Voting paradoxes and group coherence. The Condorcet efficiency of voting rules. Zbl 1252.91001
Gehrlein, William V.; Lepelley, Dominique |
|
2011
|
Condorcet’s paradox. Zbl 1122.91027
Gehrlein, William V. |
|
2006
|
The probability of the paradox of voting: A computable solution. Zbl 0351.90002
Gehrlein, William V.; Fishburn, Peter C. |
|
1976
|
Condorcet’s paradox. Zbl 0512.90009
Gehrlein, William V. |
|
1983
|
The Condorcet criterion and committee selection. Zbl 0568.90006
Gehrlein, William V. |
|
1985
|
Elections, voting rules and paradoxical outcomes. Zbl 1429.91003
Gehrlein, William V.; Lepelley, Dominique |
|
2017
|
Condorcet’s paradox and the likelihood of its occurrence: Different perspectives on balanced preferences. Zbl 1030.91500
Gehrlein, William V. |
|
2002
|
Which scoring rule maximizes condorcet efficiency under IAC? Zbl 1126.91017
Cervone, Davide P.; Gehrlein, William V.; Zwicker, William S. |
|
2005
|
Condorcet efficiency and constant scoring rules. Zbl 0479.90015
Gehrlein, William V. |
|
1982
|
Probabilities of election outcomes for large electorates. Zbl 0399.90007
Gehrlein, William V.; Fishburn, Peter C. |
|
1978
|
Obtaining representations for probabilities of voting outcomes with effectively unlimited precision integer arithmetic. Zbl 1072.91530
Gehrlein, William V. |
|
2002
|
Condorcet’s paradox and the Condorcet efficiency of voting rules. Zbl 0869.90013
Gehrlein, William V. |
|
1997
|
Niche numbers. Zbl 0758.05092
Fishburn, P. C.; Gehrlein, W. V. |
|
1992
|
Collective rationality versus distribution of power for binary social choice functions. Zbl 0374.90001
Fishburn, Peter C.; Gehrlein, William V. |
|
1977
|
Majority efficiencies for simple voting procedures: Summary and interpretation. Zbl 0482.90006
Fishburn, Peter C.; Gehrlein, William V. |
|
1982
|
Representation for quadrivariate normal positive orthant probabilities. Zbl 0411.62030
Gehrlein, William V. |
|
1979
|
Minimizing bumps in linear extensions of ordered sets. Zbl 0595.06004
Fishburn, Peter C.; Gehrlein, William V. |
|
1986
|
Proportions of profiles with a majority candidate. Zbl 0408.90011
Gehrlein, William V.; Fishburn, Peter C. |
|
1979
|
Robustness of positional scoring over subsets of alternatives. Zbl 0417.90017
Gehrlein, William V.; Fishburn, Peter C. |
|
1980
|
Balance theorems for height-2 posets. Zbl 0769.06004
Trotter, W. T.; Gehrlein, W. G.; Fishburn, P. C. |
|
1992
|
Borda’s paradox with weighted scoring rules. Zbl 1278.91051
Diss, Mostapha; Gehrlein, William V. |
|
2012
|
Condorcet efficiency: A preference for indifference. Zbl 1069.91528
Gehrlein, William V.; Valognes, Fabrice |
|
2001
|
The Condorcet efficiency of Borda Rule with anonymous voters. Zbl 0977.91014
Gehrlein, William V.; Lepelley, Dominique |
|
2001
|
The Condorcet efficiency of approval voting and the probability of electing the Condorcet loser. Zbl 0953.91006
Gehrlein, William V.; Lepelley, Dominique |
|
1998
|
Towards a theory of elections with probabilistic preferences. Zbl 0376.90011
Fishburn, Peter C.; Gehrlein, William V. |
|
1977
|
Condorcet proportions and Kelly’s conjectures. Zbl 0427.90007
Fishburn, Peter C.; Gehrlein, William V.; Maskin, Eric |
|
1979
|
A comparative analysis of methods for constructing weak orders from partial orders. Zbl 0324.68071
Fishburn, Peter C.; Gehrlein, William V. |
|
1975
|
Probabilities of election outcomes with two parameters: the relative impact of unifying and polarizing candidates. Zbl 1124.91322
Gehrlein, William V. |
|
2005
|
The impact of voters’ preference diversity on the probability of some electoral outcomes. Zbl 1296.91101
Gehrlein, William V.; Moyouwou, Issofa; Lepelley, Dominique |
|
2013
|
Condorcet efficiencies under the maximal culture condition. Zbl 1066.91519
