1.6 Various Games

Requirements

Modify the Secure Tic-Tac-Toe or Remote Tic-Tac-Toe program to maintain saved definitions of variations on Tic-Tac-Toe, and permit users/AI to play those games.

Allow each Creator to create up to fifteen new games (each game must differ from already saved games by more than name), and allow each Trainer/Admin to create an unlimited number. After a game is created, allow editing only of its name and only by Admins. Allow players to choose games to play and to view its leader-board (sorted with its highest rated player on top). Always display the Random player on leader-boards. For each player on the leader-board, allow users to navigate to that player’s stats, and to initiate a game (if a friend or non-human) or send a friend request (if human non-friend).

Color Assignment

Each player of normal Tic-Tac-Toe has a distinct color of pieces in reserve, but some variations have all players share a single color or share multiple colors.

Option to Agree Draw

If a game offers the Option to Agree Draw, then a player can choose “Draw” as their move. if this move is selected and all other players (except Chaos) Agree to the offer, then the match ends in a draw; otherwise, the original player must choose a different move.

Number of Players

The number of players can be 2, 3, 4, “Partners” (i.e. the first and third player get the same outcome and the second and fourth player get the same outcome), “2 vs Chaos”, or “3 vs Chaos”. In the last two options reserves/pieces are assigned to a player named “Chaos” who has no stats, always goes last, and plays randomly. Where Chaos needs a skill-level rating (e.g. for purposes of updating ratings), use the constant assigned to beginning players. If all players win, then Chaos loses (even if the number of players in not ” …vs chaos”.

Overachiever(s) disqualified

An “Overachiever(s) disqualified” rule may be added to 4-player games. If so, the first time a set of winners is identified, the players in that set become disqualified from winning but the game continues (including play by those players). For example, “First 3-same-color-in-a-row wins” becomes “Second to get 3-same-color-in-a-row wins” and “Most pieces wins” becomes “Second most pieces wins.” If all players are disqualified or lose, then Chaos wins.

Cloaking, Locking, Sticky and Exclusive

Rules may specify “Cloaking Type” (Invisibility or Obscurity), which spaces are “cloaked”, and which spaces are locked for entry and/or exit to specific players. “Sticky” spaces are locked against exit; “exclusive” spaces are locked against entry or exit (except by player(s) to whom they are exclusive). Players cannot move to any space for which their entry is locked or from any space for which their exit is locked (but can move over/through them). Players can fully see every piece they placed, every piece they can move (imobile pieces aren’t necessarily visible to the players who “own” them), every piece occupying a non-cloaked space, every piece they have previously fully seen, and every piece they have attempted to cover. If the Cloaking Type is Obscurity then players can fully see all pieces of their assigned color(s) and can see the color–but not shape–of all other placed pieces. If what makes a move illegal is a wall or piece that is invisible to the player, then the player can attempt the move, but the result will be only to make the invisible piece or wall visible to the player (i.e. the turn ends without any piece actually moving).

Most Area Wins

The “Most area wins” rule (from Go) means to assign the win at stalemate based on the total number of spaces (including locked blanks) that each player either occupies or could move through by moving any single one of their pieces any number of orthogonal moves (i.e. it excludes spaces occupied or surrounded by opponents).

Simultaneous Play

In simultaneous play, each player sees the board as it was at the beginning of the round and registers a “plan” based on what moves would be legal if that player were first to move. After all plans are registered, if multiple players move to the same space and the collision is not resolved naturally via “by rank” rules, then all pieces moved to that space are destroyed.

Phases

Each game has from 1 to 6 phases–stalemate advances the phase. Each phase other than the last may have a “fold” rule applying at the end of that phase to all but Chaos (e.g. “Less-than-most committed pieces folds” means that only the players with the most pieces locked against exit do not fold). Players who have folded cannot move for the rest of the game (but are still eligible to win). Each phase must also define whether there is an option to pass, which players (if any) are locked for that phase, whether all moves must be from reserves, which spaces are locked and/or “cloaked” for that phase, and whether turns are sequential (default), simultaneous, or “single” (i.e. simultaneous and lasts only one turn).

Movement

Each shape may have its own rules for move or capture. A player cannot move a placed piece if the player has an identical piece in reserve, If a shape “cannot move backwards”, then a player cannot move pieces of that shape away from his/her own goal line (or plane), and any move that reaches the goal requires the player to also select a replacing shape that can move backwards.

