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Report for the academic year - Libraries - Institute for Advanced Study

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<strong>Institute</strong> <strong>for</strong> advanced study<br />

Nowak is working n a ma<strong>the</strong>matical <strong>the</strong>ory <strong>for</strong> <strong>the</strong> evolution and population dynamics<br />

nt human language. With Joshua Plotkin and Vincent Jansen (University of London), he<br />

studied <strong>the</strong> conditions <strong>for</strong> <strong>the</strong> evolution of syntactic communication. With Natalia<br />

Komarova and Partha Niyogi (University of Chicago), he <strong>for</strong>mulated a <strong>the</strong>ory <strong>for</strong> <strong>the</strong> evolution<br />

"t universal grammar. This work specifies <strong>the</strong> constraints that universal grammar<br />

has to impose <strong>for</strong> a population to evolve and maintain a coherent grammatical system.<br />

Nowak currently works on a similar framework tor <strong>the</strong> acquisition of <strong>the</strong> lexical matrix.<br />

Peter Trapa and Martin Nowak per<strong>for</strong>med a Nash-equilibrium analysis of lexical matrices.<br />

Nowak is interested in <strong>the</strong> evolutionary dynamics of <strong>the</strong> Ultimatum Game. In recent<br />

<strong>year</strong>s, <strong>the</strong>re has been tremendous interest among economists and psychologists in a very<br />

puzzling, experimental observation: when humans are asked to split a certain amount of<br />

money, according to <strong>the</strong> rules of <strong>the</strong> Ultimatum Game, <strong>the</strong>y discard <strong>the</strong> rational solution<br />

in favor of fairness. Nowak, toge<strong>the</strong>r with Karen Page and Karl Sigmund (Vienna),<br />

developed an evolutionary approach to <strong>the</strong> Ultimatum Game. A key observation was<br />

that fairness out-competes reason if <strong>the</strong>re is some possibility that individuals can obtain<br />

in<strong>for</strong>mation on outcomes of previous interactions.<br />

Walter Fontana's research explores how self-sustaining chemical systems emerge and how<br />

to develop a <strong>for</strong>mal method to classify <strong>the</strong>ir possible changes. His work goes beyond Dar-<br />

winian selection, which may explain which of two alternative molecular systems will<br />

come to dominate an environment under certain conditions but cannot explain how<br />

<strong>the</strong>se alternatives originated in <strong>the</strong> first place nor offer a complete spectrum of what else<br />

could have been possible. While at <strong>the</strong> <strong>Institute</strong>, Fontana focused on three areas: geno-<br />

typ phenotype relations and evolutionary dynamics, evolutionary RNA games and mol-<br />

ecular signal transduction.<br />

David Krakauer works on <strong>the</strong> evolution of prion proteins and related autocatalytie poly-<br />

mers, selection acting on signal transduction networks, stability properties of parasite<br />

genomes, and <strong>the</strong> evolution of sign systems. Each of <strong>the</strong>se problems is characterized by<br />

<strong>the</strong> need to encode heritable in<strong>for</strong>mation at distinct levels of biological organization,<br />

where selection pressures are often independent or in conflict. He has made progress in<br />

modeling <strong>the</strong> dynamics of infection of <strong>the</strong> nervous system, demonstrating <strong>the</strong> influence<br />

of neural topology on disease propagation, and has investigated viral genome stability in<br />

<strong>the</strong> presence ol defective interfering particles, and cellular computation in <strong>the</strong> GNRH-<br />

receptor signal transduction pathways. He was given a visiting assistant professorship at<br />

<strong>the</strong> Department oi Ecology and Evolutionary Biology at Princeton University, and made<br />

a consultant to <strong>the</strong> Program on Robustness at <strong>the</strong> Santa Fe <strong>Institute</strong>, lie continues to<br />

work with his experimental collaborators, Professor Lynn Enquist and Dr. Stuart Sealfon.<br />

Alun Lloyd joined <strong>the</strong> biology program in fall 1999. Be<strong>for</strong>e arriving at <strong>the</strong> <strong>Institute</strong>, he was<br />

Medical Research Council Postdoctoral Research bellow, working in <strong>the</strong> Ma<strong>the</strong>matical<br />

Bi( x\ research group in <strong>the</strong> Department of Zoology of <strong>the</strong> I Iniversity of Ox<strong>for</strong>d and a lec-<br />

turer at St. 1 1 1 Ida's I follege, where he taught statistics. One of Lloyd's current projects is an<br />

investigation of stochasticit) and heterogeneities in transmission on <strong>the</strong> dynamics of childhi<br />

M id diseases In parlk iil.tr. he is working on using recently developed ma<strong>the</strong>matical mod-<br />

els to develop and in<strong>for</strong>m control strategies lor such diseases as measles. He also works on<br />

<strong>the</strong> within host dynamics ol \ iral diseases, sm h as HIV.<br />

100

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