player does not move, and the turn ends without winning.^[29] Throughout play, landing on the base of a ladder allows immediate ascent to its top (as detailed in subsequent mechanics), while snake effects similarly redirect position, but general conduct emphasizes steady, non-competitive advancement toward the goal.^[9]

Mechanics and Progression

In Snakes and Ladders, players advance their tokens across a numbered board by rolling a six-sided die, moving the exact number of spaces indicated by the roll from their current position. If a player rolls a 6, they move their token and then take an additional turn.^[9] The board typically features a 10x10 grid with squares numbered sequentially from 1 to 100, following a boustrophedon pattern where the first row progresses left to right, the second row right to left, and alternating thereafter to reach the final square at the top.^[9] If a player's roll would exceed the remaining spaces to square 100, they cannot move and must wait for their next turn.^[1] Landing on the base of a ladder provides an immediate advancement, allowing the player to climb directly to the top square without further rolls; for example, in standard layouts, landing on square 9 enables a climb to square 31.^[32] Conversely, landing on the mouth of a snake results in a penalty, sliding the token down to the tail's position and regressing progress; a common example is landing on square 17, which sends the player back to square 7.^[32] In some regional versions, particularly the American adaptation known as Chutes and Ladders, snakes are replaced by chutes that function identically as downward slides. These ladder and snake effects are resolved immediately upon landing, altering the player's position before the next player's turn. Regarding shared spaces, rules for landing on an occupied square vary: in many traditional sets, multiple tokens may stack on the same square without disruption, while other editions require the landing player to return to their prior position, effectively skipping the turn.^[8] Overall, these mechanics introduce elements of chance that accelerate or hinder progression toward the goal of reaching square 100 first.

Variations

Variations in Snakes and Ladders often modify the pace, social dynamics, or cultural elements to suit different players or contexts. One common speed adjustment involves rolling two dice per turn instead of one, enabling players to advance up to 12 spaces and shortening game duration.^[33] Another pace-related rule concerns reaching the final square: many editions require an exact roll to land precisely on 100, preventing overshooting, while others permit victory with any roll that meets or exceeds it, allowing immediate wins without bouncing back.^[9] Advanced play introduces team or interactive elements beyond solo racing. Cooperative modes can feature players sharing progress on a single game piece, fostering collaboration to reach the end together. Penalty systems, such as swapping positions with an opponent upon landing on certain squares, add strategic disruption and interaction among players.^[34] Regional adaptations reflect cultural origins and preferences. In Indian versions like Moksha Patam, ladders begin at squares labeled with virtues such as faith and humility, while snakes start at vices like theft or pride, emphasizing moral education through gameplay.^[18] UK editions typically retain snakes as the descending hazards, aligning with the game's British colonial import from India. Smaller boards, such as 8x8 grids, are prevalent in children's sets to reduce complexity and board size for easier handling.^[35] Digital variants expand the classic format with technology-driven twists. Online and app-based versions frequently randomize snake and ladder positions for varied playthroughs, introduce timed rounds to heighten urgency, and incorporate power-ups like extra dice rolls or temporary immunities to hazards.^[36]

