Year & Type 
Student Name 
Paper Title 
1986 MQP 
Anzivino, Anthony 
Worcester Family Health and Social Service Center Schedule Optimization 
1986 IQP 
Bennett, Dana 
WPI Scheduling as an Allocation Problem 
1987 MQP 
Day, Wayne 
Numerical Solutions of Implicit Differential Equations 
1987 IQP 
Hallisey, John
Rudy, Scott
Zapatka, Mark 
The Role of Information in Offshore Oil Lease Bidding 
1988 WREU 
Brown, Donna
Jew, Lori
Macdonald, Diane 
The Name of the Game 
1988 WREU 
Brown, Donna 
Cooperative Games on Weighted Graphs 
1989 MQP 
Cortese, Susan
Menard, Christopher 
Competitive Bidding Strategies for Offshore Oil Lease Auctions 
1989 MQP 
Deligiannides, Hariton
Nelson, Mark 
Coal Shipping Expert System 
1989 MQP 
Ferreira, Mary Frances 
Multiattribute Utility Function for a Group of Experts 
1989 IQP 
French, Jonathan 
Coal Shipping Expert System 
1989 IQP 
Harrell, Peter 
Social Choice Reversal Paradoxes 
1989 MQP 
Jew, Lori 
Properties of Allocation Methods 
1989 MQP 
Reed, Leslie 
Computational Methods for the Nucleolus 
1989 WREU 
Martell, Christine
Winn, Holly 
Monotonicity of Values for Cooperative Games 
1990 DREU 
Chen, ChengJih 
Characterization of the ShapleyShubik and Banzhaf Power Indices with
Transfer and Fairness Axioms 
1990 DREU 
Chiu, TienYee 
Cooperative Games: Cliques in Graphs 
1990 DREU 
Grande, Kathryn Jane 
Reasonableness, Monotonicity and Rationality 
1990 DREU 
Letscher, David 
The Shapley Value on Partially Defined Games 
1990 DREU 
Maltenfort, Michael 
An Allocation Method from Individual Compaint Functions 
1990 DREU 
Maltenfort, Michael 
Consistency on Partitition Form Games 
1990 DREU 
McCaulley, Patrice 
Axioms and Values on Partition Function Form Games 
1991 DREU 
Arthur, Daniel 
Oligopoly in Partition Function Form 
1991 DREU 
Merki, Stephanie 
Values on Partition Function Form Games 
1991 DREU 
Patashnick, Owen 
Consistency: An Axiomatic Classification of Allocation Methods on TU Characteristic
Function Form Games 
1991 DREU 
Saraniti, Brett 
Intergenerational Games 
1991 DREU 
Ventrudo, Tom
Wallman, Jodi 
Finding a Value on Partially Defined Games 
1992 DREU 
Baldan, John 
Properties of Simple Games 
1992 DREU 
Brennan, Carol
Morrill, Mary Dana 
Spanning Forest Games 
1992 DREU 
Lee, Roger 
A Characterization of the Extreme Monotonic Extensions of a Partially
Defined Game 
1992 DREU 
Lee, Roger 
Some Observations on a Notion of Consistency 
1992 DREU 
Lim, Darren 
ForestSize Games 
1992 DREU 
Pinzon, Luz 
Cooperative Games in Partition Function Form 
1993 Rutgers 
Pinzon, Luz 
Reasonable Allocations for Cooperative Games 
1993 DREU 
Howes, Jennifer 
The Nucleolus and Shapley Value for Cooperative Matching Games on Weighted
Graphs 
1993 DREU 
Rich, Jennifer 
The Shapley Value and Partially Defined Games 
1993 DREU 
Theoharidis, Maria 
The Shapley Value for Partition Function Form Games 
1994 Allegheny 
O'Toole, Kathy 
ABACUS: A Staffing Model Implemented by Chubb & Son Insurance 
1994 HHMI 
Brutt, LeeAnne 
A Value for ZeroMonotonic Partially Defined Games 
1995 Allegheny 
Link, Catherine 

1997 Allegheny 
Johnson, Jennifer 
Maximal Flow Problems and Cooperative Games 
1997 Allegheny 
Timcho, Jennifer 
Auctions 
1999 Maple 
Engelsone, Anna 
Central Extensions of Partially Defined
Games (Maple Appendix) 
2000 Maple 
Hilman, Reynard 
Fair Allocation Method for Steiner Tree Networks 
2000 MA300 
Amstutz, Sarah 
Menelaus Theorem 
2000 MA300 
Schrock, Matthew 
Sprouts: More Than Vegetables 
2001 Goshen 
Engelsone, Anna 
Central Extensions of Partially Defined