Gehrlein, William V.; Lepelley, Dominique |
|
1999
|
Condorcet winners on four candidates with anonymous voters. Zbl 0983.91019
Gehrlein, William V. |
|
2001
|
The probability of intransitivity of pairwise comparisons in individual preference. Zbl 0675.90003
Gehrlein, William V. |
|
1989
|
The effect of social homogeneity on coincidence probabilities for pairwise proportional lottery and simple majority rules. Zbl 0761.90005
Gehrlein, William V.; Berg, Sven |
|
1992
|
On methods for generating random partial orders. Zbl 0606.90078
Gehrlein, William V. |
|
1986
|
On the probability of observing Borda’s paradox. Zbl 1230.91037
Gehrlein, William V.; Lepelley, Dominique |
|
2010
|
Linear extension majority cycles for small (n\(\leq 9)\) partial orders. Zbl 0708.06003
Gehrlein, W. V.; Fishburn, P. C. |
|
1990
|
The mathematics of preference, choice and order. Essays in honor of Peter C. Fishburn. Zbl 1155.91007
|
|
2009
|
Alternative methods of constructing strict weak orders from interval orders. Zbl 0302.92013
Fishburn, Peter C.; Gehrlein, William V. |
|
1974
|
Scoring rule and majority agreements for large electorates with arbitrary preferences. Zbl 0479.90014
Gehrlein, William V.; Fishburn, Peter C. |
|
1982
|
The effectiveness of weighted scoring rules when pairwise majority rule cycles exist. Zbl 1069.91024
Gehrlein, William V. |
|
2004
|
Condorcet efficiency of simple voting rules for large electorates. Zbl 0772.90023
Gehrlein, William V. |
|
1992
|
A comparison of algorithms for minimizing bumps in linear extensions of partial orders. Zbl 0615.90007
Gehrlein, William V.; Fishburn, Peter C. |
|
1987
|
A comparison of theoretical and empirical evaluations of the Borda compromise. Zbl 1306.91057
Gehrlein, William V.; Plassmann, Florenz |
|
2014
|
The sensitivity of weight selection for scoring rules to profile proximity to single-peaked preferences. Zbl 1132.91397
Gehrlein, William V. |
|
2006
|
Strong Condorcet efficiency of scoring rules. Zbl 0963.91039
Lepelley, D.; Gehrlein, W. V. |
|
2000
|
The sensitivity of weight selection on the Condorcet efficiency of weighted scoring rules. Zbl 1066.91518
Gehrlein, William V. |
|
1998
|
A two-stage least cost credit scoring model. Zbl 0887.90102
Gehrlein, William V.; Wagner, Bret J. |
|
1997
|
Single-stage election procedures for large electorates. Zbl 0461.90005
Gehrlein, William V. |
|
1981
|
Optimal pairs of score vectors for positional scoring rules. Zbl 0494.90006
Gehrlein, W. V.; Gopinath, B.; Lagarias, J. C.; Fishburn, P. C. |
|
1982
|
Aggregation theory for SSB utility functionals. Zbl 0679.90007
Fishburn, Peter C.; Gehrlein, William V. |
|
1987
|
The smallest graphs with niche number three. Zbl 0804.05070
Gehrlein, W. V.; Fishburn, P. C. |
|
1994
|
Should voters be required to rank candidates in an election? Zbl 1391.91075
Gehrlein, William V.; Lepelley, Dominique; Plassmann, Florenz |
|
2016
|
Condorcet efficiency and social homogeneity. Zbl 0905.90006
Gehrlein, William V. |
|
1995
|
The expected likelihood of transitivity for a probabilistic chooser. Zbl 0708.90004
Gehrlein, William V. |
|
1990
|
Coincidence probabilities for simple majority and proportional lottery rules. Zbl 0725.90021
Gehrlein, William V. |
|
1991
|
The unexpected behavior of plurality rule. Zbl 1186.91078
Gehrlein, William V.; Lepelley, Dominique |
|
2009
|
Pick-and-choose heuristics for partial set covering. Zbl 0676.05034
Fishburn, P. C.; Gehrlein, W. V. |
|
1989
|
The probability of a Condorcet winner with a small number of voters. Zbl 0906.90042
Gehrlein, William V. |
|
1998
|
Frequency estimates for linear extension majority cycles on partial orders. Zbl 0755.06001
Gehrlein, W. V. |
|
1991
|
An analysis of simple counting methods for ordering incomplete ordinal data. Zbl 0372.62096