Capture

Some pieces may be able to capture opponent pieces by covering them (e.g. chess), surrounding them (e.g. reversi), jumping them, chain-jumping them (e.g. draughts), or “cover by rank” (stratego). The second to last capture option adds an additional move to the player’s turn which can be used only to jump with the same piece or to pass. The last capture option means that the highest-ranked of the attacker/defenders captures the others. Pieces that cannot capture have the lowest rank and cannot cover each other (but become captured by covering a higher-ranked piece); pieces that capture in ways other than “by rank” have highest rank and award conflicts between each other to the attacker; otherwise cover of equal rank results in mutual destruction. Depending on the type of captor, captives may be destroyed, converted (not permitted for “cover by rank” except on stacks), reincarnated (i.e. added to the captor’s reserves), or reincarnate (x2) (double upon capture). If a piece “must capture” and at least one opportunity to capture is visible, then no non-capture is legal.

Multiple Boards

The number of boards can be 1, 2 or 3. When the outcome of a board is determined, it becomes locked to all players, but players can otherwise play on any board in any turn; whomever wins the most boards wins the game.

Stacks

If the board is “stacks”, then moves are always to the tops of stacks (so height is ignored when determining whether the move qualifies as “orthogonal”), but fall to the lowest empty space on that stack (e.g. Connect4); reserves can be placed on any stack that doesn’t appear to be full. Pieces that do not move “by stack” can move only from the top of a stack; the others bring all pieces above them along for the ride and can move only to posts that appear to have that much available space (e.g. moving a stack of poker chips); those that move “by full stack” (e.g. poker hands) can move only if on the bottom of a stack.

Capture on Stacks

For conversion and reincarnation on cover, all players with the highest rank on the stack split the pot (each captor retains the pieces that make them highest rank; the remaining pieces are allocated in descending order of rank round-robin to the captors starting randomly–i.e. if there are three reincarnate (x2) captors of two pieces, then one captor gets two and the others each get one). A player’s rank in a move “by stack” or “by full stack” is determined from the full set of pieces in the destination stack (after the move) owned by that player or by no player (“communal pieces”), ignoring any pieces of the lowest possible rank (chips), using the following hierarchy: highest-5-of-a-shape outranks highest-4-of-a-shape which outranks highest-5-straight which outranks highest-full-house (i.e. three-of-a-shape-plus-pair) which outranks highest-4-straight which outranks highest-3-of-a-shape which outranks highest-2-pair which outranks highest-3-straight which outranks highest-pair which outranks highest-2-straight which outranks highest-singleton.

Acceptance Test Plan

Test each of the clickable elements and test that it displays appropriate errors for invalid entries. Create and play 3on15line, Treblecross15, 3P-Misere-Notakto, 3P-Notakto, 4on7sq, 5on15sq, Connect6-19x19, Tapatan, Achi, 9-Holes, Qubic-4, Connect4, 3P-MostWins-3x4, 3P-LeastLoses-3x4, Wild-TTT-6sq3143, RockPaperScissors, 3P-9X-HideSeek, Shopping9, 4P-TrendSetter, 3P-PublicGoods, NeedyTrust, RichTrust, 3Blotto13, KBeauty9, and StagHunt.

Potential Mockups

To export game:

redscience game {name} -e {file}

To import game:

redscience game {name} -i {file} {security token}

Game Factory Page

../_images/3P-poker.png

Shown as of 1.7 Batch Play (to anticipate evolution of page). Deck and dealt pieces do not show until then.

  • The name text field does not accept whitespace, ‘*’, ‘(‘, or ‘)’.

  • The “Save” button validates the record and saves if valid. Once saved, only the name can be edited (and only by an admin), but a “Copy” button may appear which opens a new unsaved Player Factory page with values prefilled to match this page. Creators see this button until their quota is exhausted. Blank dropdowns, palette options, and integer selects of zero are hidden on saved pages. A new rule set will not save if another identical rule set (except name) has already been saved.

  • The stalemate dropdown offers “Stalemate draws” as default, “All players win if stalemate”, “All players lose if stalemate”, “Most same-color-in-a-row wins”, and “Least same-color-in-a-row loses” (can extend to “Most pieces wins”, “Any 3-same-color-in-a-row wins”, “Last 3-same-color-in-a-row wins”, “Stalemate loses”, “Stalemate wins”, etc.).

