Scheduling Tournaments: A Stable Matching Problem
One of the most complicated problems in the world of sports outside of the game is trying to schedule tournaments or a season so that all teams are happy with their schedule and that they are fully balanced schedules difficulty wise. The research paper below goes into detail on the idea of a round robin […]
Four Roommates: A Story of Triadic Closures
Last year, I moved into an apartment in Collegetown with my three closest friends. The year started off great and I was only excited for the rest of the year to come. When we first moved in together the graph of our relationships with each other looked like this. Every roommate had a positive relationship […]
Strong and Weak Ties in Education
Participation in the American education system produces a complex network of relationships among students, teachers, and administrators. In the short- and long-term, these relationships impact students’ educational trajectories, and thus the efficacy of the educational process. To better understand these implications, one can assess the influence of strong and weak tie relationships in American high […]
Do Social Ties Affect Our Health?
https://newsinhealth.nih.gov/2017/02/do-social-ties-affect-our-health#:~:text=Wide%2Dranging%20research%20suggests%20that,stress%20and%20heart%2Drelated%20risks. The article “Do Social Ties Affect Our Health? Exploring the Biology of Relationships” posted by the NIH explores the relationship between social ties and health. This article discusses different types of social ties, suggesting that having a variety of social relationships may help reduce stress, heart-related risks, and improve healing. I found this […]
Outsmarting the Prisoner’s Dilemma with Punishments: Preventing the Tragedy of the Commons
https://academics.hamilton.edu/economics/cgeorges/game-theory-files/repeated.pdf https://online.hbs.edu/blog/post/tragedy-of-the-commons-impact-on-sustainability-issues The Tragedy of the Commons is a term that describes the overexploitation of public resources, usually environmental resources, caused by human self-interest. For instance, a group of people who allow their animals to graze on a piece of land without investing in protective measures to maintain the health of the land […]
Developing a Fast Wordle Strategy Using Graph Theory
I’m not good at Wordle. Thinking of words that meet the requirements of previous guesses is difficult. Thus, instead of trying to solve the challenge in as few guesses, my strategy is to guess the word as fast as possible using as little effort as possible. Here’s how it works: I guess 5 predefined words […]
Game Theory and Auctions exhibited in the EU ETS Carbon Trading
Carbon Trading, also known as carbon pricing, is a market-based system that involves the selling and buying of permits and credits that allow for the emission of greenhouse gases. The system involves the “cap and trade” pricing method, where buyers (businesses, countries, etc.) have a quota on how many greenhouse gases they […]
Secret to Decreasing Traffic is Removing Roads?
Braess’s theory is a game theory paradox credited to Dietrich Braess which states that “adding extra capacity to a network, can in some cases reduce overall performance. The best way to illustrate this paradox at work is through an example involving roads and travel time. In terms of this specific scenario Braess’s Theory would state […]
The Risky Payoff Matrix of Democratic Primary Strategies
The 2022 midterm elections are coming up, and are looking to be hotly contested by both sides. Democrats, although they are performing much better in the polls than they were during the summer, with problems such as Joe Biden’s popularity and massive inflation rates generally subsiding. However, the Democrats are still attempting to hold onto […]
Environmental and Social Governance (ESG) Initiative Adoption as a Payoff Matrix Using the ESG Data Convergence Initiative (EDCI) as a Case Study
Environmental and Social Governance (ESG) initiatives have become more important in assessing a company’s performance in recent years. ESG represents risks that will impact the company’s ability to create long-term value not only for their company but also their shareholders. In fact, according to the Edelman Trust Barometer Special Report, 88% of investors believe companies […]
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