Paper titles
with links are available for download; other papers can be obtained by contacting
me. These papers are the product of an eight week summer program, academic year
thesis, or a 1-3 credit course term paper. Although there are lots of great ideas here,
do not expect polished work.
| 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 Off-shore 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, Cheng-Jih |
Characterization of the Shapley-Shubik and Banzhaf Power Indices with
Transfer and Fairness Axioms |
| 1990 DREU |
Chiu, Tien-Yee |
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 |
Forest-Size 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 Zero-Monotonic 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 Non-Planarity 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 |
Envy-Free 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 Theory--A 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 |
Shirk-Byler, 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 |
Envy-Free Divisions, Rose-Hulman 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 |
Envy-Free Allocations for Two-Player Single-Good Allocation Problems with Money and Budget Constraints |
| 2012 Maple |
Bontrager, Philip |
Fair Allocation Visualizations, Two-Person Inheritance Mathematica, Three-Person Inheritance Mathematica |
| 2013 Maple |
Clemens, Andy |
n-Move 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 3-Dimensional Steiner
Tree Problem |
| 2014 Maple |
Ahlgrim, Garrett |
Expandable Stable Coexistence of Strategies |
| 2014 Maple |
Pepala, Joel |
U.S. Supreme Court Voting Power |
| 2015 Maple |
Bitikofer, Kenan |
A Categorization of the Evolution of Spatial Cellular
Automata in Symmetric Binary Decision Games |
| 2016 MA413 |
Schrock, Peter |
The Flaw in the Machiavelli Index |
| 2016 Maple |
Chen, Matthew |
Nucleolus and Group Monotonicity |
| 2016 Maple |
Kaasa, Jon |
Allocation of Seats and Voting Power in the Norwegian Parliament |
| 2017 Maple |
Bechler, Christian
Bitikofer, Kenan |
A Counterexample to the Core Protocol of Aziz and Mackenzie |
| 2018 MA413 |
Miller, Lydia |
Finding and Characterizing Knights Tours on the 4 x 4 x 4 Chessboard |
| 2018 Maple |
Schrock, Nick |
Measuring Voting Power Using Observed Data |
| 2019 MA413 |
Miller, Rae Ann |
Modified Collatz Conjecture |
| 2019 Maple |
Abdelaziz, Ebtihal |
The Nucleolus for Partially De ned Cooperative Games |
| 2020 Maple |
Abdelaziz, Ebtihal |
A Coalition Game on Finite Groups |
| 2020 Maple |
Baer, Katie |
Quota Violations in the Apportionment Method of Webster |
Type |
Description |
| Allegheny |
Allegheny College senior thesis. |
| DREU |
National Science Foundation Research Experiences for Undergraduates summer
program held at Drew University. |
| Goshen |
Goshen College honors thesis. |
| IQP |
Worcester Polytechnic Institute Interactive Qualifying Project. |
| MAA |
Goshen College Maple Scholars summer program. Support was obtained through
the Mathematical Association of America's Strengthening Underrepresented
Minority Mathematics Achievement Program, funded by the National Security
Agency and the National Science Foundation. |
| MA300 |
Term paper for Math 300 Conjecture and Proof, the transition to advanced
mathematics course at Goshen College until 2003. |
| MA350 |
Term paper for Math 350 Game Theory course at Goshen College. |
| MA413 |
Paper for Math 413 Discoveries Seminar 1-credit course at Goshen College. |
| Maple |
Goshen College Maple Scholars summer program. |
| MQP |
Worcester Polytechnic Institute Major Qualifying Project. |
| Rutgers |
Rutgers University senior thesis. |
| WREU |
National Science Foundation Research Experiences for Undergraduates summer
program held at Worcester Polytechnic Institute. |