Tid: 4 februari 2013 kl 15.15-16.00.

Föredragshållare: Peter Helgesson, Matematiska vetenskaper, Chalmers Tekniska Högskola och Göteborgs Universitet

Titel: The War of Attrition in the Limit of Infinitely Many Players

Abstract The War of Attrition is a classical game theoretic model that was first introduced to mathematically describe certain non-violent animal behavior. The original setup considers two participating players in a one-shot game competing for a given prize by waiting. This model has later been extended to several different models allowing more than two players. One of the first of these N-player generalizations was due to J. Haigh and C. Cannings, where two possible models are mainly discussed; one in which the game starts afresh with new strategies each time a player leaves the game, and one where the players have to stick with the strategy they chose initially. The first case is well understood whereas, for the second case, much is still left open. In this talk we consider the asymptotic behavior of these two models as the number of players tend to infinity and show that they, in a certain sense, coincide in the limit. This result can then be used to find new results for the N-player second model.

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