The Market's Conditioning Representation: Equilibrium, Crowding, and Convention Multiplicity

📅 2026-08-18
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本文通过让投资组合选择影响价格的表示方法,构建了一个市场条件架构,并研究了由此产生的均衡、拥挤和多重惯例问题。
📝 Abstract
Asset-pricing models typically condition on a fixed information set. This paper endogenises the market's conditioning architecture by allowing portfolios to choose representations whose induced exposures affect prices. Capital allocated across representations determines aggregate positions and the clearing premium, while price feedback changes representation value and, through causal certification, admissible representations. A representation equilibrium is the fixed point of this configuration--price--certification loop. The framework separates position crowding through market impact from representation crowding generated by driver-space overlap and priced through a basis-invariant information-capacity cost. Under compactness, resolvent regularity and continuous certification, equilibrium exists at every switching cost; within a stable certification cell, informational congestion yields a concave population game and local uniqueness under a small-gain condition. At a settled configuration, a spectral statistic combining cross-impact, covariance and deployed capacity determines three position-path regimes: below one half the fundamental solution is unique; at the boundary only innovation-free deviations remain; above it, destabilising directions support a continuum of self-confirming conventions. Monotone impact lies inside the uniqueness region, while indefinite impact alone is not sufficient for multiplicity. Intermediary hedging can generate an indefinite response while round trips remain costly. Endogenous risk capacity bounds convention amplitudes, and least-squares learning makes the dominant convention neutral rather than attracting. The threshold is not estimated in data; instead, the empirical exercise documents an out-of-sample, driver-specific signature consistent with representation crowding and states the conditions required for direct measurement.
Problem

Research questions and friction points this paper is trying to address.

asset pricing
representation equilibrium
market impact
information capacity cost
convention multiplicity
Innovation

Methods, ideas, or system contributions that make the work stand out.

endogenised conditioning architecture
representation equilibrium
information-capacity cost
position crowding
representation crowding
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Alejandro Rodríguez Domínguez
Quantitative Analysis and Artificial Intelligence Department, Miralta Finance Bank, S.A., Madrid, Spain; Department of Computer Science, University of Reading, Reading, United Kingdom; Albert School, Paris, France