The authors declare no conflicts of interest regarding the publication of this paper.
Temporary production subsidies are used to promote competition in concentrated industries with persistent cost asymmetry. A common policy assumption is that short-run expansion by higher-cost firms will translate into durable competitive pressure once support is withdrawn. This paper shows why that implication need not hold. In a market where a low-cost incumbent disciplines prices both before and after intervention, a temporary marginal-cost subsidy can rationally induce a higher-cost firm to expand by incurring irreversible fixed costs, even though the subsidy does not improve its long-run competitive position. When the subsidy expires and marginal costs revert, unchanged price discipline combined with higher fixed obligations can render continued operation unprofitable, leading to exit. The analysis isolates a simple mechanism through which temporary subsidies can generate short-run competitive gains while reducing long-run firm viability. Although motivated by recent policy interventions in meatpacking, the mechanism applies more broadly to asymmetric markets in which cost advantages persist and expansion decisions are irreversible.
Recent U.S. industrial policy has increasingly relied on temporary, cost-based interventions to promote entry and expansion in highly concentrated markets. In the meatpacking sector, for example, federal programs such as the Meat and Poultry Processing Expansion Program (MPPEP) and Local Meat Capacity Grant (Local MCap) have sought to increase competition by subsidizing production costs at smaller and independent processors. These interventions are often justified by the expectation that short-run increases in output and capacity will translate into more competitive market structures over the long run.
This logic is intuitive. By reducing marginal costs, temporary subsidies encourage firms to expand output and, in some cases, invest in additional capacity. Greater short-run production is commonly interpreted as evidence that policy has succeeded in strengthening competitors relative to dominant incumbents. Yet it is far less clear whether such short-run gains imply improved long-run firm viability, particularly in markets characterized by persistent cost asymmetries.
This paper studies a setting in which a small firm competes against a low-cost incumbent that disciplines the market price both before and after a temporary subsidy. The small firm receives a per-unit production subsidy for a single period and may respond by expanding output and undertaking an irreversible fixed-cost investment that increases its scale of production. Once the subsidy expires, marginal costs revert to their original level, while any fixed costs incurred during expansion remain. The analysis focuses on the firm’s private incentives to expand and the conditions under which subsidy-induced expansion may undermine long-run viability.
The model deliberately abstracts from strategic pricing and general equilibrium considerations in order to isolate a simple mechanism. Expansion during the subsidy period may be privately optimal even when post-subsidy operating margins are insufficient to sustain the expanded scale of production. In such cases, temporary cost relief can induce rational expansion that increases the likelihood of exit once the subsidy expires. The results highlight a limitation of temporary cost-based interventions in asymmetric markets: short-run competitive gains do not necessarily translate into durable improvements in long-run firm survival.
The model generates a clear empirical implication: temporary subsidies that induce capital-deepening expansions without reducing marginal costs should increase the probability of exit once program support expires, particularly in environments where dominant incumbents continue to discipline price. Although the present paper is purely theoretical, this prediction provides a testable hypothesis for future empirical work.
Recent federal initiatives in the U.S. meat and poultry sector have directed temporary financial support toward smaller and regional processors, with the aim of reducing market concentration, increasing competitive resilience, and encouraging capacity expansion. These policies are motivated by long-standing structural features of the industry. A substantial body of USDA work documents persistent consolidation and scale economies in meatpacking, with large incumbent firms operating at lower costs and continuing to discipline national prices, while smaller rivals face higher marginal costs and thinner operating margins ([
Two observations from this experience motivate the model that follows. First, cost asymmetries in concentrated processing industries tend to persist rather than dissipate quickly. Second, policy efforts often encourage temporary expansion by higher-cost firms without materially narrowing the underlying cost gap relative to dominant incumbents. The question this paper addresses is whether such temporary support can meaningfully reshape long-run competition, or whether it may instead generate expansions that are not viable once external support is removed.
In markets with asymmetric costs, equilibrium outcomes are anchored by the cost structure and capacity choices of dominant firms, limiting the ability of higher-cost rivals to influence prices through their own output decisions. This logic is central in canonical treatments of oligopoly behavior ([
The analysis also relates to the broader literature on investment under irreversibility and firm responses to temporary policy interventions. A large body of work emphasizes that sunk costs, capacity commitments, and uncertainty create asymmetric consequences for expansion and contraction, so that short-run incentives may induce durable long-run obligations ([
The model is therefore intentionally stylized. By abstracting from strategic pricing responses and instead linking temporary marginal cost relief, irreversible expansion, and persistent price discipline, the analysis isolates a transparent mechanism through which temporary subsidies may generate visible short-run expansion while increasing, rather than reducing, long-run exit risk in asymmetric markets.