Cultural and Commercial Dimensions

Notable Editions

One of the most prominent commercial adaptations of Snakes and Ladders is the American version known as Chutes and Ladders, first published by Milton Bradley in 1943. This edition features a 100-square board with 10 chutes replacing snakes and 10 ladders for upward mobility, incorporating colorful illustrations of children's activities and moral lessons to engage young players aged 3 and older. The design emphasizes safer, whimsical themes without the potentially frightening serpents, and each square includes pictorial story prompts that encourage narrative play and early reading skills.^[24]^[37] For younger children, simplified junior editions have been developed to focus on basic counting and motor skills. The Djeco Snakes and Ladders Junior Edition uses a smaller board with penguin-themed pieces and fewer obstacles, targeting toddlers aged 3-5 to build number recognition through short, repetitive gameplay. Similarly, Orchard Toys' My First Snakes & Ladders features a compact 1-50 square layout with reduced snakes, vibrant artwork, and large pieces suitable for small hands, promoting turn-taking and sequential counting for ages 3-6.^[38]^[39] Themed editions expand the game's educational potential and appeal to specific audiences. Educational variants, such as the Math Snakes and Ladders games from Twinkl, integrate arithmetic challenges like addition and subtraction up to 20 on the squares, requiring players to solve problems before advancing, aimed at primary school children to reinforce math skills through play. Sight Words Snakes & Ladders by SightWords.com modifies the board to include reading prompts, where landing on certain spaces demands pronouncing sight words, supporting literacy development for early readers. Licensed versions, like Hasbro's Chutes and Ladders: Disney Princess Edition, incorporate characters such as Cinderella and Ariel on the board, with chutes and ladders tied to storybook adventures, targeting preschoolers aged 3+ for familiar, enchanting gameplay. Other licensed sets include the Disney Jungle Book edition by Nilco, featuring Mowgli and Baloo, and Peppa Pig Snakes and Ladders by Hasbro, both designed for family play with character-driven narratives.^[40]^[41]^[42] Digital and specialty editions introduce modern twists to the classic format. Gametion's Snakes and Ladders King app, developed by the creators of Ludo King, offers multiplayer online modes with customizable boards and power-ups, integrating Snakes and Ladders as a standalone feature within a broader gaming ecosystem for ages 4+. Board game expansions like The School of Life's Snakes & Ladders include 26 snake cards depicting emotional pitfalls and 26 ladder cards for positive traits, adding a psychological self-reflection layer for adult players aged 14+, while the 2016 Snakes and Ladders + Ludo With A Twist by an independent publisher combines the game with Ludo mechanics and card draws for strategic depth.^[43]^[44]^[45]

Representations in Media

Snakes and Ladders has appeared in various forms of literature as a metaphor for the unpredictability of life. In modern children's literature, the game appears as a symbol of life's simple joys and challenges; for instance, in Roald Dahl's George's Marvellous Medicine (1981), the protagonist's grandmother casually suggests playing Snakes and Ladders, highlighting familial interactions amid everyday whimsy. The game has been featured in film and television, often as a backdrop for themes of chance and consequence. In the animated series The Simpsons episode "Any Given Sundance" (Season 19, Episode 12, 2008), the Simpson family plays Snakes and Ladders while watching a film, underscoring domestic leisure and the game's role in family bonding.^[46] In Indian media, the 2024 Tamil-language thriller series Snakes and Ladders on Amazon Prime Video uses the game's title to frame a story of teenage misadventures and moral dilemmas in a hill town, evoking fate's twists through a cover-up of an accidental death.^[47] Additionally, the 2012 Malayalam film Snake & Ladder incorporates the board game into its plot as a motif for navigating personal and societal hurdles.^[48] In music, Snakes and Ladders frequently inspires lyrics about love's volatility and personal growth. Joss Stone's song "Snakes and Ladders" from her 2004 album Mind Body & Soul portrays romance as a precarious climb, with the game's mechanics mirroring emotional highs and lows.^[49] Similarly, Joni Mitchell's track of the same name from her 1988 album Chalk Mark in a Rain Storm uses the metaphor to depict idealized relationships unraveling into disillusionment.^[50] Other examples include Scouting for Girls' 2012 track from the album The Light Between Us, which likens relational setbacks to sliding down snakes.^[51] Artistic representations of Snakes and Ladders boards appear in museums as cultural artifacts, preserving their historical and symbolic depth. The British Museum holds a 19th-century "large Pahari type" Gyan Chauper board with 342 squares, featuring deities like Shiva, Vishnu, and Brahma at the top, illustrating the game's evolution from moral teaching tool to entertainment.^[52] The Victoria and Albert Museum displays an early version called Gyanbazi, a quasi-religious game of knowledge from India, emphasizing its role in imparting wisdom through play.^[53] Beyond entertainment, Snakes and Ladders influences self-help literature by symbolizing resilience amid adversity. In Mike Pearce's How to Deal with Life's Snakes and Ladders (2015), the game illustrates strategies for overcoming setbacks and capitalizing on opportunities in personal development. Similarly, Sherice Bromfield's Snakes and Ladders In a Book (2023) draws on the board to inspire appreciation of life's fluctuations, promoting emotional strength through reflective narratives.^[54] The game's imagery has also permeated internet culture post-2010, with memes on platforms like Reddit depicting real-life "snakes" as failures and "ladders" as successes, often in humorous takes on career or relationship woes.^[55]

