CHSE: Stata module implementing Contested Hierarchy with Social Embedding
Nitya Hapani ()
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Nitya Hapani: NA
Statistical Software Components from Boston College Department of Economics
Abstract:
We develop a theory of hierarchical authority in which leadership is contested, not structural. Hierarchy beliefs (the probability that player i leads player j) evolve through four coupled mechanisms: Bayesian anticipation, role ambiguity, retroactive reframing, and network propagation via an endogenous kernel. The solution concept is the Hierarchy Orbit Equilibrium (HOE), an invariant measure of the induced Markov process, nesting Nash and Stackelberg as degenerate special cases. We show that a 15-parameter system compresses into two indices: the Hierarchy Stability Index and Propagation Intensity, whose ratio partitions parameter space into four dynamic regimes. We prove existence, ergodicity, and Lyapunov stability, and characterise three welfare distortions endemic to interior equilibria. A central result is the Hierarchy Persistence Paradox: stronger hierarchies produce larger cascades when they fall, because accumulated anticipation accuracy inflates the spectral radius of the propagation kernel. Applied to central bank independence, the framework correctly classifies six country-period episodes from robust monetary dominance to fiscal dominance.
Language: Stata
Requires: Stata version 14
Keywords: contested hierarchy; social embedding (search for similar items in EconPapers)
Date: 2026-04-18
Note: This module should be installed from within Stata by typing "ssc install chse". The module is made available under terms of the MIT license (https://opensource.org/licenses/MIT).
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http://fmwww.bc.edu/repec/bocode/c/chse_fdi.ado program code (text/plain)
http://fmwww.bc.edu/repec/bocode/c/chse_fliptime.ado program code (text/plain)
http://fmwww.bc.edu/repec/bocode/c/chse_hoe.ado program code (text/plain)
http://fmwww.bc.edu/repec/bocode/c/chse_paradox.ado program code (text/plain)
http://fmwww.bc.edu/repec/bocode/c/chse_regime.ado program code (text/plain)
http://fmwww.bc.edu/repec/bocode/c/chse_welfare.ado program code (text/plain)
http://fmwww.bc.edu/repec/bocode/c/chse_fdi.sthlp help file (text/plain)
http://fmwww.bc.edu/repec/bocode/c/chse_fliptime.sthlp help file (text/plain)
http://fmwww.bc.edu/repec/bocode/c/chse_hoe.sthlp help file (text/plain)
http://fmwww.bc.edu/repec/bocode/c/chse_paradox.sthlp help file (text/plain)
http://fmwww.bc.edu/repec/bocode/c/chse_regime.sthlp help file (text/plain)
http://fmwww.bc.edu/repec/bocode/c/chse_welfare.sthlp help file (text/plain)
http://fmwww.bc.edu/repec/bocode/c/chse_example.do sample do-file (text/plain)
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