A note on payments in the lab for infinite horizon dynamic games with discounting

Arun Gautham Chandrasekhar () and Juan Pablo Xandri ()
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Arun Gautham Chandrasekhar: Stanford University
Juan Pablo Xandri: Universidad de los Andes, Chile

Economic Theory, 2023, vol. 75, issue 2, No 4, 389-426

Abstract: Abstract It is common for researchers studying infinite horizon dynamic games in a lab experiment to pay participants in a variety of ways, including but not limited to outcomes in all rounds or for a randomly chosen round. We argue that these payment schemes typically induce different preferences over outcomes than those of the target game, which in turn would typically implement different outcomes for a large class of solution concepts (e.g., subgame perfect equilibria, Markov equilibria, renegotiation-proof equilibria, rationalizability, and non-equilibrium behavior). For instance, paying subjects for all rounds generates strong incentives to behave differently in early periods as these returns are locked in. Relatedly, a compensation scheme that pays subjects for a randomly chosen round induces a time-dependent discounting function. Future periods are discounted more heavily than the discount rate in a way that can change the theoretical predictions both quantitatively and qualitatively. We rigorously characterize the mechanics of the problems induced by these payment methods, developing measures to describe the extent and shape of the distortions. Finally, we prove a uniqueness result: paying participants for the last (randomly occurring) round, is the unique scheme that robustly implements the predicted outcomes for any infinite horizon dynamic game with time separable utility, exponential discounting, and a payoff-invariant solution concept.

Keywords: Payment in experiments; Experimental economics; Dynamic game experiments (search for similar items in EconPapers)
JEL-codes: C90 C91 C92 (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s00199-021-01409-x

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