  • The “Add Check” button (fa-plus) inserts another turnCheck dropdown (with “Delete Check” button.

  • The turnCheck dropdown offers “First 3-same color-in-a-row wins”, “First 3-same-color-in-a-row loses”, “First 3-same-color-in-a-row wins (no diagonal)”, “First 4-same-color-in-a-row wins”, “First 5-same-color-in-a-row wins”, “First 6-same-color-in-a-row wins” (can extend to “First 2-same-color-in-a-row loses”, “Last pentagon wins”, “En passant”, “Castle”, “All players lose if any 3-same-color-in-a-row”, etc).

  • The “Delete Check” button (fa-trash-o) removes that turnCheck dropdown.

  • The players dropdown offers “2 Player”, “2 vs Chaos”, “3 Player”, “3 vs Chaos”, “4 Player” or “Partners” (can extend to … “1 vs chaos”). Changing the players adds/removes goals from the board. If the color is not shared, then it also adds/removes reserved integer selects (default the values in added integer selects to those in the highest-numbered existing player).

  • The shapes dropdown offers “1 shape”, “2 shapes” (can extend to “3 shapes”, “4 shapes”, “5 shapes” or “6 shapes”). Changing the selection adds/removes reserved integer selects (default the values in added integer selects to those in the highest-numbered existing shape).

  • The color dropdown offers “Assigned colors”, “Shared color”, “Partners share color”, or “Players choose color”.

  • The cloaking dropdown offers “No cloaking”, “Cloaking hides”, or “Cloaking obscures”.

  • The pieces dropdown offers “1 piece/turn” or “2 pieces/turn”

  • The time dropdown offers “3 seconds/turn”, “6 seconds/turn”, “10 seconds/turn”, “15 seconds/turn”, “20 seconds/turn”, “30 seconds/turn”, “40 seconds/turn”, “60 seconds/turn”, “90 seconds/turn”, “120 seconds/turn”, “180 seconds/turn”, “240 seconds/turn” or “300 seconds/turn”.

  • The boards dropwdown offers “1 boards”, “2 boards”, or “3 boards”.

  • The phases dropwdown offers “1 phase”, “2 phases”, “3 phases”, “4 phases”, “5 phases”, or “6 phases”.

  • The board dropdown offers “Hash”, “Squares”, or “Stacks” (can extend to “Tetrakis squares”, “Squares on Toroid”, “Hexagons”, etc.). Changing the dimensions causes the board to redraw, and may adjust the dimensions. For Hash, the dimensions are frozen at 3x3x1. For Stacks, the third dimension must be greater than 1. Player1 Goal is always at y=max (or x=1, if the max y is 1). For two-player games, Player 2 goal is opposite (e.g. y=1). For games with more players, the goals proceed around the board counter-clockwise (e.g. Player 2 Goal at x=1). Stacks display only two rows above the tallest stack, but the maximum height displays in the upper left corner of the board.

  • Each of the dimension integer selects offers integers from 1 to the floor of (512 / the product of the other two dimensions) upto a max of 19. Changing the dimensions causes the board to redraw; if two dimensions are 1, it will draw a horizontal row; if one is 1, it will draw a plane; if none is 1, it will draw a 3D graph.

  • Each power dropdown offers “No power”, “Must capture”, and “Can capture”. If “No power” is selected, then the associated power_ condition and power_result dropdowns are cleared and disabled. Pentagon outranks star which outranks cross which outranks X which outranks triangle which outranks circle (but circle outranks pentagon and only pentagon).

  • Each power_condition dropdown offers “Cover” and “Cover by rank” (can extend to “Move on diag + en passe”, “Move on triagonal”, “Jump”, “Chain Jump”, “Chain Jump (+ back)”, “Surround line”, “Surround orthogonal”, “Approach”, “Adjacent”, etc. If a “Cover” condition is selected on non-stacks, then clear all results except Remove and Reincarnate.

  • Each power_result dropdown offers “Removes captive(s)”, “Converts captive(s)”, “Reincarnate Captive(s)” (can extend to “Paralyzes captive(s)”, etc.). To “Reincarnate” captives means to convert, remove, triple, and add them to one’s own reserves.

