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Resources › Economic development › 12. Land and tenancy
Economic development · Lesson 12 of 16

Land, tenancy and sharecropping

Why do farmers rent land for a share of the crop when a fixed rent would give better incentives? This lesson sets out the four kinds of tenancy, Marshall’s argument that sharecropping wastes effort and Cheung’s reply, the trade-off between risk and incentives that explains share contracts (with a calculator that finds the best share), interlinked contracts, and what land reform did in India and elsewhere.

← Economic development moduleLesson 12 of 16 · about 45 minutes
1What is development?2HDI and its family3Lewis and Fei–Ranis4Harris–Todaro5Big push and traps6Development strategy7Aid and capital8Demographic transition9Demographic measures10Human capital11Labour and informality12Land and tenancy13Rural credit14Agriculture and MSP15The commons16Sustainability
The short answer

Why does sharecropping exist, and is it inefficient?

Moral hazard and risk, the two ideas used here, return in the credit lesson that follows (Lesson 13), and the Harris–Todaro and dual-economy lessons (3 and 4) describe the landless labour that tenancy reform tried to reach.

e=kα​,α∗=1+ρσ2k1​
  • Fixed rent: the tenant bears all the risk and works at the efficient level. Wage: the landlord bears the risk, the worker has little reason to work.
  • Sharecropping shares risk but blunts effort: the tenant keeps only a share α of the extra output (Marshall).
  • Best share falls as risk aversion, the variance of output and the cost of effort rise. Cheung: contract terms can offset the loss.
  • Land reform in India: abolition of intermediaries, tenancy reform, ceilings, consolidation.
A question to hold on to
A family owns a plot of land, and two people are needed to work on each acre. Each acre produces Rs 6,000, and each family member can work on the land or work elsewhere for Rs 1,500 a year. If the land is leased out, the labour working on it must be paid Rs 2,000. How much rent per acre can the family earn annually if the land is leased out?
JNU 2021 · standardSolved at the end ↓
New to this? The few things you need first
Moral hazard
When one party cannot observe another’s effort or care, the second may take less than the efficient amount, because they do not bear all the cost of the outcome.
Risk aversion
A risk-averse person prefers a sure income to a gamble with the same average, and will pay to avoid risk; the more they dislike risk, the more they will give up in average income to avoid it.
Marginal product
The extra output from one more unit of an input, here effort or labour on a plot.
In this guide
Lesson · about 45 minutes
  1. Four ways to work another person's land
  2. Marshall's inefficiency and Cheung's reply
  3. Risk against incentives: why share contracts exist
  4. Interlinked contracts
  5. Land reform: what was tried and what it did
  6. The opening question, solved
  7. The lesson on one screen
  8. Check yourself
  9. Past papers, by level
  10. Quick answers
01
Who farms and on what terms

Four ways to work another person's land

Land is the main asset of rural households, and many of the poorest farm land they do not own. There are four basic arrangements for a plot with one owner and one cultivator.

  • Owner cultivation: the owner works the land and keeps the output and bears the risk.
  • Fixed-rent tenancy: the tenant pays a fixed sum, in money or in grain, and keeps the rest. All risk is borne by the tenant (JNU 2018), and the tenant has full incentive, because the whole of any extra output is his.
  • Sharecropping: the tenant pays a fixed share of the crop. Risk is shared between landlord and tenant, and so is the extra output from more effort.
  • Wage labour: the landlord hires a worker for a wage and keeps the whole crop. The landlord bears the risk, and the worker has no direct stake in the output.

The four sit on a line from full incentive and full risk (the tenant at fixed rent) to no incentive and no risk (the wage worker), with sharecropping in the middle. The rest of the lesson is about why people choose the middle.

02
The oldest argument

Marshall's inefficiency and Cheung's reply

Alfred Marshall (Principles of Economics, 1890, Book VI, chapter X) argued that a tenant who hands over half of what he grows will stop working when the value of the extra output to himself, half of it, equals the cost of the effort. A tenant who kept it all would work until the whole of the extra output equalled the cost. So share tenancy under-supplies effort: it is a tax on the tenant’s marginal product. In the model of this lesson, output is the tenant’s effort e plus a shock from the weather, and effort costs ke2/2. With a share α, the tenant picks effort so that his share of the extra output, α, equals the marginal cost ke, so

e=kα​,against the efficient level e∗=k1​.