Gehrlein, William V.; Fishburn, Peter C. |
|
1977
|
The expected likelihood of transitivity: A survey. Zbl 0806.90004
Gehrlein, William V. |
|
1994
|
Linear extension majority cycles in height-1 orders. Zbl 0708.06002
Ewacha, Kevin; Fishburn, Peter C.; Gehrlein, W. V. |
|
1990
|
Powers of subgroups in voting bodies. Zbl 0556.90099
Fishburn, P. C.; Gehrlein, W. V. |
|
1984
|
Linear extension majority cycles on partial orders. Zbl 0715.90008
Gehrlein, William V.; Fishburn, Peter C. |
|
1990
|
The power of a cohesive subgroup within a voting body. Zbl 0574.90002
Fishburn, P. C.; Gehrlein, W. V. |
|
1985
|
Peter Fishburn. Zbl 1482.01017
Brams, Steven; Gehrlein, William; Roberts, Fred; Salles, Maurice |
|
2021
|
“Problem specialization” in mechanical decision processes. Zbl 0434.90050
Gehrlein, William V. |
|
1980
|
Borda efficiency of constant scoring rules with large electorates. Zbl 0463.90009
Gehrlein, William V. |
|
1981
|
Niche number four. Zbl 0871.05038
Gehrlein, W. V.; Fishburn, P. |
|
1996
|
The expected likelihood of transitivity for probabilistic choosers with single-peaked preferences. Zbl 0781.90006
Gehrlein, William V. |
|
1993
|
Information overload in mechanical processes. Zbl 0356.06004
Gehrlein, William V.; Fishburn, Peter C. |
|
1976
|
Probability calculations for transitivity of the simple majority rule. Zbl 1328.91071
Gehrlein, William V. |
|
1988
|
A note on approval voting and electing the Condorcet loser. Zbl 1347.91121
Gehrlein, William V.; Lepelley, Dominique; Moyouwou, Issofa |
|
2016
|
Condorcet’s paradox with three candidates. Zbl 1173.91353
Gehrlein, William V. |
|
2009
|
Obituary: Peter C. Fishburn (1936–2021). Zbl 1480.01029
Brams, Steven J.; Gehrlein, William V.; Roberts, Fred S. |
|
2022
|
Condorcet efficiency of constant scoring rules for large electorates. Zbl 1273.91135
Gehrlein, William V. |
|
1982
|
Obituary: Peter C. Fishburn (1936–2021). Zbl 1480.01029
Brams, Steven J.; Gehrlein, William V.; Roberts, Fred S. |
|
2022
|
Peter Fishburn. Zbl 1482.01017
Brams, Steven; Gehrlein, William; Roberts, Fred; Salles, Maurice |
|
2021
|
Elections, voting rules and paradoxical outcomes. Zbl 1429.91003
Gehrlein, William V.; Lepelley, Dominique |
|
2017
|
Should voters be required to rank candidates in an election? Zbl 1391.91075
Gehrlein, William V.; Lepelley, Dominique; Plassmann, Florenz |
|
2016
|
A note on approval voting and electing the Condorcet loser. Zbl 1347.91121
Gehrlein, William V.; Lepelley, Dominique; Moyouwou, Issofa |
|
2016
|
A comparison of theoretical and empirical evaluations of the Borda compromise. Zbl 1306.91057
Gehrlein, William V.; Plassmann, Florenz |
|
2014
|
The impact of voters’ preference diversity on the probability of some electoral outcomes. Zbl 1296.91101
Gehrlein, William V.; Moyouwou, Issofa; Lepelley, Dominique |
|
2013
|
Borda’s paradox with weighted scoring rules. Zbl 1278.91051
Diss, Mostapha; Gehrlein, William V. |
|
2012
|
Voting paradoxes and group coherence. The Condorcet efficiency of voting rules. Zbl 1252.91001
Gehrlein, William V.; Lepelley, Dominique |
|
2011
|
On the probability of observing Borda’s paradox. Zbl 1230.91037
Gehrlein, William V.; Lepelley, Dominique |
|
2010
|
The mathematics of preference, choice and order. Essays in honor of Peter C. Fishburn. Zbl 1155.91007
|
|
2009
|
The unexpected behavior of plurality rule. Zbl 1186.91078
Gehrlein, William V.; Lepelley, Dominique |
|
2009
|
Condorcet’s paradox with three candidates. Zbl 1173.91353
Gehrlein, William V. |
|
2009
|
Condorcet’s paradox. Zbl 1122.91027
Gehrlein, William V. |
|
2006
|
The sensitivity of weight selection for scoring rules to profile proximity to single-peaked preferences. Zbl 1132.91397
Gehrlein, William V. |
|
2006
|