We consider a market with two types of firms: a dominant incumbent firm with low marginal cost and a smaller regional firm with higher marginal cost. Firms compete in prices in a national market characterized by persistent cost asymmetry. The incumbent’s cost advantage allows it to discipline the national market price both before and after any policy intervention. The smaller firm takes the market price as given and chooses output conditional on that price.
Consider a market for a homogeneous good served by a dominant low-cost incumbent and a smaller higher-cost firm. The market operates over three periods, indexed by
with
The incumbent has constant marginal cost normalized to zero and sets a national market price
We assume that the dominant incumbent is sufficiently large and cost-advantaged that it continues to discipline the national market price at
The small firm’s behavior differs across the three periods. In periods 1 and 3, it takes the incumbent-disciplined national price as given and chooses output to maximize operating profits at its baseline marginal cost 𝑐. In period 2, a temporary per-unit subsidy reduces its effective marginal cost, increasing the marginal profitability of output. During this subsidy period, the firm may also choose to undertake an irreversible scale expansion by incurring a fixed cost
In period 2 only, the small firm receives a per-unit production subsidy
In addition to choosing output in each period, the small firm may elect to expand its scale of production in period 2 by incurring a fixed cost
Expansion should be interpreted as creating an ongoing financial commitment rather than a one-time sunk expenditure. In concentrated processing industries, capacity expansions typically involve debt service, long-term equipment leasing, or recurring maintenance and compliance costs that must be serviced each period. We therefore treat
Although the fixed obligation
In periods 1 and 3, when no subsidy is available, the small firm chooses output to maximize operating profits given the market price
In period 2, the firm chooses output taking the subsidy into account:
We assume that feasible output in any period is bounded by technological or capacity constraints, so the firm’s optimal output is finite and increasing in the per-unit margin. Let
Expansion affects the firm’s feasible scale of output but does not alter marginal costs. Without expansion, the firm’s feasible output is bounded above by its pre-existing capacity, while expansion relaxes this constraint by increasing the maximum feasible output level. Because feasible output remains bounded but increases with capacity, the firm’s operating scale is increasing in the per-unit margin but finite in every period. Let
This comparison should be interpreted as a forward-looking decision: the firm undertakes expansion only when subsidy-period incremental operating profits are sufficient to justify committing to a recurring fixed obligation
Because the subsidy is temporary, expansion does not affect the firm’s marginal cost or pricing environment in period 3.
In period 3, the firm again faces marginal cost
If the firm expanded in period 2, it must service the fixed cost
If post-subsidy operating profits net of fixed costs are negative, the firm exits the market. Exit is irreversible and reflects the firm’s inability to cover fixed obligations under post-subsidy conditions, not a change in pricing behavior or cost rankings.
An equilibrium consists of a national price
This section characterizes equilibrium outcomes before, during, and after the subsidy period.
In period 1, the incumbent sets and sustains the national market price at
When the subsidy expires in period 3, the small firm’s marginal cost returns to
In equilibrium, the national market price is identical in periods 1 and 3 and is determined by the low-cost incumbent firm. The temporary subsidy does not affect the equilibrium price before or after the subsidy period.
In periods 1 and 3, the small firm takes the market price as given. By Equation (2), its operating profits in period 1 are
Where
Because neither the incumbent’s cost structure nor the national pricing discipline is affected by a temporary subsidy to the fringe firm, the equilibrium price is unchanged once the subsidy expires. ∎
In period 2, the subsidy reduces the small firm’s effective marginal cost from
If the subsidy increases the firm’s operating margin sufficiently that the incremental profits generated in period 2 cover the recurring fixed obligation
With the subsidy in place, the firm chooses its period-2 output to maximize operating profits under the lower effective marginal cost
If the firm expands in period 2, it enters period 3 with the same disciplined market price
If the operating surplus generated in period 3 is insufficient to cover the fixed obligation created by expansion, the small firm exits when the subsidy expires. If the surplus is sufficient to cover the obligation, the firm remains in the market.
