D. Marc Kilgour

Wilfrid Laurier University - Department of Mathematics

SCHOLARLY PAPERS

25

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26

CROSSREF CITATIONS

8

Scholarly Papers (25)

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1.

Catch-Up: A Rule that Makes Service Sports More Competitive

The American Mathematical Monthly, forthcoming, 2018
Number of pages: 31 Posted: 19 Dec 2016 Last Revised: 18 Aug 2018
Steven J. Brams, Mehmet Ismail, D. Marc Kilgour and Walter Stromquist
New York University (NYU) - Wilf Family Department of Politics, King’s College London - Department of Political Economy, Wilfrid Laurier University - Department of Mathematics and Bryn Mawr College
Downloads 279 (188,616)
Citation 1

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sports rules, service sports, Markov processes, competitiveness, fairness, strategy-proofness

2.

Satisfaction Approval Voting

Downloads 181 (284,069)
Citation 1

Satisfaction Approval Voting

Number of pages: 36 Posted: 16 May 2010
Steven J. Brams and D. Marc Kilgour
New York University (NYU) - Wilf Family Department of Politics and Wilfrid Laurier University - Department of Mathematics
Downloads 123 (390,323)
Citation 3

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multiwinner election, voting, approval ballot, proportional representation, apportionment, Game Theory Society

Satisfaction Approval Voting

APSA 2010 Annual Meeting Paper
Number of pages: 37 Posted: 19 Jul 2010 Last Revised: 30 Aug 2010
Steven J. Brams and D. Marc Kilgour
New York University (NYU) - Wilf Family Department of Politics and Wilfrid Laurier University - Department of Mathematics
Downloads 58 (626,981)

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multiwinner election, voting, approval ballot, proportional representation, apportionment

3.

Single-Peakedness and Disconnected Coalitions

Number of pages: 36 Posted: 06 Apr 2002
Steven J. Brams, Michael A. Jones and D. Marc Kilgour
New York University (NYU) - Wilf Family Department of Politics, Mathematical Reviews and Wilfrid Laurier University - Department of Mathematics
Downloads 138 (356,171)
Citation 1

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Coalition formation, dynamic analysis, single-peakedness, legislatures

4.

How to Divide Things Fairly

Number of pages: 23 Posted: 07 Sep 2014
Steven J. Brams, D. Marc Kilgour and Christian Klamler
New York University (NYU) - Wilf Family Department of Politics, Wilfrid Laurier University - Department of Mathematics and University of Graz
Downloads 117 (403,264)
Citation 2

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Fair division, indivisible items, envy-freeness

5.

Kingmakers and Leaders in Coalition Formation

Downloads 117 (403,264)

Kingmakers and Leaders in Coalition Formation

FEEM Working Paper No. 41.2009
Number of pages: 41 Posted: 08 Aug 2009 Last Revised: 09 Oct 2009
D. Marc Kilgour and Steven J. Brams
Wilfrid Laurier University - Department of Mathematics and New York University (NYU) - Wilf Family Department of Politics
Downloads 74 (549,803)

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Coalition, Fallback Procedure, Kingmaker, Leader, Cardinally Single-Peaked, Ordinally Single-Peaked

Kingmakers and Leaders in Coalition Formation

APSA 2009 Toronto Meeting Paper
Number of pages: 43 Posted: 13 Aug 2009 Last Revised: 17 Jun 2010
Steven J. Brams and D. Marc Kilgour
New York University (NYU) - Wilf Family Department of Politics and Wilfrid Laurier University - Department of Mathematics
Downloads 43 (718,542)

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coalition formation, fallback procedure, kingmakers, leaders, US Supreme Court

6.

Forming Stable Coalitions: The Process Matters

Number of pages: 51 Posted: 03 Dec 2003
Steven J. Brams, Michael A. Jones and D. Marc Kilgour
New York University (NYU) - Wilf Family Department of Politics, Mathematical Reviews and Wilfrid Laurier University - Department of Mathematics
Downloads 116 (405,784)
Citation 4

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Coalition dynamics, Fallback bargaining, Manipulability, Legislatures, US Supreme Court

7.

How Democracy Resolves Conflict in Difficult Games

GAMES, GROUPS, AND THE GLOBAL GOOD, Simon Levin, ed., Springer, Forthcoming
Number of pages: 21 Posted: 24 Dec 2008
Steven J. Brams and D. Marc Kilgour
New York University (NYU) - Wilf Family Department of Politics and Wilfrid Laurier University - Department of Mathematics
Downloads 115 (408,386)

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Democracy, voting, game theory, public goods, cooperation, Bible

8.