Which scoring rule maximizes condorcet efficiency under IAC? Zbl 1126.91017
Cervone, Davide P.; Gehrlein, William V.; Zwicker, William S. |
|
2005
|
Probabilities of election outcomes with two parameters: the relative impact of unifying and polarizing candidates. Zbl 1124.91322
Gehrlein, William V. |
|
2005
|
The effectiveness of weighted scoring rules when pairwise majority rule cycles exist. Zbl 1069.91024
Gehrlein, William V. |
|
2004
|
Condorcet’s paradox and the likelihood of its occurrence: Different perspectives on balanced preferences. Zbl 1030.91500
Gehrlein, William V. |
|
2002
|
Obtaining representations for probabilities of voting outcomes with effectively unlimited precision integer arithmetic. Zbl 1072.91530
Gehrlein, William V. |
|
2002
|
Condorcet efficiency: A preference for indifference. Zbl 1069.91528
Gehrlein, William V.; Valognes, Fabrice |
|
2001
|
The Condorcet efficiency of Borda Rule with anonymous voters. Zbl 0977.91014
Gehrlein, William V.; Lepelley, Dominique |
|
2001
|
Condorcet winners on four candidates with anonymous voters. Zbl 0983.91019
Gehrlein, William V. |
|
2001
|
Strong Condorcet efficiency of scoring rules. Zbl 0963.91039
Lepelley, D.; Gehrlein, W. V. |
|
2000
|
Condorcet efficiencies under the maximal culture condition. Zbl 1066.91519
Gehrlein, William V.; Lepelley, Dominique |
|
1999
|
The Condorcet efficiency of approval voting and the probability of electing the Condorcet loser. Zbl 0953.91006
Gehrlein, William V.; Lepelley, Dominique |
|
1998
|
The sensitivity of weight selection on the Condorcet efficiency of weighted scoring rules. Zbl 1066.91518
Gehrlein, William V. |
|
1998
|
The probability of a Condorcet winner with a small number of voters. Zbl 0906.90042
Gehrlein, William V. |
|
1998
|
Condorcet’s paradox and the Condorcet efficiency of voting rules. Zbl 0869.90013
Gehrlein, William V. |
|
1997
|
A two-stage least cost credit scoring model. Zbl 0887.90102
Gehrlein, William V.; Wagner, Bret J. |
|
1997
|
Niche number four. Zbl 0871.05038
Gehrlein, W. V.; Fishburn, P. |
|
1996
|
Condorcet efficiency and social homogeneity. Zbl 0905.90006
Gehrlein, William V. |
|
1995
|
The smallest graphs with niche number three. Zbl 0804.05070
Gehrlein, W. V.; Fishburn, P. C. |
|
1994
|
The expected likelihood of transitivity: A survey. Zbl 0806.90004
Gehrlein, William V. |
|
1994
|
The expected likelihood of transitivity for probabilistic choosers with single-peaked preferences. Zbl 0781.90006
Gehrlein, William V. |
|
1993
|
Niche numbers. Zbl 0758.05092
Fishburn, P. C.; Gehrlein, W. V. |
|
1992
|
Balance theorems for height-2 posets. Zbl 0769.06004
Trotter, W. T.; Gehrlein, W. G.; Fishburn, P. C. |
|
1992
|
The effect of social homogeneity on coincidence probabilities for pairwise proportional lottery and simple majority rules. Zbl 0761.90005
Gehrlein, William V.; Berg, Sven |
|
1992
|
Condorcet efficiency of simple voting rules for large electorates. Zbl 0772.90023
Gehrlein, William V. |
|
1992
|
Coincidence probabilities for simple majority and proportional lottery rules. Zbl 0725.90021
Gehrlein, William V. |
|
1991
|
Frequency estimates for linear extension majority cycles on partial orders. Zbl 0755.06001
Gehrlein, W. V. |
|
1991
|
Linear extension majority cycles for small (n\(\leq 9)\) partial orders. Zbl 0708.06003
Gehrlein, W. V.; Fishburn, P. C. |
|
1990
|
The expected likelihood of transitivity for a probabilistic chooser. Zbl 0708.90004
Gehrlein, William V. |
|
1990
|
Linear extension majority cycles in height-1 orders. Zbl 0708.06002
Ewacha, Kevin; Fishburn, Peter C.; Gehrlein, W. V. |
|
1990
|
Linear extension majority cycles on partial orders. Zbl 0715.90008
Gehrlein, William V.; Fishburn, Peter C. |
|
1990
|