Analytical Perspectives

Probabilistic Elements

The outcome of each turn in Snakes and Ladders is governed by the roll of a fair six-sided die, resulting in a uniform probability distribution where each face from 1 to 6 has an equal chance of 1/6. This yields an average forward movement of 3.5 squares per roll, calculated as the expected value E[D] = \frac{1+2+3+4+5+6}{6} = 3.5. However, the actual progression is modified by snakes and ladders, which introduce stochastic redirects upon landing on their starting squares. The probability of landing on such an event depends on the player's current position and the specific board configuration; for a standard 10x10 board with approximately 19 snakes and ladders, this probability varies across typical game states.^[56] To quantify overall game dynamics, the game can be modeled as a Markov chain, where each board position (from 0 to 100) represents a state, and transitions occur based on die rolls adjusted for snakes and ladders. The expected number of turns to complete the game from the starting position is derived by solving a system of linear equations for the expected remaining turns from each transient state. For a standard board, this expected game length is approximately 39.2 turns. This value accounts for the balancing effect of ladders accelerating progress and snakes causing regressions, with the chain's absorbing state at position 100.^[56]^[57] The fairness of Snakes and Ladders stems from its purely probabilistic nature, with no skill-based decisions influencing outcomes, making it an impartial game where all players face identical transition probabilities regardless of order. While the structure promotes patience through frequent regressions via snakes, the lack of strategic elements ensures that victory relies entirely on luck, as confirmed by the Markov chain analysis showing symmetric expected times independent of player identity. The expected turns from any position i, denoted E_i, satisfy the equation

E_i = 1 + \sum_{j} P_{i,j} E_j

for transient states i, where P_{i,j} is the transition probability from state i to j (1/6 for each possible die outcome, adjusted for snakes/ladders and bounces at the end), and E_{100} = 0 for the absorbing state; solving this system via the transition matrix P yields the values for all E_i, including the total expected time E[T] = E_0.^[56]

Structural Modeling

The standard Snakes and Ladders board is modeled in graph theory as a directed graph consisting of 101 nodes, labeled from 0 (starting position) to 100 (ending position). Each node i (where $0 \leq i \leq 94) has outgoing directed edges to nodes i+1, i+2, \dots, i+6, corresponding to the possible outcomes of a six-sided die roll. Snakes and ladders add shortcut edges: ladders provide forward jumps from the base to the top, while snakes introduce backward edges from the head to the tail, altering the connectivity and creating non-local transitions.^[58]^[59] This graph representation facilitates analysis of state transitions through the lens of an absorbing Markov chain, with node 100 serving as the single absorbing state where the process terminates upon arrival. The remaining nodes 0 through 99 form the set of transient states, from which transitions follow the directed edges with equal probability over the six die outcomes (adjusted for any snake or ladder at the landing position). Reachability is ensured from the initial state 0 to the absorbing state 100 via finite paths, though snakes introduce backward edges that can create cycles, allowing the process to revisit lower-numbered states and potentially prolong progression.^[60]^[61] Key structural concepts include the shortest path from node 0 to 100, which captures the minimum number of moves achievable with optimal die rolls that maximize ladder usage and minimize snake encounters; for the standard board, this path length can be found using breadth-first search. The graph's diameter, measured as the maximum shortest-path distance among nodes (particularly from transient states to the absorbing state), quantifies the longest possible progression under best-case scenarios, highlighting the board's topological extent.^[62]^[59] Advanced modeling extends to eigenvalue analysis of the submatrix governing transient state transitions, where the dominant eigenvalue (spectral radius less than 1) determines the convergence rate to absorption, reflecting how rapidly the chain approaches the end state across iterations. Simulations of the graph structure are employed to evaluate variants with altered snake and ladder placements, assessing changes in connectivity, path lengths, and overall topology without relying on probabilistic die outcomes.^[63]^[4]