At a half share, effort is half the efficient level. The evidence has been mixed: Shaban (1987) compared plots in Indian villages and found lower yields and input use on plots of the same owner that were sharecropped than on those he cultivated himself, which supports Marshall; other studies find little difference.

Steven Cheung (1968, 1969) replied that the argument assumes the contract fixes only the share. A landlord can also write into the contract the inputs the tenant must use and the crops he must grow, and can end the tenancy if the tenant shirks; where these can be enforced at low cost, a share contract gives the same effort as a fixed rent, and the landlord, who earns a share of the output, has an interest in doing so. On this view the choice among contracts reflects the cost of enforcing terms and the wish to share risk, and the observed contracts are not inefficient given those costs.

Who, when and why it mattered
  1. 1890
    Alfred Marshall, Principles of Economics (Macmillan, London), Book VI, chapter X, on the metayer system.
  2. 1968
    Steven N. S. Cheung, “Private property rights and sharecropping”, Journal of Political Economy 76(6), 1107–1122. His book The Theory of Share Tenancy (University of Chicago Press) followed in 1969.
  3. 1987
    Abdul Shaban, “Testing between competing models of sharecropping”, Journal of Political Economy 95(5), 893–920.
03
The best share

Risk against incentives: why share contracts exist

Joseph Stiglitz (1974) put risk into the account. If the tenant could carry risk at no cost, the landlord would charge a fixed rent and the efficient effort would follow. But a poor tenant has no savings to fall back on, and a failed crop is a disaster, so he is risk averse; the landlord, who has other income, is less so. A fixed rent therefore puts the risk on the party least able to bear it, and a share contract moves part of it to the landlord, at the price of weaker incentives. The right share balances the two costs: the loss from under-supplied effort (which is bigger when the tenant’s share is low) and the cost of risk (which is bigger when his share is high).

Write the total surplus, output less the cost of effort and less the cost of risk, as a function of the tenant’s share α. With risk aversion ρ and variance of the shock σ², the cost of risk to the tenant is ρσ²α²/2, and the surplus is maximised at

α∗=1+ρσ2k1​.

The best share is below one whenever there is any risk and risk aversion, and falls as the tenant becomes more risk averse, the weather more variable or effort more costly to give. If the tenant does not mind risk (ρ = 0) the best share is one: a fixed rent. In the calculator’s base case (k = 1, σ² = 0.5, ρ = 2), the best share is one half, and the surplus is 0.25 at that share and zero at a fixed rent, since at a fixed rent the tenant works at the efficient level but the cost of risk absorbs all of the gain. Move the sliders and see which way the best share goes.

−0.5−0.2500.250.50%25%50%75%100%Tenant's share of outputTotal surplus of tenant and landlordbest sharethis contract00.250.50.7510%25%50%75%100%Tenant's share of outputEffort
Tenant's effort0.5 (efficient 1)
Expected output0.5
Total surplus0.25 (peak 0.25)
Cost of risk borne by the tenant0.125
Best share, 1/(1 + ρ·var·k)50%
Landlord's share of expected output0.25
Pause and predict
Weather becomes more variable (the variance of the shock rises), other things equal. What happens to the best tenant's share?
Who, when and why it mattered
  1. 1974
    Joseph E. Stiglitz, “Incentives and risk sharing in sharecropping”, Review of Economic Studies 41(2), 219–255.
04
One contract, several markets

Interlinked contracts

In village economies the same two people often trade in several markets at once. A landlord who rents out land also lends to the tenant, hires him as labour in the busy season and buys his surplus crop. These interlinked (interlocked) contracts are the subject of a literature that began with Amit Bhaduri (1973), who argued that landlords lent to tenants at a high interest rate because the debt kept the tenants tied to the land, and so had a reason to resist improvements that would make the tenants better off, a condition he called semi-feudalism. Pranab Bardhan (1980) surveyed the issues: interlinking lets a landlord use one contract to enforce another, to screen tenants, to get information about their effort, and to extract more of the surplus than separate markets would allow.

An example relevant to the exam: tenant farmers often cannot obtain crop loans from banks because the tenancy is oral: with no written record of the lease, the bank has no proof that the borrower is the cultivator, and no collateral (UOH 2017). A tenant therefore turns to the landlord or a moneylender, who can monitor him more easily, which is how credit and tenancy become linked.

