Everyone tosses three coins, and posts it in the chat
If a player tosses three of the same, they have to toss again.
Everyone chooses the mode coin from their neighbour, and adds it to their stack
Each player, with 3+N coins, picks the mode coin in their own collection.
Ideally: the player’s own bias, is outweighed by the other player’s biases.
The final coin is the mode of all players coins.
from numpy import median
from pprint import pprint
players = {"p1" : [1,0,1], ## playing fair"p2" : [0,0,1], ## cheating"p2" : [1,1,0], ## cheating"p3" : [1,1,0], ## cheating"p4" : [0,0,1]} ## playing fairprint("Initial rolls:")
pprint(players)
get_mode_coin = lambda x: int(median(x))
get_all_mode_coins = lambda x: [get_mode_coin(y) for y in x]
for play in players: ## Players add the mode coin from their neigbours
players[play] = players[play] + get_all_mode_coins(players.values())
print("First picks:")
pprint(players)
for play in players: ## Players collapse their collections to mode
players[play] = [get_mode_coin(players[play])]
print("Last modes:", players)
print("Final choice:", get_mode_coin([x for x in players.values()]))
Which as you can see, is no better than simply picking the median coin from the initial rolls. I thank you for wasting your time.
from numpy import median
from random import choice
from pprint import pprint
# Functions
get_mode_coin = lambda x: int(median(x))
defpick(player, wants):
for neighbor in players:
if player != neighbor:
neighbor_purse = players[neighbor]["purse"]
if wants:
if wants in neighbor_purse: # Cheat
players[play]["purse"] = players[play]["purse"] + [wants]
continue
players[play]["purse"] = players[play]["purse"] + [choice(neighbor_purse)]
# Main
players = {"p1" : {"purse": [1,0,1], "wants": False}, ## playing fair"p2" : {"purse": [0,0,1], "wants": 0}, ## cheating"p3" : {"purse": [1,1,0], "wants": 1}, ## cheating"p4" : {"purse": [1,1,0], "wants": 0}, ## cheating"p5" : {"purse": [0,0,1], "wants": False}} ## playing fairfor play in players: ## Players pick a desired coin from each of their neighbours
pick(play, players[play]["wants"])
print("First picks:")
pprint(players)
for play in players: ## Players collapse their collections to mode
players[play] = [get_mode_coin(players[play]["purse"])]
print("Last modes:", players)
print("Final choice:", get_mode_coin([x for x in players.values()]))
First person gets a box showing heads tails. Once that is picked player 2 is shown a flip coin button. This isn’t fucking hard except the sync between apps which you do via db on the back end.
from numpy import median from pprint import pprint players = {"p1" : [1,0,1], ## playing fair "p2" : [0,0,1], ## cheating "p2" : [1,1,0], ## cheating "p3" : [1,1,0], ## cheating "p4" : [0,0,1]} ## playing fair print("Initial rolls:") pprint(players) get_mode_coin = lambda x: int(median(x)) get_all_mode_coins = lambda x: [get_mode_coin(y) for y in x] for play in players: ## Players add the mode coin from their neigbours players[play] = players[play] + get_all_mode_coins(players.values()) print("First picks:") pprint(players) for play in players: ## Players collapse their collections to mode players[play] = [get_mode_coin(players[play])] print("Last modes:", players) print("Final choice:", get_mode_coin([x for x in players.values()]))Which as you can see, is no better than simply picking the median coin from the initial rolls. I thank you for wasting your time.
The last player (or server) still can choose a result, because it knows other tosses before making it’s own.
Second attempt that factors in cheating.
spoiler
from numpy import median from random import choice from pprint import pprint # Functions get_mode_coin = lambda x: int(median(x)) def pick(player, wants): for neighbor in players: if player != neighbor: neighbor_purse = players[neighbor]["purse"] if wants: if wants in neighbor_purse: # Cheat players[play]["purse"] = players[play]["purse"] + [wants] continue players[play]["purse"] = players[play]["purse"] + [choice(neighbor_purse)] # Main players = {"p1" : {"purse": [1,0,1], "wants": False}, ## playing fair "p2" : {"purse": [0,0,1], "wants": 0}, ## cheating "p3" : {"purse": [1,1,0], "wants": 1}, ## cheating "p4" : {"purse": [1,1,0], "wants": 0}, ## cheating "p5" : {"purse": [0,0,1], "wants": False}} ## playing fair for play in players: ## Players pick a desired coin from each of their neighbours pick(play, players[play]["wants"]) print("First picks:") pprint(players) for play in players: ## Players collapse their collections to mode players[play] = [get_mode_coin(players[play]["purse"])] print("Last modes:", players) print("Final choice:", get_mode_coin([x for x in players.values()]))So, my method doesn’t work
First person gets a box showing heads tails. Once that is picked player 2 is shown a flip coin button. This isn’t fucking hard except the sync between apps which you do via db on the back end.