Multiwinner Approval Voting: An Apportionment Approach

Number of pages: 43 Posted: 28 Mar 2017
Steven J. Brams, D. Marc Kilgour and Richard Potthoff
New York University (NYU) - Wilf Family Department of Politics, Wilfrid Laurier University - Department of Mathematics and Duke University - Department of Political Science
Downloads 114 (411,029)
Citation 2

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Approval Voting, Apportionment Methods, Multiple Winners, Proportional Representation, Cumulative Voting

9.

Two-Person Fair Division of Indivisible Items: An Efficient, Envy-Free Algorithm

Number of pages: 34 Posted: 05 Jun 2013
Steven J. Brams, D. Marc Kilgour and Christian Klamler
New York University (NYU) - Wilf Family Department of Politics, Wilfrid Laurier University - Department of Mathematics and University of Graz
Downloads 110 (421,822)
Citation 6

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two-person fair division, indivisible items, envy-freeness, efficiency, algorithm

10.

Voting Power in the Electoral College: The Noncompetitive States Count, Too

Number of pages: 30 Posted: 11 Jun 2014
Steven J. Brams and D. Marc Kilgour
New York University (NYU) - Wilf Family Department of Politics and Wilfrid Laurier University - Department of Mathematics
Downloads 91 (479,875)

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Voting power, presidential elections, Electoral College

11.

Narrowing the Field in Elections: The Next-Two Rule

Downloads 90 (483,125)

Narrowing the Field in Elections: The Next-Two Rule

APSA 2011 Annual Meeting Paper
Number of pages: 34 Posted: 01 Aug 2011 Last Revised: 14 Aug 2011
Steven J. Brams and D. Marc Kilgour
New York University (NYU) - Wilf Family Department of Politics and Wilfrid Laurier University - Department of Mathematics
Downloads 47 (691,876)

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Contenders, runoff elections, deservingness of candidates, apportionment

Narrowing the Field in Elections: The Next-Two Rule

Number of pages: 33 Posted: 22 Apr 2011
Steven J. Brams and D. Marc Kilgour
New York University (NYU) - Wilf Family Department of Politics and Wilfrid Laurier University - Department of Mathematics
Downloads 43 (718,542)

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voting, contenders in elections, runoffs, apportionment methods, fairness

12.

Maximin Envy-Fee Division of Indivisible Items

Number of pages: 28 Posted: 25 Mar 2015
Steven J. Brams, D. Marc Kilgour and Christian Klamler
New York University (NYU) - Wilf Family Department of Politics, Wilfrid Laurier University - Department of Mathematics and University of Graz
Downloads 78 (526,822)
Citation 3

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Fair division, indivisible items, maximin, envy-free

13.

An Algorithm for the Proportional Division of Indivisible Items

Number of pages: 29 Posted: 11 Jun 2014
Steven J. Brams, D. Marc Kilgour and Christian Klamler
New York University (NYU) - Wilf Family Department of Politics, Wilfrid Laurier University - Department of Mathematics and University of Graz
Downloads 74 (542,964)
Citation 1

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Fair division, indivisible items, proportionality, envy-freeness, maximinality

14.

The Instability of Power Sharing

Number of pages: 27 Posted: 28 Nov 2007
Steven J. Brams and D. Marc Kilgour
New York University (NYU) - Wilf Family Department of Politics and Wilfrid Laurier University - Department of Mathematics
Downloads 73 (547,011)

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power sharing, duel, repeated game, civil war

15.

The Undercut Procedure: An Algorithm for the Envy-Free Division of Indivisible Items

Downloads 72 (551,239)

The Undercut Procedure: An Algorithm for the Envy-Free Division of Indivisible Items

Number of pages: 38 Posted: 24 Dec 2008 Last Revised: 26 Aug 2009
Steven J. Brams, D. Marc Kilgour and Christian Klamler
New York University (NYU) - Wilf Family Department of Politics, Wilfrid Laurier University - Department of Mathematics and University of Graz
Downloads 72 (558,462)
Citation 8

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Fair division, indivisible items, envy-freeness, manipulability, maximin strategy

The Undercut Procedure: An Algorithm for the Envy-Free Division of Indivisible Items

APSA 2009 Toronto Meeting Paper
Posted: 13 Aug 2009
D. Marc Kilgour, Steven J. Brams and Christian Klamler
Wilfrid Laurier University - Department of Mathematics, New York University (NYU) - Wilf Family Department of Politics and University of Graz

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16.

