D. Marc Kilgour

Wilfrid Laurier University - Department of Mathematics

SCHOLARLY PAPERS

26

DOWNLOADS
Rank 40,007

SSRN RANKINGS

Top 40,007

in Total Papers Downloads

2,664

TOTAL CITATIONS
Rank 28,600

SSRN RANKINGS

Top 28,600

in Total Papers Citations

44

Scholarly Papers (26)

Actions:
Email selected abstracts
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 308 (207,285)
Citation 1

Abstract:

Loading...

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

2.

Satisfaction Approval Voting

Downloads 233 (275,153)
Citation 3

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 144 (424,228)
Citation 3

Abstract:

Loading...

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 89 (609,083)

Abstract:

Loading...

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 159 (390,226)
Citation 1

Abstract:

Loading...

Coalition formation, dynamic analysis, single-peakedness, legislatures

4.

Kingmakers and Leaders in Coalition Formation

Downloads 149 (411,995)

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 87 (618,036)

Abstract:

Loading...

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 62 (747,771)

Abstract:

Loading...

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

5.

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 137 (440,361)
Citation 2

Abstract:

Loading...

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

6.

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 134 (448,227)
Citation 2

Abstract:

Loading...

Fair division, indivisible items, envy-freeness

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 132 (453,661)

Abstract:

Loading...

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

8.

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 130 (459,303)
Citation 6

Abstract:

Loading...

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

9.

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 126 (470,561)
Citation 4

Abstract:

Loading...

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

10.

Narrowing the Field in Elections: The Next-Two Rule

Downloads 108 (528,740)

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 55 (793,875)

Abstract:

Loading...

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 53 (808,201)

Abstract:

Loading...

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

11.

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 101 (554,908)

Abstract:

Loading...

Voting power, presidential elections, Electoral College

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 94 (581,782)
Citation 3

Abstract:

Loading...

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 92 (589,575)
Citation 1

Abstract:

Loading...

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 89 (601,641)

Abstract:

Loading...

power sharing, duel, repeated game, civil war

15.

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

Downloads 86 (614,534)
Citation 8

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 86 (622,606)
Citation 8

Abstract:

Loading...

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

Abstract:

Loading...

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 84 (623,102)

Abstract:

Loading...

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

17.

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 80 (640,879)

Abstract:

Loading...

Deferred-acceptance algorithm, minimax algorithm, matchings, stability

18.

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 73 (674,100)
Citation 1

Abstract:

Loading...

approval voting, Condorcet jury theorem, groupthink, referendums

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 71 (689,316)
Citation 5

Abstract:

Loading...

Fair division, Indivisible items, Borda score, Computational study

20.

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 71 (684,218)
Citation 2

Abstract:

Loading...

Power sharing, duel, game, deterrence, terrorism

21.

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 70 (689,316)
Citation 1

Abstract:

Loading...

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

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 59 (751,744)
Citation 4

Abstract:

Loading...

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

23.

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 39 (901,912)

Abstract:

Loading...

24.

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 32 (969,219)

Abstract:

Loading...

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

25.

Making Tennis Fairer: The Grand Tiebreaker

Number of pages: 21 Posted: 19 Feb 2025
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 7 (1,262,172)

Abstract:

Loading...

26.

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

Abstract:

Loading...