  • Each move dropdown offers “Moves adjacent”, “Moves orth by stack” or “Moves linear or knight” (can extend to “Stationary”, “Moves forward orth”, “Moves forward diag”, “Moves adjacent (no back/side)”, “Pawn move forward/center “, “Moves orth (no back)”, “Rook move orth/castle”, “Moves adjacent (no back)”, “Knight move 2x1x0”, “Moves adj diagonal”, “Moves adj orthogonal”, “Knight move 2x1x1”, “Moves diagonal”, “Moves orthogonal”, “Moves linear”)

  • The phase drowdown offers as many Phase labels as indicated in the phases drowdown. selecting the phase resets the interface below it to the selected phase.

  • The order dropdown offers “Sequential”, “Simultaneous”, and “Single”.

  • The phase_movement dropdown offers “Movement allowed” and “Placement only”.

  • The pass dropdown offers “Option to pass” and “No option to pass”

  • Clicking an exclusive marker, cloak marker, lock marker, sticky marker, dealt common, or one of the shape markers next to a reserved integer select selects it with green highlighting. Clicking a space with the selected property will clear that property from the space; clicking a space that lacks the selected property will add it. The cloak and lock properties are the only ones that can be changed after phase 1.

  • Clicking a phase_lock icon toggles it.

  • Each reserved integer select offers integers from 0 to the maximum number that can be played (e.g. the product of the dimension integer selects divided by the number of colors). If the maximum is selected for all selects of a given shape, then the move dropdown for that shape is cleared and disabled. These are editable only for phase 1.

Leaderboard Tab

../_images/Leaderboard.png

Shown as of generalintellgence (to anticipate the evolution of page). Dots should be replaced with the rest of the list of top rated players. The “Benchmark” button (fa-balance-scale) does not show until 1.7 Batch Play, the “Show Learning-curve” buttons (fa-line-chart) do not show up until 1.8 Educated AI, the Difficulty level and Related games do not show up until generalintellgence.

  • The “Show All Creations” button (fa-flask) navigates to the Creations tab of the creator’s Player Page

  • The player combobox lists players who have played this game in the selected Universe. The “Add Player” button (fa-plus) adds the selected player to the Leaderboard below (in sorted order).

  • The Universe combobox lists “Public Universe” and any other Universes in which the user has Persona (do not display if there is only one option). Defaults to the Universe most recently selected by the user.

  • Sort descending by skill rating + Top-Burst. In parentheses, show how long that level has been held. The top ten players are ranked. Display up to ten players from the selected universe, including ranked players, the user (if played), random (in all universes), and the standard player (SP) for the rule set if there is one (in all universes). There might not be enough room to display all ranked players. Show checkboxes for Random and AI players.

  • The “Benchmark Selected Bots” (fa-balance-scale) button is available for Trainers and Admins. It saves the current record and navigates to the Tournament page with 100 games for each combination of checked players. If the players include the top player, the player it is most Favored By, Random and at least one other player, then it qualifies as a “Benchmark” tournament.

  • The “Show Evolution” button (fa-line-chart) saves the current record and navigates to the Evolution Page with this rule set, the checked players, and “Rating” selected.

  • The “Show Player” buttons (fa-address-card-o) navigate to the Stats tab of the associated Player

  • The “Play New Game” buttons (fa-fort-awesome) saved the current record and navigates to the Home Page with this Rule set prefilled and the associated player prefilled in the second slot. It displays only for non-human players, friends, and personas created by the user.

  • The “Add to Friends” buttons (fa-user-plus) sends a friend request to the associated player. It displays whenever no “Play New Game” button displays.

Game Definitions

The following are variations on tic-tac-toe (only differences from tic-tac-toe are described):

Test Set

3on15line:

Played on 15x1x1 squares, 8 black and 7 white start in reserve

Treblecross15:

Played on 15x1x1 squares, Shared Color, 15 black start in reserve

3P-Misere-Notakto:

3 Player, Shared Color, 9 black start in reserve,

3P-Notakto:

3 Player, Shared Color, 9 black start in reserve, First 3-same-color-in-a-row loses

4on7sq:

Played on 7x7x1 squares, 25 black and 24 white start in reserve, First 4-same-color-in-a-row wins, Option to Agree Draw

5on15sq:

Played on 15x15x1 squares, 113 black and 112 white start in reserve, First 5-same-color-in-a-row wins, 300 seconds/turn

Connect6-19x19:

Played on 19x19x1 squares, start with white occupying (10,10) and 180 black and 180 white in reserve, First 6-same-color-in-a-row wins, 2 moves/turn, 300 seconds/turn

Tapatan:

3 black and 3 white start in reserve, Moves adjacent

Achi:

4 black and 4 white start in reserve, Moves adjacent

9-Holes:

3 black and 3 white start in reserve, Moves linear or knight, First 3-same-color-in-a-row-orth wins

Qubic-4:

Played on 4x4x4 squares, 32 black and 32 white start in reserve, First 4-same-color-in-a-row wins, 300 seconds/turn

Connect4:

Played on 7x1x6 stacks, 21 black and 21 white start in reserve, First 4-same-color-in-a-row wins

3P-MostWins-3x4:

Played on 3x4x1 squares, 4 black, 4 white, and 4 pink start in reserve, 3 Player, Most-same-color-in-a-row wins

3P-LeastLoses-3x4:

Played on 3x4x1 squares, 4 black, 4 white, and 4 pink start in reserve, 3 Player, Least-same-color-in-a-row loses

Wild-TTT-6sq3143:

Played on 6x6x1 vertices, (3,1,1) and (4,3,1) are locked, 18 black and 18 white start in reserve, Players choose color

RockPaperScissors:

Played on 1x1x2 stacks, Simultaneous, Circle: Can capture, Cover by rank, Converts captive(s), 1 black and 1 white start in reserve; Pentagon: Can capture, Cover by rank, Converts captive(s), 1 black and 1 white start in reserve; X: Can capture, Cover by rank, Converts captive(s), 1 black and 1 white start in reserve;

3P-9X-HideSeek:

Played on 5x7x1 squares: the nine spaces from (3,3) to (5,5) are exclusive to the first three players and the rest are exclusive to chaos; starts with yellow pentagon in (4,6) and pink circles in all remaining non-locked chaos-exclusive spaces; 3 vs chaos, Cloaking hides; Most circles wins, Statemate if goal is reached; Circle: Moves adjacent or knight, 1 black and 1 white start in reserve; Pentagon: Must capture, Cover, Destroys Captive(s), Moves adjacent, 1 pink starts in reserve; Phase 1: Placement only, (1, 4), (2, 2), (2, 6), (4, 1), (4, 7), (5, 1), and (5, 7) are locked, non-chaos-exclusive spots are cloaked; Phase 2: Option to pass, same locks and cloaking.

Shopping9:

Played on 3x1x9 stacks: first stack exclusive to black, second stack exclusive to white and starts with 2 white pentagons, third stack exclusive to pink; 2-vs-chaos, Cloaking hides, Least pieces loses; Chaos wins if total circles > 9; Circle: 9 black and 7 white start in reserve; Pentagon: 8 pink start in reserve; Phase 1: Option to pass, only black unlocked; Phase 2: Option to pass, only white unlocked; Phase 3: Option to pass, only chaos unlocked

4P-TrendSetter:

Played on 1x3x1 squares, 4 Player, Simultaneous, All players lose if stalemate, Any piece wins, 1 black, 1 white, 1 pink, and 1 yellow start in reserve

3P-PublicGoods:

Played on 5x1x8 stacks: first stack exclusive to black and starts with 1 black circle, second stack exclusive to white and starts with 2 white circles, third stack exclusive to pink and starts with 3 pink circles, fourth stack exclusive to chaos, fifth stack exclusive to black, white, and pink and starts with 1 black pentagon, 1 white pentagon and 1 pink pentagon; 3-vs-chaos, Less pieces than chaos loses; Circle: Moves orth by stack, 5 yellow start in reserve; Pentagon: Stationary, Can capture, Cover, Reincarnates captive(s) x2 Phase 1: Single, Option to pass, chaos locked; Phase 2: No option to pass, fifth stack locked, chaos locked; Phase 3: Option to pass, only chaos unlocked.

NeedyTrust:

Played on 4x1x9 stacks: first stack exclusive to black and starts with 2 black circles, second stack exclusive to black and white and starts with 1 white X, third stack exclusive to white and starts with 1 black pentagon, fourth stack exclusive to chaos and starts with 4 yellow circles; 2-vs-chaos, More pieces than chaos wins, Less pieces than chaos loses, Circle: Stationary, 2 black and 2 yellow start in reserve Pentagon: Stationary, Can capture, Cover, Converts captive(s) X: Stationary, Can capture, Cover, Reincarnates captive(s) x2 Phase 1: Only black unlocked; Phase 2: Only white unlocked; Phase 3: Option to pass, only chaos unlocked.