A Simple Bargaining Mechanism that Elicits Truthful Reservation Prices

Number of pages: 20 Posted: 21 Feb 2011 Last Revised: 05 Aug 2012
Steven J. Brams, Todd R. Kaplan and D. Marc Kilgour
New York University (NYU) - Wilf Family Department of Politics, University of Exeter Business School - Department of Economics and Wilfrid Laurier University - Department of Mathematics
Downloads 71 (555,485)

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Bargaining, truth-telling mechanisms, probabilistic implementation, incomplete information

17.

When Does Approval Voting Make the 'Right Choices'?

Number of pages: 33 Posted: 21 Oct 2011
Steven J. Brams and D. Marc Kilgour
New York University (NYU) - Wilf Family Department of Politics and Wilfrid Laurier University - Department of Mathematics
Downloads 62 (595,981)
Citation 1

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approval voting, Condorcet jury theorem, groupthink, referendums

18.

Stabilizing Power Sharing

Number of pages: 30 Posted: 14 Nov 2007 Last Revised: 27 Nov 2007
Steven J. Brams and D. Marc Kilgour
New York University (NYU) - Wilf Family Department of Politics and Wilfrid Laurier University - Department of Mathematics
Downloads 59 (610,792)
Citation 2

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Power sharing, duel, game, deterrence, terrorism

19.

Comparing Direct Algorithms for Two-Player Fair Division of Indivisible Items - A Computational Study

Number of pages: 26 Posted: 11 Jul 2017
D. Marc Kilgour and Rudolf Vetschera
Wilfrid Laurier University - Department of Mathematics and University of Vienna Department of Business Decisions and Analytics
Downloads 55 (636,975)
Citation 4

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Fair division, Indivisible items, Borda score, Computational study

20.

Inducible Games: Using Tit-for-Tat to Stabilize Outcomes

Number of pages: 40 Posted: 07 Oct 2012
Steven J. Brams and D. Marc Kilgour
New York University (NYU) - Wilf Family Department of Politics and Wilfrid Laurier University - Department of Mathematics
Downloads 53 (642,474)
Citation 1

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2 x 2 games, tit-for-tat, inducibility, Israel-Iran Conflict, nuclear weapons

21.

Two-Sided Matchings: An Algorithm for Ensuring They are Minimax and Pareto-Optimal

Number of pages: 30 Posted: 08 Jul 2013
Steven J. Brams and D. Marc Kilgour
New York University (NYU) - Wilf Family Department of Politics and Wilfrid Laurier University - Department of Mathematics
Downloads 51 (653,554)

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Deferred-acceptance algorithm, minimax algorithm, matchings, stability

22.

Stabilizing Unstable Outcomes in Prediction Games

Number of pages: 34 Posted: 20 Mar 2017
Steven J. Brams and D. Marc Kilgour
New York University (NYU) - Wilf Family Department of Politics and Wilfrid Laurier University - Department of Mathematics
Downloads 47 (676,768)
Citation 3

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Noncooperative game theory, prediction, Nash equilibrium, 1962 Cuban missile crisis, 2015 Iran-Israel conflict

23.

Coordination of Transportation and Quantity Discount Decisions, with Coalition Formation

International Journal of Production Research, 52(17), 5115-5130.
Number of pages: 25 Posted: 04 Dec 2017
Ginger Ke, James H. Bookbinder and D. Marc Kilgour
Memorial University, University of Waterloo and Wilfrid Laurier University - Department of Mathematics
Downloads 22 (863,901)

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Transportation; Discount; Supply Chain Coordination; Shipment Consolidation; Shapley value

24.

Fairer Shootouts in Soccer: The m - n Rule

Number of pages: 25 Posted: 14 Feb 2023
Steven J. Brams, Mehmet Ismail and D. Marc Kilgour
New York University (NYU) - Wilf Family Department of Politics, King’s College London - Department of Political Economy and Wilfrid Laurier University - Department of Mathematics
Downloads 15 (931,240)

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25.

Competitive Fair Division

Posted: 23 Sep 2001
Steven J. Brams and D. Marc Kilgour
New York University (NYU) - Wilf Family Department of Politics and Wilfrid Laurier University - Department of Mathematics

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