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Erschienen in: Review of Accounting Studies 1/2016

01.03.2016

Implications of biased reporting: conservative and liberal accounting policies in oligopolies

verfasst von: Henry L. Friedman, John S. Hughes, Richard Saouma

Erschienen in: Review of Accounting Studies | Ausgabe 1/2016

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Abstract

We examine the effects of biased (conservative or liberal) reporting on product market competition. Cournot duopolists observe either firm-specific or industry-wide shocks and provide noisy reports subject to an exogenous mandated bias attributed to public policy. Given neutral prior beliefs, either a conservative bias or a liberal bias enhances overall reporting-system informativeness as measured by the reduction of uncertainty. Consistent with previously established effects in the information sharing literature regarding increases in informativeness, we show that expected industry profits and expected consumer surplus may gain or lose from bias, depending on whether the shocks are firm-specific or industry-wide and the degree of product competition. Expected social welfare, however, always increases in bias, irrespective of the source of uncertainty and product substitutability or complementarity. We next consider a setting where firms self-select whether to bias reports and characterize regions of potential conflict with a public policy that maximizes expected social welfare. Further results on the differential effects of conservative or liberal bias follow from relaxing the assumption of neutral prior beliefs.

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Fußnoten
1
See Vives (1990) for a brief survey of economics studies. Darrough’s (1993) study serves a similar role in the accounting literature. Raith (1996) encompasses much of the literature with particular attention to uncertainty.
 
2
We are grateful to Phillip Stocken for pointing out that the expected posterior variance is termed the expected residual variance by Crawford and Sobel (1982, p. 1441).
 
3
Contributing to the popularity of Cournot quantity competition in studies of oligopolies is that it can be recovered from a two-stage game in which firms first choose capacities and then engage in Bertrand price competition (Kreps and Scheinkman 1983). Single-stage Bertrand competition in symmetric oligopolies quickly collapses to marginal cost pricing akin to perfect competition in the certainty case. Results on the Bertrand setting are nonetheless available upon request.
 
4
We derive this equality in the appendix. It can also be shown that expected consumer surplus and hence expected social welfare only depend on properties of the reporting system through \(\Delta \,Var\).
 
5
Others have considered information structures similar to ours. In particular, Gigler and Hemmer (2001) employ binary state and report distributions in a setting focused on conflicts of interests between managers and investors. Their structure allows for the case in which conservatism increases the probability of a bad report conditional on a bad state without affecting the probability of a good report conditional on a good state. Our results on the effects of a conservative bias are robust to their formulation. Kwon et al. (2001), Bagnoli and Watts (2005), Smith (2007), Chen and Jorgensen (2012), and Guo (2012) also assume binary state and report distributions.
 
6
The difference in scale across the firm-specific and industry-wide regimes implied by summing states under industry-wide uncertainty is irrelevant since it does not affect our within-regime welfare orderings.
 
7
To see this, suppose that, contrary to the proposition for weak substitutes, Firm 1 chose maximal bias. The best response of Firm 2 would be to choose minimal bias since, by doing so, it benefits from learning more about demand from Firm 2’s report and avoids revealing more of its demand information to Firm 1. Hence maximizing bias cannot be an equilibrium strategy for weak substitutes.
 
8
For a derivation of this equality, see http://​www.​math.​uah.​edu/​stat/​expect/​Conditional.​html , item 11, which is based on the property that for any function \(r\left( X\right) :S\rightarrow \mathfrak {R}\) (where S is the range of X), we have \(E\left[ r\left( \tilde{X}\right) E\left( \tilde{Z}|\tilde{X}\right) \right] =E\left[ r\left( \tilde{X}\right) \tilde{Z}\right]\) ( http://​www.​math.​uah.​edu/​stat/​expect/​Conditional.​html#prp1 ).
 
9
The 16 equations can be broken up into four sets of four-equation systems, where each set consists of the four events that are possible given a realization of \(\left\{ \tilde{y}^{1},\tilde{y} ^{2}\right\}\). For instance, the set of equations associated with \(\left\{ y_{g}^{1},y_{g}^{2}\right\}\) captures the events \(\left\{ A,E,I,M\right\}\) and the associated four-equation system that defines \(\left\{ \hat{Q}_{1,A,E},\hat{Q}_{1,I,M},\hat{Q}_{2,A,I},\hat{Q}_{2,E,M}\right\}\) based on the related FOCs. Each four-equation set is independent of the others.
 
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Metadaten
Titel
Implications of biased reporting: conservative and liberal accounting policies in oligopolies
verfasst von
Henry L. Friedman
John S. Hughes
Richard Saouma
Publikationsdatum
01.03.2016
Verlag
Springer US
Erschienen in
Review of Accounting Studies / Ausgabe 1/2016
Print ISSN: 1380-6653
Elektronische ISSN: 1573-7136
DOI
https://doi.org/10.1007/s11142-015-9342-y

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