Strategic experimentation with asymmetric players

B-Tier
Journal: Economic Theory
Year: 2020
Volume: 69
Issue: 4
Pages: 1147-1175

Authors (3)

Kaustav Das (not in RePEc) Nicolas Klein (Université de Montréal) Katharina Schmid (not in RePEc)

Score contribution per author:

0.670 = (α=2.01 / 3 authors) × 1.0x B-tier

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

Abstract

Abstract We examine a two-player game with two-armed exponential bandits à la (Keller et al. in Econometrica 73:39–68, 2005), where players operate different technologies for exploring the risky option. We characterise the set of Markov perfect equilibria and show that there always exists an equilibrium in which the player with the inferior technology uses a cut-off strategy. All Markov perfect equilibria imply the same amount of experimentation but differ with respect to the expected speed of the resolution of uncertainty. If and only if the degree of asymmetry between the players is high enough, there exists a Markov perfect equilibrium in which both players use cut-off strategies. Whenever this equilibrium exists, it welfare dominates all other equilibria. This contrasts with the case of symmetric players, where there never exists a Markov perfect equilibrium in cut-off strategies.

Technical Details

RePEc Handle
repec:spr:joecth:v:69:y:2020:i:4:d:10.1007_s00199-019-01193-9
Journal Field
Theory
Author Count
3
Added to Database
2026-01-25