Once the subsidy expires, the firm faces the same disciplined price
The mechanism is most transparent in environments where a dominant incumbent disciplines price and the subsidized firm is effectively a price taker. However, it is useful to consider how the qualitative implications may extend to alternative market structures.
In settings with product differentiation or spatial competition, the incumbent’s pricing response to small-firm expansion would likely be attenuated, but not eliminated. If the price response is weak, the core logic remains: temporary cost relief can rationally induce expansion that becomes financially fragile once support is removed. When product differentiation is limited and cross-price elasticities are high, a monopolistically competitive environment would closely approximate the Bertrand-style price discipline assumed here, leaving the qualitative mechanism unchanged.
In Cournot-type quantity competition, the incumbent would partially adjust output in response to the subsidized firm’s expansion. This would mitigate, but not necessarily eliminate, the exit risk. As long as post-subsidy prices do not rise sufficiently to cover the newly created fixed obligation, the firm may still undertake expansions that are ex post unsustainable.
In Stackelberg or price-leadership environments, the incumbent may strategically internalize the entrant’s expansion when setting price. Even then, the basic insight can persist when the incumbent continues to anchor industry pricing and expansion obligations remain fixed.
Briefly, in a standard Cournot framework or in a price-leadership setting where the incumbent’s pricing partially responds to the fringe firm’s expansion, subsidy-induced capacity increases would be partially absorbed into market price dynamics. However, unless the resulting price adjustments fully compensate for the newly created fixed obligation, the core result remains: expansion can be privately optimal under subsidy yet unsustainable once support expires. A full formal treatment of these alternative strategic environments is left to future work.
This paper examines how temporary production subsidies affect competition and firm survival in markets characterized by persistent cost asymmetry. Using a simple price competition framework, the analysis shows that short-run cost relief can increase output and competitive activity during the subsidy period without altering the long-run forces that discipline prices. When underlying cost advantages remain fixed, equilibrium prices before and after intervention continue to be set by low-cost incumbents.
The core mechanism in the model is the interaction between temporary marginal-cost relief and irreversible expansion. Higher-cost firms may rationally choose to expand during the subsidy period by incurring additional fixed costs, even though the subsidy does not improve their long-run competitive position. Expansion is privately optimal because temporary cost relief raises operating profits over the subsidy window. Once the subsidy expires, marginal costs revert while fixed obligations remain. If baseline operating profits are insufficient to cover those commitments, continued operation becomes unprofitable and the firm exits.
In these settings, exit does not reflect firm error, distorted expectations, or intensified post-subsidy competition. Instead, it follows from the incentives created by temporary support operating against unchanged market conditions.
Although motivated by recent developments in meatpacking, the same logic applies in other concentrated industries where dominant firms discipline prices and expansion decisions require irreversible commitments. The simplicity of the framework is intentional and it helps keep the focus on the mechanism through which temporary marginal-cost support can rationally lead to expansion followed by exit.
An important direction for future empirical research is to evaluate this mechanism directly. If subsidized firms that expand scale without narrowing underlying cost disadvantages exhibit elevated exit risk once subsidies end, this would provide direct support for the theoretical channel identified here. Assessing this prediction across comparable policy environments would help gauge the practical relevance and external validity of the framework developed in this paper.
From a welfare perspective, the effects of temporary production subsidies are ambiguous. In the short run, the subsidy increases output among subsidized firms and can expand processing capacity, benefiting consumers through greater availability and potentially lower effective prices. In this sense, consumers unambiguously benefit during the subsidy period. However, if subsidized expansion induces irreversible fixed-cost commitments that cannot be sustained once the subsidy expires, subsequent firm exit may increase concentration and reduce competitive pressure in the long run. The net welfare consequences therefore depend on the relative magnitude and duration of short-run gains compared to longer-run effects on market structure, particularly in settings where underlying cost advantages held by dominant incumbents persist.
This research was supported by a North Central Regional Center for Rural Development (NCRCRD) Fellowship for 2025-2026.
1In the context of the motivating meatpacking industry,
2In practice, expansion by smaller regional processors may exert modest downward price pressure within their local operating regions. Our analysis is conducted at the national level, where pricing is anchored by dominant incumbents whose scale and cost advantages make these local effects negligible in determining the disciplined price