Who, when and why it mattered
  1. 1973
    Amit Bhaduri, “A study in agricultural backwardness under semi-feudalism”, Economic Journal 83(329), 120–137.
  2. 1980
    Pranab K. Bardhan, “Interlocking factor markets and agrarian development: a review of issues”, Oxford Economic Papers 32(1), 82–98.
05
Changing who owns the land

Land reform: what was tried and what it did

Land reform changes who owns or controls land. After independence India tried four kinds:

  • Abolition of intermediaries (zamindars, jagirdars, inamdars), in the 1950s, which put the actual cultivators in direct relation with the state.
  • Tenancy reform: regulation of rents, security of tenure and, in some states, ownership for tenants.
  • Ceilings on holdings, with the surplus land to be distributed to the landless. The laws largely failed: little land was declared surplus (UOH 2017), by the usual accounts because owners had divided their holdings among relatives before the laws came into force and because of exemptions.
  • Consolidation of fragmented holdings.

The evidence differs by type. Besley and Burgess (2000), using state laws from 1958 to 1992, found that land reform legislation was associated with lower rural poverty, mainly through tenancy reform and the abolition of intermediaries, and not through ceilings. Banerjee and Iyer (2005) found that districts where the British gave landlords the right to collect revenue had lower farm investment and yields after independence than districts where the right lay with cultivators. West Bengal’s Operation Barga, from 1977, registered sharecroppers and gave them security against eviction; Banerjee, Gertler and Ghatak (2002) attribute a large part of the rise in the state’s farm productivity to it. Outside India, the successful reforms were those carried out by strong governments after the Second World War in Japan, South Korea and Taiwan, in which landlords were paid little in real terms (UOH 2011).

Ownership or secure tenancy?

Transferring ownership is politically hard and, on the Indian evidence, has been rare. Giving sharecroppers security and a larger share, as in West Bengal, gives them an incentive to invest without changing who owns the land, and it costs the state little. It also relieves some of the effects of interlinked contracts, by making the tenant less dependent on the landlord.

Who, when and why it mattered
  1. 2000
    Timothy Besley and Robin Burgess, “Land reform, poverty reduction, and growth: evidence from India”, Quarterly Journal of Economics 115(2), 389–430.
  2. 2002
    Abhijit V. Banerjee, Paul J. Gertler and Maitreesh Ghatak, “Empowerment and efficiency: tenancy reform in West Bengal”, Journal of Political Economy 110(2), 239–280.
  3. 2005
    Abhijit Banerjee and Lakshmi Iyer, “History, institutions, and economic performance: the legacy of colonial land tenure systems in India”, American Economic Review 95(4), 1190–1213.
06
Solving the opening question

The opening question, solved

JNU 2021 · standard
Two people are needed per acre; each acre produces Rs 6,000; each member can earn Rs 1,500 elsewhere; if the land is leased out, the labour on it must be paid Rs 2,000. How much rent per acre can the family earn if the land is leased out?
  1. 1
    Output.
    An acre produces Rs 6,000.
  2. 2
    Wage bill.
    Two workers at Rs 2,000 each cost Rs 4,000 (the Rs 1,500 outside wage is not what a tenant must pay when the land is leased).
  3. 3
    Rent.
    Rs 6,000 − Rs 4,000 = Rs 2,000.
Answer
Rs 2,000 per acre.
JNU 2018 · foundation
In a fixed-rent tenancy, risk is:
  1. 1
    Who is the residual claimant?
    The landlord gets the same rent in good and bad years; the tenant keeps whatever is left.
Answer
Borne by the tenant.
UOH 2017 · standard
Tenant farmers are not able to receive crop loans from banks because of:
  1. 1
    Evidence.
    A bank needs proof that the borrower cultivates the land. Oral leases leave no record.
Answer
The oral nature of prevailing tenancy contracts.
Watch out for

The mistakes examiners are fishing for

  • Saying the tenant bears the risk in sharecropping. That is fixed rent; in sharecropping the risk is shared.
  • Forgetting the base of Marshall’s argument. It is the share of the marginal product that the tenant keeps.
  • Giving Cheung the opposite view. He argued that the contract can fix inputs, so sharecropping need not be inefficient.
  • Treating the best share as fixed. It falls with risk aversion, variance and the cost of effort.
  • Counting the outside wage in the rent calculation. When the land is leased out, the tenant’s labour is paid the stated wage.
07
Revise

