Strongly Symmetric Equilibria in Bandit Games
Johannes Hörner,
Nicolas Klein and
Sven Rady
No 1956, Cowles Foundation Discussion Papers from Cowles Foundation for Research in Economics, Yale University
Abstract:
This paper studies strongly symmetric equilibria (SSE) in continuous-time games of strategic experimentation with Poisson bandits. SSE payoffs can be studied via two functional equations similar to the HJB equation used for Markov equilibria. This is valuable for three reasons. First, these equations retain the tractability of Markov equilibrium, while allowing for punishments and rewards: the best and worst equilibrium payoff are explicitly solved for. Second, they capture behavior of the discrete-time game: as the period length goes to zero in the discretized game, the SSE payoff set converges to their solution. Third, they encompass a large payoff set: there is no perfect Bayesian equilibrium in the discrete-time game with frequent interactions with higher asymptotic efficiency.
Keywords: Two-armed bandit; Bayesian learning; Strategic experimentation; Strongly symmetric equilibrium (search for similar items in EconPapers)
JEL-codes: C73 D83 (search for similar items in EconPapers)
Pages: 51 pages
Date: 2014-08
New Economics Papers: this item is included in nep-gth, nep-hpe and nep-mic
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Citations: View citations in EconPapers (5)
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Working Paper: Strongly Symmetric Equilibria in Bandit Games (2014) 
Working Paper: Strongly Symmetric Equilibria in Bandit Games (2013) 
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