The probability of intransitivity of pairwise comparisons in individual preference. Zbl 0675.90003
Gehrlein, William V. |
|
1989
|
Pick-and-choose heuristics for partial set covering. Zbl 0676.05034
Fishburn, P. C.; Gehrlein, W. V. |
|
1989
|
Probability calculations for transitivity of the simple majority rule. Zbl 1328.91071
Gehrlein, William V. |
|
1988
|
A comparison of algorithms for minimizing bumps in linear extensions of partial orders. Zbl 0615.90007
Gehrlein, William V.; Fishburn, Peter C. |
|
1987
|
Aggregation theory for SSB utility functionals. Zbl 0679.90007
Fishburn, Peter C.; Gehrlein, William V. |
|
1987
|
Minimizing bumps in linear extensions of ordered sets. Zbl 0595.06004
Fishburn, Peter C.; Gehrlein, William V. |
|
1986
|
On methods for generating random partial orders. Zbl 0606.90078
Gehrlein, William V. |
|
1986
|
The Condorcet criterion and committee selection. Zbl 0568.90006
Gehrlein, William V. |
|
1985
|
The power of a cohesive subgroup within a voting body. Zbl 0574.90002
Fishburn, P. C.; Gehrlein, W. V. |
|
1985
|
Powers of subgroups in voting bodies. Zbl 0556.90099
Fishburn, P. C.; Gehrlein, W. V. |
|
1984
|
Condorcet’s paradox. Zbl 0512.90009
Gehrlein, William V. |
|
1983
|
Condorcet efficiency and constant scoring rules. Zbl 0479.90015
Gehrlein, William V. |
|
1982
|
Majority efficiencies for simple voting procedures: Summary and interpretation. Zbl 0482.90006
Fishburn, Peter C.; Gehrlein, William V. |
|
1982
|
Scoring rule and majority agreements for large electorates with arbitrary preferences. Zbl 0479.90014
Gehrlein, William V.; Fishburn, Peter C. |
|
1982
|
Optimal pairs of score vectors for positional scoring rules. Zbl 0494.90006
Gehrlein, W. V.; Gopinath, B.; Lagarias, J. C.; Fishburn, P. C. |
|
1982
|
Condorcet efficiency of constant scoring rules for large electorates. Zbl 1273.91135
Gehrlein, William V. |
|
1982
|
Single-stage election procedures for large electorates. Zbl 0461.90005
Gehrlein, William V. |
|
1981
|
Borda efficiency of constant scoring rules with large electorates. Zbl 0463.90009
Gehrlein, William V. |
|
1981
|
Robustness of positional scoring over subsets of alternatives. Zbl 0417.90017
Gehrlein, William V.; Fishburn, Peter C. |
|
1980
|
“Problem specialization” in mechanical decision processes. Zbl 0434.90050
Gehrlein, William V. |
|
1980
|
Representation for quadrivariate normal positive orthant probabilities. Zbl 0411.62030
Gehrlein, William V. |
|
1979
|
Proportions of profiles with a majority candidate. Zbl 0408.90011
Gehrlein, William V.; Fishburn, Peter C. |
|
1979
|
Condorcet proportions and Kelly’s conjectures. Zbl 0427.90007
Fishburn, Peter C.; Gehrlein, William V.; Maskin, Eric |
|
1979
|
Probabilities of election outcomes for large electorates. Zbl 0399.90007
Gehrlein, William V.; Fishburn, Peter C. |
|
1978
|
Collective rationality versus distribution of power for binary social choice functions. Zbl 0374.90001
Fishburn, Peter C.; Gehrlein, William V. |
|
1977
|
Towards a theory of elections with probabilistic preferences. Zbl 0376.90011
Fishburn, Peter C.; Gehrlein, William V. |
|
1977
|
An analysis of simple counting methods for ordering incomplete ordinal data. Zbl 0372.62096
Gehrlein, William V.; Fishburn, Peter C. |
|
1977
|
The probability of the paradox of voting: A computable solution. Zbl 0351.90002
Gehrlein, William V.; Fishburn, Peter C. |
|
1976
|
Information overload in mechanical processes. Zbl 0356.06004
Gehrlein, William V.; Fishburn, Peter C. |
|
1976
|
A comparative analysis of methods for constructing weak orders from partial orders. Zbl 0324.68071
Fishburn, Peter C.; Gehrlein, William V. |
|
1975
|
Alternative methods of constructing strict weak orders from interval orders. Zbl 0302.92013
Fishburn, Peter C.; Gehrlein, William V. |
|
1974
|