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Nash equilibrium in duopoly with products defined by two characteristics Nash equilibrium in duopoly with products defined by two characteristics   This is an essay written by Nicholas Economides from Columbia University in 1986. It basically discusses whether Nash equilibrium exists or not in duopoly when products have two characteristics and what could be the influence factor. Knowing that when two companies have only […]

International Relations in the Middle East If you’re curious about the various conflicts in the Middle East or, more generally, international relations in the region, but can’t quite wrap your head around the numerous countries and organizations involved, this graph might prove useful in helping you understand how the various players in the region are connected to each other. Though […]

Relations in War Traditionally, war has mainly been waged by two factions. There has occasionally been wars that involved more than two allied factions. The Three Kingdoms period in China is one example that was brought up in an online discussion on Stack Exchange, an online discussion board. The Three Kingdoms referred to the Shu, Wu, and […]

Molecular Graphs in Chemoinformatics

Chemoinformatics is a research field aimed at using computational methods derived from information theory to predict and analyze properties of molecules. Quite often, it is true that a molecule’s properties highly depend on its structure. Thus, a key principle known as the similarity principle is that two molecules that have very similar structure ought to have […]

Mutually Assured Destruction (MAD)

Mutually assured destruction is a funny idea.  If two sides are armed, they will be both be inclined to not use those arms.  This political strategy is widely accepted by many countries.  Regardless of the fact that there has not been another world war since WWII and many countries do not face an immediate threat […]

Parental Networks Effect on Children’s Education

A recent article (March 10, 2014) by the Berlin Social Science Center ( Wissenschaftszentrum Berlin fuer Sozialforschung) suggests that a parent’s social networks affect their child’s education and potential for upward social mobility. Based on the demographics of the area, the presence of social closure correlates to a positive or negative impact such that if […]

Game Theory in Poker

I find Game Theory to be one of the more interesting topics in Networks. The basics of it are somewhat simple, with the idea being that each player plays to their dominant strategy. Of course there are equilibriums involved, such as Nash equilibriums. But looking at various articles, game theory has been involved in so […]

Prisoner’s Dilemma Played More Than Once

As we saw in class, the only Nash Equilibrium in a Prisoner’s Dilemma is for both players to defect. Their total payoff is not maximized and they both go to jail. It’s unfortunate that a Nash Equilibrium doesn’t neccesarily maximize payoff for either player or the sum of their payoffs. Wouldn’t it be nice if […]

Does Game Theory Work in Poker?

Poker is one of the most well-known games in the world, played competitively with prize money that ranges in the millions. Naturally, many people are devising strategies that try to win poker games with a degree of certainty. And it is not surprisingly that people have tried to incorporate game theory into poker. The basic […]

Russian Sanctions and Game Theory

Ever since the fighting started in Ukraine, there have been increased tensions between Russia and the USA and EU. Due to Russia’s seeming support of the rebels in Ukraine, the USA and EU have been putting sanctions onto Russia. Russia in return has also out some sanctions on the West, though they don’t always give […]

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