Games (Maple Appendix) 
2001 Maple 
Amstutz, Sarah 
Fair Division 
2001 MA300 
Histand, Andrew 
Stable Forms in the Game of Life on a 3 by
n Torus 
2001 MA300 
Soe, Htun 
Perfect Numbers and Perfect Squares 
2002 MA300 
Ramer, Chellie 
The NonPlanarity of the Lattice Diagram of the Natural Numbers Under
the Relation Divides 
2003 Maple 
Histand, Andrew 
The Range Nucleolus for Cooperative Games 
2003 Maple 
Ramer, Rachelle 
Convexity of Partially Defined Cooperative
Games 
2003 MAA 
Abebe, Kaleab 
A Maximally Equitable Solution in Fair Division
with n Players 
2003 MA300 
Bauman, Matthew 
Leftist Numbers 
2003 MA300 
Henn, Rebekah 
The Island of Truthtellers and Liars 
2003 MA300 
Nafziger, Rosanna 
Folding Papers and Planes: A Critical Difference 
2004 Goshen 
Ramer, Rachelle 
Convexity of Partially Defined Cooperative
Games 
2004 MAA 
Huang, Jiayun (Aeron) 
Graphical Approach and Property Tests in Fair
Division Problems with Indivisible Objects and Monetary Compensation 
2004 MAA 
Johnson, Jesse 
EnvyFree and Efficient Allocations 
2004 MAA 
Martinez, Ulises 
Fair Division of Divisible Objects—Analysis
of Allocation Methods with the Budget Constraint 
2004 MAA 
Robbins, Tabitha 
Group Rational/Group Monotonic Allocation
Methods on Four
Player Convex Games 
2005 Goshen 
Huang, Jiayun (Aeron) 
Graphical Approach and Property Tests in Fair
Division Problems with Indivisible Objects and Monetary Compensation 
2005 Goshen 
Histand, Andrew 
The Range Nucleolus for Cooperative Games 
2005 MAA 
Adenegan, Elizabeth 
Fair Division with Budget Constraints 
2005 MAA 
Medrano, Jesus 
Partially Defined Cooperative Game TheoryA New Allocation Method 
2005 MAA 
Mendez, Juan 
Embedded Coalitions Related to the Bell Triangle and Stirling Numbers of the Second Kind 
2005 MAA 
Omer, Nada 
The Minimum Number of Efficient Allocations of Indivisible Objects 
2005 Maple 
Tadjer, Rozalia 
Values for Partition Function Form Games 
2007 Maple 
ShirkByler, Jesse 
Strategic Aspects of Fair Division 
2008 Maple 
Richard, Gina 
Monotonic Power Indices 
2008 Maple 
Yoder, Jason 
The Evolution of Coalition Game Strategies 
2009 Maple 
Unruh, Seth 
EnvyFree Divisions, RoseHulman Undergraduate Math Journal, Vol. 10, Issue 2, 2009 
2010 MAA350 
Helmuth, Erin 
The Notebook: A Mathematical Analysis 
2010 MAA350 
Hodges, Chaim 
Graph Coloring Games 
2010 MAA350 
Kooker, Patricia 
Modeling Shakespeare’s Romeo and Juliet as a Sequential, Strategic Game 
2010 MAA350 
Rody, Sarah 
Othello 
2010 MAA350 
Savage, Jonathan 
Evolutionary Game Theory and Economic Applications 
2010 MAA350 
Shelly, Aaron 
An Analysis of John Q 
2010 MAA350 
Weins, Ruth 
Fair Division of Household Chores (Excel data) 
2011 Maple 
Hodges, Chaim 
EnvyFree Allocations for TwoPlayer SingleGood Allocation Problems with Money and Budget Constraints 
2012 Maple 
Bontrager, Philip 
Fair Allocation Visualizations, TwoPerson Inheritance Mathematica, ThreePerson Inheritance Mathematica 
2013 Maple 
Clemens, Andy 
nMove Memory Evolutionarily Stable Strategies for the Iterated Prisoner's Dilemma 
2013 Maple 
Schrock, Peter 
The Machiavelli Voting Power Index 
2014 MA413 
Ahlgrim, Garrett 
The Princess and the Roses 
2014 MA413 
Bontrager, Philip 
Traveling Purchaser Problem: A Greedy Approach 
2014 MA413 
Fretz, Emily 
Adding Death to the Fibonacci Sequence 
2014 MA413 
Shetler, Jacob 
A Specialized Case of the Euclidean 3Dimensional Steiner
Tree Problem 
2014 Maple 
Ahlgrim, Garrett 
Expandable Stable Coexistence of Strategies 
2014 Maple 
Pepala, Joel 
U.S. Supreme Court Voting Power 