No Title
Common Goals: Cooperative Strategies
FYPR 014-02
MWF 11-11:50, 333 Swords Hall
Prof. David Damiano, 341 Swords Hall, 793-2476
e-mail: dbd@math.holycross.edu or damiano@holycross.edu
Office Hours: MWF 10-11 AM and T 1-2 PM and by appt.
January 19, 2000
When self encounters other, how then shall we live?

In a multi-candidate election, should you vote for you preferred candidate or is it better to vote against an undesirable candidate? In reallocating seats in the House of Representatives after the 2000 census, how can we insure that all citizens have equal representation? In deciding the fate of a National Forest, how can environmentalists, hikers, hunters, loggers, and miners form coalitions to obtain common goals? We will begin this semester by further developing the mathematics introduced in the first semester to create a mathematical model which will allow us to analyze encounters in which there are more than two positions on every issue. In contrast to our work in the first semester, this will require us to think about the give and take that is necessary to move beyond conflict between self and other to cooperation . Is it necessary for all parties to agree, or even for a majority to agree in order to achieve a particular outcome? Can we use the model to decide which groups have the power to determine the outcome? Under what conditions will the ``rational solutions'' suggested by our mathematical model be effective strategies for achieving resolution of the more complex realities which we are modeling? In what ways do they suggest a response to the question, ``How then shall we live?''

Course Structure

This semester we'll proceed much as we did last semester, considering the common readings, game theory and applications of game theory. In class, we will continue to combine lecture and discussion, but there will be a new feature this semester. Working in teams of two or three, you will get to lead one of the class discussions either on a common reading or in the portion of the course dedicated to ``Social Choice in Context''. The student-led discussions will begin after the March break.

The entire program will be traveling to Washington, D.C., leaving Friday, April 7 and returning Sunday, April 9. The primary purpose of the trip is to attend the Holocaust Memorial Museum. The cost of the trip will be shared between the program and you, the participants. Shortly after the beginning of the semester, we'll discuss the details. When the time comes, please let me know if it will impose a financial hardship on you.

FYP Journals

We will continue with journals following the same format as last semester. As a reminder, the following is repeated from the fall syllabus:

As part of the course requirements, you will have to keep an academic journal. This is not a personal diary or log of classroom activities, but rather a place for you to reflect on discussions and activities related to the program or current events on and off campus in light of the program. You might use it to continue a discussion we began in class, to react to a lecture or film you saw, in connection with the program or in another context, or to make connections between the class material and material from other classes. You should think of this as a public document, which I will be reading and which you should be willing to show to members of the class. I will often suggest topics for journal entries. In addition, you will be required to write entries on a number of the common events, which will be determined as the semester progresses. As a general rule, you must make at least two journal entries each week. I will collect the journals once a week, usually on Fridays, and will make written comments and pose questions for further thought. I will be reading your journals for content and not style. Nonetheless, you should take care with your writing as others will be reading it on occasion. An overall evaluation of your journal will be part of your final grade, but I will not grade individual entries.

Assignments and Grading

The assignments this semester will consist of the FYP journals (described above), an 8-10 page research paper due Wednesday, April 19, a 5 page reflection paper due Wednesday, May 3, individual and collaborative game theory assignments, and the leading of a class discussion.

Note that the Class Participation component includes attendance at co-curricular events. There will be an average of one event per week. It is strongly recommended that you attend as many of the events as possible. Attendance is mandatory at the events that are central to the program or to this class. The co-curricular events will be discussed in class. A list of events that have been scheduled is given at the end of the syllabus.

Grading Scheme:

Class Participation and Journal 15 %
Leading Class Discussion 5 %
Individual and Group 20 %
Game Theory Assignments  
Take Home Midterm Exam 20 %
March 17-21  
Research Paper 25 %
Reflection Paper 15 %
Total 100 %
   

Texts:
The following texts are required texts for the first semester. These are available in the College Bookstore in the Hogan Campus Center. Additional material will placed on reserve in the Science Library on the first floor of Swords Hall.

Common Readings: Texts for Common Goals: Cooperative Strategies:

Schedule of Readings

The common texts should be read by the first day they are discussed in class. Particular readings in Straffin will be assigned weekly.

Schedule of Events and Activities as of January 19:




2000-01-26