RichTrust:

(Like NeedyTrust, but first stack starts empty, fourth stack starts with only 3 yellow circles, and 4 black circles and 2 yellow circles start in reserve)

3Blotto13:

Played on 3 boards of 2x1x13 stacks: first stack exclusive to black, second stack exclusive to white; Most pieces wins, Cloaking hides; Circle: 13 black and 13 white start in reserve; All spaces cloaked

KBeauty9:

Played on 4x1x9 stacks; first stack exclusive to black, second stack exclusive to white, third stack exclusive to pink, fourth stack exclusive to yellow; 4 Player, Most-in-a-row wins, Overachiever(s) disqualified, Cloaking hides; Circle: 9 black, 9 white, 9 pink, and 9 yellow start in reserve; Phase 1: Option to pass, all spaces cloaked, only black unlocked; Phase 2: Option to pass, all spaces cloaked, only white unlocked; Phase 3: Option to pass, all spaces cloaked, only pink unlocked; Phase 4: Option to pass, all spaces cloaked, only yellow unlocked;

StagHunt:

Played on 4x1x3 stacks: first stack exclusive to black and starts with 1 black pentagon, second stack exclusive to white and starts with 1 white pentagon, third stack exclusive to black and chaos, fourth stack exclusive to white and chaos; 2-vs-chaos, Most 2-same-color-in-a-row wins, Circle: Stationary, 6 pink start in reserve Pentagon: Stationary, Can capture, Cover, Removes captive(s), 1 black and 1 white start in reserve Phase 1: Simultaneous, chaos locked; Phase 2: Option to pass, only chaos unlocked.

Other interesting games

4P-Coordination:

Played on 1x3x1 squares, 4 players, All players win if stalemate, Any piece loses; Circle: 1 black, 1 white, 1 pink, and 1 yellow start in reserve; Simultaneous.

PrisonerDilemma:

Played on 5x1x2 posts: first stack exclusive to black and starts with 1 black X, second stack locked, third stack is exclusive to white and starts with 1 white pentagon, third stack is exclusive to chaos; 2-vs-chaos, Most 2-same-color-in-a-row wins; Circle: Stationary, 6 pink start in reserve; Pentagon: Stationary, Can capture, Cover by rank, Removes captive(s), 1 white starts in reserve X: Stationary, Can capture, Cover by rank, Removes captive(s), 1 black starts in reserve Phase 1: Simultaneous, chaos locked; Phase 2: Option to pass, only chaos unlocked.

NeedyUltimatum:

Played on 4x1x9 stacks: first stack exclusive to black and starts with 3 white circles and 1 white pentagon, second stack exclusive to black and white, third stack exclusive to white and starts with 5 yellow circles, fourth stack exclusive to chaos and starts with 2 yellow circles; 2-vs-chaos, More pieces than chaos wins, Less pieces than chaos loses, Circle: Stationary, 3 black and 3 yellow start in reserve; Pentagon: Stationary, Can capture, Cover, Converts captive(s); X: Stationary, Can capture, Cover, Removes captive(s), 1 white starts in reserve; Phase 1: Only black unlocked; Phase 2: Only white unlocked; Phase 3: Option to pass, only chaos unlocked.

3P-Volunteer:

Played on 6x1x3 stacks; first stack exclusive to black and starts with two black pentagons, second stack exclusive to white and starts with 2 white Xs, third stack exclusive pink and starts with two pink crosses, fourth stack locked to all players, fifth and sixth stack start with a locked space; 3-vs-chaos, Least 2-same-color-in-a-row loses; Circle: Stationary, 8 yellow start in reserve; Pentagon: Stationary, Can capture, Cover by rank, Removes captive(s), 1 black starts in reserve; X: Stationary, Can capture, Cover by rank, Removes captive(s), 1 white starts in reserve; Cross: Stationary, Can capture, Cover by rank, Removes captive(s), 1 pink starts in reserve; Phase 1: Simultaneous, chaos locked; Phase 2: Option to pass, only chaos unlocked;

BoS:

Played on 2 boards of 2x2x1 squares: (1,1) exclusive to black on both, (1,2) exclusive to white on both, (2,1) of 1 and (2,2) of 2 exclusive to chaos, and remainin spaces are locked; 2-vs-chaos, Least area wins; Circle: 1 black, 1 white, and 1 pink start in reserve; Phase 1: Simultaneous, chaos locked; Phase 2: Only chaos unlocked.

