Evolutionary dynamics on infinite strategy spaces

B-Tier
Journal: Economic Theory
Year: 2001
Volume: 17
Issue: 1
Pages: 141-162

Score contribution per author:

1.005 = (α=2.01 / 2 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

The study of evolutionary dynamics was so far mainly restricted to finite strategy spaces. In this paper we show that this unsatisfying restriction is unnecessary. We specify a simple condition under which the continuous time replicator dynamics are well defined for the case of infinite strategy spaces. Furthermore, we provide new conditions for the stability of rest points and show that even strict equilibria may be unstable. Finally, we apply this general theory to a number of applications like the Nash demand game, the War of Attrition, linear-quadratic games, the harvest preemption game, and games with mixed strategies.

Technical Details

RePEc Handle
repec:spr:joecth:v:17:y:2001:i:1:p:141-162
Journal Field
Theory
Author Count
2
Added to Database
2026-01-26