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"The Simpsons" Any Given Sundance (TV Episode 2008) - IMDb
Rating 7/10 (1,659) The title is a reference to the film "Any Given Sunday". ... During the movie the Simpsons play snakes and ladders with just one dice, the game is played with two ...
[49]
'Snakes and Ladders' series review: A bored game - The Hindu
Oct 19, 2024 · ... ladder at a snake park. Snakes and Ladders is set in 2006 in Rettamugadu. At this fictional hill station, a bunch of kids, Gilbert (M.S. ...
[50]
Snake & Ladder English Dubbed Full Movie | Ramya Krishnan
Nov 10, 2021 · Snake & Ladder English Dubbed Full Movie | Ramya Krishnan | Jayaram | Akshara Kishore | Full HD · Comments.
[51]
Snakes And Ladders - song and lyrics by Joss Stone | Spotify
Snakes And Ladders. Joss Stone. Mind Body & Soul20043:35. Lyrics. In the game of love. It takes all you got. Just to keep it moving up. Don't you wanna reach ...Missing: referencing | Show results with:referencing
[52]
Snakes And Ladders - lyrics - Joni Mitchell
Oh love is snakes and ladders, snakes and ladders. She just to have and hold, is the perfect air-brushed angel, makes you hot just looking at her.Missing: referencing | Show results with:referencing
[53]
Scouting For Girls - Snakes and Ladders (Audio) - YouTube
Jun 14, 2017 · ... Lyrics Here we are, playing this crazy game, We've come so far, but we're sliding down again like Snakes and Ladders ... about you you you ...Missing: referencing | Show results with:referencing
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game-board | British Museum
Snakes and Ladders (gyan chaupar) Board of "large Pahari type" (with 342 squares). At the top are depictions of three deities: Śiva, Viṣṇu and Brahma. Cultures/ ...
[55]
Gyanbazi | Unknown - Explore the Collections - V&A
Jun 14, 2001 · An early version of the familiar snakes- and- ladders board game, the quasi-religious game of gyan (jnana)- choupad or gyanbazi (game of knowledge)
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Snakes and Ladders In a Book - Amazon.com
30-day returnsThe riveting, Snakes and Ladders In a Book is an inspirational piece about appreciating the ups and downs in the "game of life". The book highlights gems ...
[57]
Snake and ladder : r/memes - Reddit
Nov 14, 2021 · Snake and ladder. r/memes - Snake and ... r/boardgames - Snakes and Ladders as She is Played. qwantz. 35 ...Missing: internet 2010s
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[PDF] chutes and ladders - UChicago Math
Chutes and Ladders can be thought of as being modeled by a Markov chain. Each square on the board, 1 through 100, is a state, as is the starting position, the ...
[59]
Mr Markov playing Snakes and Ladders - The Network Pages
Aug 19, 2024 · But there are ladders on some of these squares! There is a ladder from square 1 to square 38, and a ladder from square 4 to square 14. Since we ...
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909. Snakes and Ladders - In-Depth Explanation - AlgoMonster
Is it a graph? Yes: The Snakes and Ladders board can be viewed as a graph where each square is a node, and edges exist from each square to the ...
[61]
Chutes and Ladders with Large Spinners | Request PDF
View. Show abstract. Snakes and Ladders: A game on a graph. Article. Jan 1985. Bert L. Hartnell, · C. Whitehead · View · Introduction To Probability.
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[PDF] 18.175: Lecture 31 .1in More Markov chains
▷ Random walk on a graph. Stationary distribution? ▷ Random walk on directed graph (e.g., single directed chain). ▷ Snakes and ladders. 18.175 Lecture 31 ...
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[PDF] Markov Process of Snake And Ladders Board
Snakes and Ladders board is an ancient Indian board game regarded today as a worldwide classic. It is popular among kids. We study the game mathematically by ...
[64]
Solving Snakes and Ladders Using Graph Theory | agostini.tech
Dec 5, 2016 · I'll show you here how to create a simple algorithm to solve the game. We will find out how many throws of the dice is necessary to win the game.
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(PDF) Chutes and Ladders in Markov Chains - ResearchGate
Aug 10, 2025 · The 'big jump' from p − 1 to 1 is strongly reminiscent of the 'snakes and ladders ... eigenvalues/eigenvectors to give sharp rates of convergence ...