Subversion Repositories Local Hare Voting

## Compute Hare Ballot

##

## Tim Korb (jtk@cs.purdue.edu), May 2007

##

## A few definitions and notes...

##

## tally: dictionary in which the keys are candidate names and the

## values are lists of ballots currently assigned to that candidate

##

## ballot: list of candidates in the order determined by the voter

##

## winners: list of candidates that have reached the quota of ballots

## or have remained in the running long enough to be declared a winner

##

## losers: list of candidates that have been eliminated from the running

##

## Note that plurals are generally used to indicate lists of other

## items, e.g., ballots is a list of ballot items.

##

## To download the complete source distribution, use Subversion:

##

##	% svn co http://www.bikmort.com/hare

##

import sys

import math 

import random

fdOut = None

fTrace = 1

randcalls = 0

def trace(s):

    global fTrace, fdOut

    if fTrace: print >>fdOut, s

    return

def findWinner(winners, losers, tally, quota, nWinners):

    global randcalls

    cWin = quota       # number of votes for highest winner

    lWin = []          # list of candidates with highest votes

    for c in tally.keys():

        if c not in losers and c not in winners and len(tally[c]) >= cWin:

            if len(tally[c]) == cWin:

                lWin.append(c)

            else:

                lWin = [c]

                cWin = len(tally[c])

    if len(lWin) == 1:

        return lWin[0]

    elif len(lWin) > 1:

        trace("\tselecting winning candidate randomly from %s" % lWin)

        randcalls += 1

        return random.choice(lWin)

    # Check to see if only enough candidates remain

    ## TODO: sort by len(tally[c]) to choose larger winners first

    ## randomize and count if some with equal votes

    n = 0

    last = ""

    for c in tally.keys():

        if c not in winners and c not in losers:

            last = c

            n = n + 1

    if nWinners - len(winners) >= n:

        trace("\tremaining winner(s) have fewer than quota (%d) ballots" %

            quota)

        return last

    return

def redistributeWinner(winner, winners, losers, tally, quota):

    global randcalls

    excess = len(tally[winner]) - quota

    if excess <= 0:

        trace("\tno excess ballots to redistribute")

    else:

	lEffective = gatherEffectiveBallots(winner, winners, losers, tally)

        nRedistribute = min(excess, len(lEffective))

        trace("\tredistributing %d effective of %d excess ballot(s) at random from %s" %

              (nRedistribute, excess, winner))

        for ballot in random.sample(lEffective, nRedistribute):

            randcalls += 1

            trace("\trandom choice = %s" % ballot)

            tally[winner].remove(ballot)

            redistributeBallot(ballot, winners, losers, tally)

            nRedistribute -= 1

    traceTally(quota, tally)

def gatherEffectiveBallots(winner, winners, losers, tally):

    lEffective = []

    for ballot in tally[winner]:

        for candidateTo in ballot:

           if candidateTo not in winners and candidateTo not in losers:

                lEffective.append(ballot)

                break

    return lEffective

def redistributeBallot(ballot, winners, losers, tally):

    for candidateTo in ballot:

        if candidateTo not in winners and candidateTo not in losers:

            trace("\tto %s: %s" % (candidateTo, ballot))

            if not tally.has_key(candidateTo): tally[candidateTo] = []

            tally[candidateTo].append(ballot)

            ballot = ""

            break

    if ballot:

        trace("\tineffective ballot dropped: %s" % ballot)

def findLoser(losers, winners, tally):

    global randcalls

    cMin = sys.maxint  # least number of votes for candidate loser

    lMin = []          # list of candidates with least votes

    for c in tally.keys():

        if c not in losers and c not in winners and len(tally[c]) <= cMin:

            if len(tally[c]) == cMin:

                lMin.append(c)

            else:

                lMin = [c]

                cMin = len(tally[c])

    if len(lMin) == 0:

        return None

    elif len(lMin) == 1:

        return lMin[0]

    else:

        trace("\teliminating low candidate randomly from %s" % lMin)

        randcalls += 1

        return random.choice(lMin)

def redistributeLoser(loser, losers, winners, tally, quota):

    excess = len(tally[loser])

    if excess <= 0:

        trace("\tno ballots to redistribute")

    else:

        trace("\tredistributing %d ballot(s) from %s" % (excess, loser))

        while len(tally[loser]) > 0:

            ballot = tally[loser][0]

            tally[loser] = tally[loser][1:]

            redistributeBallot(ballot, winners, losers, tally)

    traceTally(quota, tally)

    return

def traceTally(quota, tally):

    global fTrace

    if not fTrace: return

    trace("\nCURRENT ASSIGNMENT OF BALLOTS (%d needed to win)" % quota)

    for candidate in tally.keys():

        trace("\t%s:" % candidate)

        for ballot in tally[candidate]:

            trace("\t\t%s" % ballot)

    return

# The basic Single Transferable Vote algorithm with Hare quota

#

# while winners < nWinners:

#   if a candidate has more than quota votes:

#       redistribute excess votes to next priority candidate

#   else:

#       eliminate lowest ranking candidate

#       redistribute wasted votes to next priority candidate

#

def dotally(nWinners, ballots):

    global randcalls

    randcalls = 0

    nBallots = len(ballots)

    quota = int(math.ceil((nBallots + 1.0)/(nWinners + 1)))

    trace("INPUT SUMMARY AND SINGLE RUN TRACE")

    trace("\t%d ballots" % nBallots)

    trace("\tChoosing %s winners" % nWinners)

    trace("\tNeed ceil((%d + 1)/(%d + 1)) = %d ballots to win" %

          (nBallots, nWinners, quota))

    # Create initial tally and statistics

    #

    tally = {}

    for ballot in ballots:

        candidate = ballot[0]

        if not tally.has_key(candidate):

            tally[candidate] = []

        tally[candidate].append(ballot)

    total1st = {}

    total2nd = {}

    totalMrk = {}

    for ballot in ballots:

        for c in ballot:

            total1st[c] = 0

            total2nd[c] = 0

            totalMrk[c] = 0

    for ballot in ballots:

        total1st[ballot[0]] += 1

        if len(ballot) > 1:

            total2nd[ballot[1]] += 1

        for c in ballot:

            totalMrk[c] += 1

    trace("\n\tBALLOT MARKS\t1ST\t2ND\tNONE")

    candidates = totalMrk.keys()

    candidates.sort()

    for c in candidates:

        trace("\t%-16s%3d\t%3d\t%4d" % (c, total1st[c], total2nd[c], len(ballots)-totalMrk[c]))

    traceTally(quota, tally)

    winners = []

    losers = []

    while len(winners) < nWinners:

        winner = findWinner(winners, losers, tally, quota, nWinners)

        if winner:

            winners.append(winner)

            trace("\nSELECTION #%d: %s" % (len(winners), winner))

            redistributeWinner(winner, winners, losers, tally, quota)

        else:

            loser = findLoser(losers, winners, tally)

            if loser:

                losers.append(loser)

                trace("\nELIMINATED: %s" % loser)

                redistributeLoser(loser, losers, winners, tally, quota)

            else:

                trace("Not enough chosen candidates to fill all positions")

                break

    trace("\nNumber of random choices made: %d" % randcalls)

    return winners