Archive for the 'Mathematics' Category

TAC Competition - Theoretical analysis to practice

The Trading Agent Competition is a multiple auction-type game competition held every year. A trading agent is a computer program that tries to satisfy the preferences of its client(s) by attempting to assemble a variety of travel packets through different types of auctions and competitions. The agent who fulfills his client’s preferences best wins.
This creates […]

Posted in Topics: Education, Mathematics, Technology

No Comments

The Economics of Information Security

A recent paper by Ross Anderson and Tyler Moore, “The Economics of Information Security: A Survey and Open Questions,” brings together the seemingly disparate fields of security and economics to discuss the reasoning behind security decisions. They provide examples such as why individual PC owners choose to install anti-virus software and why large banks choose […]

Posted in Topics: Mathematics, Science, Technology, social studies

No Comments

Neural Networks

http://www.codeproject.com/csharp/Neural_Network_OCR.asp
(Note: Knowledge of C# / Java / C++ is recommended.) 
The beauty of neural networks is that they’re inherently generalized with respect to inputs and outputs.  Simply put, there is no type of neural network dedicated to one particular task.  While there are many implementations and algorithms that can be used to create a neural network, they can […]

Posted in Topics: Mathematics, Science, Technology

No Comments

Repeated Games

I thought that I would supplement the game theory portion of this class with some ideas that I learned in Econ 367. In this class, we have had a brief introduction to game theory. We have covered Nash equilibria in pure and mixed strategies in various games, such as the Prisoner’s Dilemma, Battle […]

Posted in Topics: Mathematics, social studies

No Comments

Visualizing Data as Graphs; aka More graphs than you can shake a stick at

Some of the links in this post are very cool graphs. Definitely worth checking out!
Summary: Given a graph, finding an important node can sometimes be very intuitive. For example, finding a ‘bridge’ between two separate social groups might be very obvious if the graph is drawn properly. However, converting a set of […]

Posted in Topics: General, Mathematics, Technology

No Comments

Game Theory in Wireless Networks

Game theory has been applied to many abstract networks in the course, from trading networks to social networks. One example that merits further investigation is a wireless ad hoc network.
Wireless ad hoc networks can easily be understood with the concepts presented in this class. Computers are nodes in the network and wireless radio links are […]

Posted in Topics: Mathematics, Science, Technology

No Comments

Optimal bluffing strategies in simplified games of poker

http://www.math.wisc.edu/~swanson/instructional/game_theory.pdf
 In this paper, the author discusses the optimal bluffing strategies for players in a simplified version of poker.  We say that player A bluffs if he bets in a hand where he is certain to have the worst hand, i.e the only way he can win the hand is by forcing the other player to […]

Posted in Topics: Mathematics

View Comments (3) »

‘Intelligent’ local traffic routing to avoid Braess’

Internet traffic is as succeptible to Braess’ paradox as is vehicle traffic. Kagan Tumer and David H. Wolpert at NASA Ames Research Center present an improvement to greedy internet traffic routing algorithms in their paper “Avoiding Braess’ Paradox through Collective Intelligence”.
We have talked about how imposing rules from outside the system can help improve […]

Posted in Topics: Mathematics, Science, Technology

No Comments

Euler and the Bridges

http://mathforum.org/isaac/problems/bridges1.html
I wanted my first blog posting to get back to the roots of graph theory because the mathematics behind graphs and the number theory behind the mathematics is what fascinates me the most.  “The Seven Bridges of Konigsberg” and Euler numbers are one of the base principles when studying the math and number theory behind […]

Posted in Topics: General, Mathematics

No Comments

Networks that Cluster

Note: This was also posted on my own blog: http://aysz88.livejournal.com/27137.html . It may look better there.
In the February 16, 2007 issue of Science, Brendan J. Frey and Delbert Dueck apply “message-passing” networks to a problem that doesn’t seem particularly natural in that context: how does one cluster large numbers of objects, and then find […]

Posted in Topics: Education, Mathematics, Science, Technology

View Comment (1) »