On the beliefs off the path: Equilibrium refinement due to quantal response and level-k

Zizzo, Daniel (2018). On the beliefs off the path: Equilibrium refinement due to quantal response and level-k. [Data Collection]. Colchester, Essex: UK Data Archive. 10.5255/UKDA-SN-852872

This network project brings together economists, psychologists, computer and complexity scientists from three leading centres for behavioural social science at Nottingham, Warwick and UEA. This group will lead a research programme with two broad objectives: to develop and test cross-disciplinary models of human behaviour and behaviour change; to draw out their implications for the formulation and evaluation of public policy.
Foundational research will focus on three inter-related themes: understanding individual behaviour and behaviour change; understanding social and interactive behaviour; rethinking the foundations of policy analysis.
The project will explore implications of the basic science for policy via a series of applied projects connecting naturally with the three themes. These will include: the determinants of consumer credit behaviour; the formation of social values; strategies for evaluation of policies affecting health and safety.
The research will integrate theoretical perspectives from multiple disciplines and utilise a wide range of complementary methodologies including:theoretical modeling of individuals, groups and complex systems; conceptual analysis; lab and field experiments; analysis of large data sets.
The Network will promote high quality cross-disciplinary research and serve as a policy forum for understanding behaviour and behaviour change.

Data description (abstract)

The extensive form game we study has multiple perfect equilibria, but it has a unique limiting logit equilibrium (QRE) and a unique level-k prediction as k approaches infinity. The convergence paths of QRE and level-k are different, but they converge to the same limit point. We analyze whether subjects adapt beliefs when gaining experience, and if so whether they take the QRE or the level-k learning path. We estimate transitions between level-k and QRE belief rules using Markov-switching rule learning models. The analysis reveals that subjects take the level-k learning path and that they advance gradually, switching from level 1 to 2, from level 2 to equilibrium, and reverting to level 1 after observing opponents deviating from equilibrium. The steady state therefore contains a mixture of behavioral rules: levels 0, 1, 2, and equilibrium with weights of 2.9%, 16.6%, 37.9%, and 42.6%, respectively.

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