The lesson on one screen

The lesson on one screen
Contracts
Fixed rent (tenant bears risk, full incentive); share (shared risk, weaker incentive); wage (landlord bears risk).
Marshall
A tenant keeping α of the extra output works at e = α/k, below the efficient 1/k.
Cheung
Contract terms and monitoring can fix inputs; share contracts share risk.
Best share
α* = 1/(1 + ρσ²k): lower when risk is large or the tenant dislikes it; α* = 1 with no risk aversion.
Interlinking
Bhaduri 1973, Bardhan 1980: land, credit and labour tied in one contract; oral leases cut tenants off from bank credit.
Reform
Intermediaries abolished; tenancy reform worked best; ceilings largely failed; Operation Barga from 1977.
08
Practice

Check yourself

0 of 11 correct so far

A. Numbers

Problem 1
An acre needs two workers and yields Rs 9,000. If the land is leased out, workers on it must be paid Rs 2,500 each. What is the rent per acre (Rs)?
Problem 2
Effort costs ke²/2 with k = 2. A sharecropper keeps a share α = 0.5 of output. Find his effort and the efficient effort.
Problem 3
Find the surplus-maximising tenant’s share α* = 1/(1 + ρσ²k) when ρ = 2, σ² = 1 and k = 1 (three decimals).
Problem 4
With k = 1, σ² = 0.5 and ρ = 2, the surplus is e − ke²/2 − ρσ²α²/2 with e = α. Find the surplus at a share of 0.5 and at a fixed rent (share of 1).

B. Concepts

1In a fixed-rent tenancy, the party who bears the risk of a bad harvest is
2Marshall argued that sharecropping is inefficient because
3When the tenant is risk neutral, the surplus-maximising share is
4An interlinked contract is one in which
5Of the Indian land reforms, the one that studies find was associated with lower rural poverty was
09
Real questions

Past papers, by level

Questions on tenancy contracts, land reform and rural credit for tenants. Agricultural credit more generally is in Lesson 13.

Foundation

Definitions, components of indices, who said what, and one-step calculations. Most Hyderabad and CUET questions sit here.

1 questionPractise →

Standard

Calculations from definitions, statement and matching questions, up to JNU, IIT JAM, GATE and UGC NET level.

4 questionsPractise →
All 5 past-paper questions for this lesson, easiest first: practise the full set →

✦These are questions from the TestStop bank. A free account answers 10 a day, each with its worked solution; All-Access opens every set with no daily limit.

10
Quick answers

Frequently asked questions

What is sharecropping?

Sharecropping is a tenancy contract in which the tenant gives the landlord a fixed share of the crop, instead of a fixed sum of money, as rent. The landlord's income then depends on the harvest, which means the landlord shares the risk of a bad year, but the tenant keeps only part of the extra output that more effort produces.

What is Marshall's inefficiency of sharecropping?

Alfred Marshall (1890) argued that a tenant who keeps only a share of the output will stop applying effort when the gain from more effort, a fraction of the extra output, equals its cost to him. That is below the efficient level, where the full extra output would be counted. In the simple model the tenant's effort is the share times the efficient level of effort.

What was Cheung's reply?

Steven Cheung (1968, 1969) argued that a landlord can write the contract to include the inputs and the effort the tenant must supply, and can end the tenancy at the end of the season, so that the share contract reaches the same outcome as a fixed rent, given the cost of monitoring. Share contracts exist to share risk, he argued, and are not evidence of inefficiency in the way Marshall's argument suggests.

In a fixed-rent tenancy, who bears the risk?

The tenant. The landlord receives the same rent whatever the harvest, and the tenant keeps what is left, so all variation in output falls on the tenant. A risk-averse tenant would rather share the risk with the landlord, which is one reason sharecropping exists.

What are interlinked markets?

Interlinked, or interlocked, markets are transactions in which two or more exchanges, for example land, credit and labour, are tied into a single contract between the same two parties. A landlord who lends to his tenant at an interest rate that depends on the tenancy terms is the standard example. Bhaduri (1973) and Bardhan (1980) are the usual references.

What are the types of land reform in India?

The usual list is the abolition of intermediaries such as zamindars and jagirdars in the 1950s, tenancy reform (regulating rents, giving tenants security and, in some states, ownership), ceilings on the size of holdings with distribution of the surplus land, and consolidation of fragmented holdings. A study by Besley and Burgess (2000) found that tenancy reform and the abolition of intermediaries were associated with poverty reduction across Indian states, but ceilings and consolidation were not.

← Lesson 11Labour, employment and informalityLesson 13 →Rural credit and microfinance

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