Voting and Power in the Small Firm: Alternatives to the One-Share, One-Vote Rule
The Journal of Entrepreneurial Finance
Volume 3
Issue 2 Spring 2004
Article 3
December 1994
Voting and Power in the Small Firm: Alternatives to
the One-Share, One-Vote Rule
Robert Goon
Long Island University
John L. Teall
Pace University
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Recommended Citation
Goon, Robert and Teall, John L. (1994) "Voting and Power in the Small Firm: Alternatives to the One-Share, One-Vote Rule," Journal
of Small Business Finance: Vol. 3: Iss. 2, pp. 127-139.
Available at: https://digitalcommons.pepperdine.edu/jef/vol3/iss2/3
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Voting and Power in the Small Firm:
Alternatives to the One-Share, One-Vote Rule
Robert Goon and John L. Teall
The one-share, one-vote rule applicable to the governance o f most business firms
provides for proportional voting power which differs substantially from propor
tional shareholdings o f investors. This problem is particularly acute in small firms
where several (or many) shareholders may hold significant proportions o f shares.
This paper reviews well-known game theoretic algorithms (weighting or vote
assignment schemes) for the alignment of power with proportional sharehold
ings. It also provides a simple measure o f the “misalignment o f power from
proportional shareholdings” and discusses its applicadon in determining more
equitable vote reassignment schemes.
I. INTRODUCTION AND LITERATURE REVIEW
The one-share, one-vote system of corporate governance is intended to
provide a fair distribution of power among shareholders with diverse interests
and expectations. However, it can be shown rather easily that the one-share,
one-vote system provides a distribution of power that is significantly out of
proportion to the distribution of votes am ong shareholders (Dubey &
Shapley, 1978; Shapiro 8c Shapley, 1978; and Shapley & Shubik, 1954). This
is particularly true for many smaller companies where each of the individual
shareholders or partners may hold significant num bers of shares relative to
the total num ber outstanding. The distribution of power among investors is
particularly im portant in smaller companies for a num ber of reasons:
Robert Goon • Department o f Finance, C.W. Post College, Long Island University, Brookviile, Long
Island, NY 11548; John L. Teall • Department o f Finance, Lubin Schools of Business, Pace University,
NewYork, NY 10038.
The Journal o f SmaU Business Finance, 3(2):127-139
ISSN: 1057-2287
Copyright © 1994 byJAI Press, Inc.
All rights o f reproduction in any form reserved.
128
JOURNAL OF SMALL BUSINESS nNANCE
3(2) 1994
1. Investors in small companies tend to m aintain less diversified portfo
lios. With m ore significant proportions o f their wealth at stake in a
particular firm, control and risk m anagem ent is of greater im portance
to these investors.
2. Small firms subject themselves to significant shifts in power due to
their need to raise capital as they grow. Prospective shareholders in
the firm will be sensitive to the possibility o f being exploited by
controlling shareholders. This potential for abuse may inhibit the
small firm ’s ability to raise capital and grow. The reassignm ent of
voting rights may be an excellent means to deal with this problem .
3. Given that smaller firms are likely to have several shareholders holding
significant proportions of the firm ’s stock, the power level of each
shareholder is likely to be of greater consequence.
4. Shareholders of small firms firequently form readily identifiable coa
litions affecting the power structure of the firm.
5. Small firms differ from larger firms in that their securities tend to be
less marketable and m ore closely held, rendering the distribution of
control and minority discounts difficult to evaluate by owners and
prospective purchasers.^ Frequently, valuations are m andated and
determ ined by court systems and tax authorities. D ant (1975) dis
cusses the increased willingness of the court system to recognize the
value of control when establishing minority discounts.
Small firms are particularly suitable for various schemes to deviate from
one-share, one-vote rules. In addition to the im portance of the distribution
of power to small firms discussed above, it is often easy to determ ine how
many shares are owned by an investor at a given point in time when shares
are transferred and which investors are most likely to vote as blocks.
The game theory literature provides substantial inform ation on the meas
urem ent of power (e.g, Milnor 8c Shapley, 1978; Owen, 1972; von Neumann
8c M orgenstern, 1944). These and other works have provided a foundation
for the m easurem ent and valuation of control in the business and finance
literature (Rydqvist, 1987; Robinson & White, 1989). The Shapley value and
its “oceanic” variations (for large firms) have been used most extensively in
the financial literature (Rydqvist, 1986,1987; Robinson &: W hite, 1989) and
there have been occasional references to the Banzhaf index (Rydqvist, 1986).
Each of these papers note the discrepancy between investor shareholdings
proportions and relative voting power levels. Ratner (1970) argues that the
one-share, one-vote rule gives excessive power to holders of large blocks,
resulting in significant misallocations of resources and redistributions of
wealth. Meeker and Joy (1980) and Meeker, Joy, and Cogger (1983) in their
129
Small Firm Voting and Power
studies of closely held banks dem onstrate the im portance of voting and
control in the smaller, closely held firm.
The firm is regarded here as a set of contracts (the corporate charter,
bylaws, bond indentures, m anagerial contracts, etc.) characterizing th ejo in t
activities o f and the payoffs to the contracting parties (see Alchian &: Demsetz
1972; Fama, 1980; Jensen Sc Meckling, 1976). This contractual structure
specifies a wide range of the firm ’s activities. However, Easterbrook and
Fischel (1983) argue that it is impractical, cosdy, or impossible for this set of
contracts to fully prespecify all of the activities which may be necessary in
reaction to unknown future conditions. Thus, the im portance of the voting
mechanism is that it is intended to provide for “fair” reactions to varying
conditions on a timely basis. Presumably, the num ber of votes an investor
holds is a function of the value of his investment in the firm; therefore, his
voting power is based on the im portance of the election to him. Nonetheless,
the one-share, one vote rule provides for voting power which is not propor
tional to shareholdings (For example, consider the obvious case of two voters,
where one has 49 percent o f the votes). Voting reassignm ent sc (...truncated)