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Full-Text Articles in Mathematics
Essays In Mechanism Design., Suresh Mutuswami Dr.
Essays In Mechanism Design., Suresh Mutuswami Dr.
Doctoral Theses
The theory of implementation or mechanism design had its origins in the debates in the 1930s between Hayek, Lange and Lerner on the informational efficiency of the market economy. However, it was the work of Hurwicz in the 1950s and the 1960s which formalised the insights of Hayek, Lange and Lerner and paved the way for the body of work that followed his pioneering effort.In addition to the considerable theoretical literature on mechanism de- sign'. there also exists a body of literature which uses the mechanism design approach to address specific problems. Some examples of work in this vein include …
Unevening The Odds Of "Even Up", Arthur T. Benjamin, Jennifer J. Quinn
Unevening The Odds Of "Even Up", Arthur T. Benjamin, Jennifer J. Quinn
All HMC Faculty Publications and Research
No abstract provided in this article.
The Best Way To Knock 'M Down, Arthur T. Benjamin, Matthew T. Fluet '99
The Best Way To Knock 'M Down, Arthur T. Benjamin, Matthew T. Fluet '99
All HMC Faculty Publications and Research
"Knock 'm Down" is a game of dice that is so easy to learn that it is being played in classrooms around the world. Although this game has been effective at developing students' intuition about probability [Fendel et al. 1997; Hunt 1998], we will show that lurking underneath this deceptively simple game are many surprising and highly unintuitive results.
Bounds On A Bug, Arthur T. Benjamin, Matthew T. Fluet '99
Bounds On A Bug, Arthur T. Benjamin, Matthew T. Fluet '99
All HMC Faculty Publications and Research
In the game of Cootie, players race to construct a "cootie bug" by rolling a die to collect component parts. Each cootie bug is composed of a body, a head, two eyes, one nose, two antennae, and six legs. Players must first acquire the body of the bug by rolling a 1. Next, they must roll a 2 to add the head to the body. Once the body and head are both in place, the remaining body parts can be obtained in any order by rolling two 3s for the eyes, one 4 for the nose, two 5s for the …