Centipede9:

Played on 4x1x9 stacks: first stack exclusive to black and white, second stack exclusive to black, third stack exclusive to white, fourth stack exclusive to chaos and starts with 3 yellow circles; 2-vs-chaos, Most pieces wins; Circle: Can capture, Cover, Converts captive(s), 4 black, 4 white, and 5 yellow start in reserve Pentagon: Can capture, Cover, Reincarnates captive(s), 1 black and 1 white start in reserve Phase 1: Option to pass, chaos locked; Phase 2: Option to pass, only chaos unlocked;

NeedyDictator:

(Like NeedyUltimatum, but with no white X in reserve)

ContractHunt:

Played on 4x1x3 stacks: first stack exclusive to black and white and starts with 1 black pentagon, second stack exclusive to white, third stack exclusive to black and chaos, fourth stack exclusive to white and chaos; 2-vs-chaos, Most 2-same-color-in-a-row wins, Circle: Stationary, 6 pink start in reserve Pentagon: Stationary, Can capture, Cover, Removes captive(s), 1 black and 2 white start in reserve Phase 1: Single, only white unlocked, fourth stack locked; Phase 2: Simultaneous, chaos locked; Phase 3: Option to pass, only chaos unlocked.

OptionalPD:

Same as PrisonerDilemma, but with Option to Agree Draw.

ContractPD:

Played on 5x1x2 posts: first stack exclusive to black and starts with 1 black X, second stack locked, third stack is exclusive to white, third stack is exclusive to chaos; 2-vs-chaos, Most 2-same-color-in-a-row wins; Circle: Stationary, 6 pink start in reserve; Pentagon: Stationary, Can capture, Cover by rank, Removes captive(s), 2 white starts in reserve X: Stationary, Can capture, Cover by rank, Removes captive(s), 1 black starts in reserve Phase 1: Single, only white unlocked; Phase 2: Simultaneous, chaos locked; Phase 3: Option to pass, only chaos unlocked.

3P-BoS:

Played on 3 boards of 2x2x1 squares: (1,1) exclusive to black on all three, (1,2) exclusive to white on 1 and 2, (2,2) exclusive to white on 3, (2,1) exclusive to pink on 1 and 3, (2,2) exclusive to pink on 2, remaining spaces exclusive to chaos; 2-vs-chaos, Least area wins; Circle: 1 black, 1 white, and 1 pink start in reserve; Phase 1: Simultaneous, chaos locked; Phase 2: Only chaos unlocked.

NeedyCentipede4:

(same as Centipede, but chaos starts with 4 circles on the fourth stack and 6 in reserve.)

RichUltimatum:

(Like NeedyUltimatum, but first stack starts with no white circles, and the second stack starts with 4 black circles)

RichDictator:

(Like RichUltimatum, but with no white X in reserve)

4P-TrolleyDilemma:

Played on 4x1x4 stacks: first stack exclusive to black and starts with 1 white pentagon, second stack exclusive to white and starts with 2 white circles, third stack exclusive to pink and starts with 3 pink circles, fourth stack exclusive to yellow and starts with 3 yellow circles; 4 Player, Most-in-a-row loses; Circle: Stationary, 1 black starts in reserve; Pentagon: Stationary, Can capture, Cover by rank, Reinarnates captive(s) x2; Phase 1: Single, Option to pass, only black unlocked Phase 2: No option to pass, only white unlocked

3P-TrolleyDilemma:

Played on 6x1x5 stacks: first stack exclusive to black and starts with 1 white pentagon, second stack exclusive to white and starts with 2 white circles, third stack exclusive to pink and starts with 3 pink circles, fourth, fifth, and sixth stacks exclusive to chaos; 3-vs-chaos, Most-in-a-row loses; Circle: Stationary, 1 black and 5 yellow start in reserve; Pentagon: Stationary, Can capture, Cover by rank, Reinarnates captive(s) x2; Phase 1: Single, Option to pass, only black unlocked Phase 2: No option to pass, only white unlocked Phase 3: Option to pass, only chaos unlocked

Potential Schema