In the absence of subgame-perfect enforcement mechanisms (where “subgame-perfect” means enforcement mechanisms that are OK enough that people are willing to use them), game theory suggests that it is easy to get into an “everyone-out-for-self” equilibrium. In the Federalist Papers #22, Alexander Hamilton begins by saying that the Articles of Confederation led toward an “everyone-out-for-self” equilibrium in both trade policy and in putting together an army.

The lack of a coordinated trade policy led to difficulties in negotiating favorable trade treaties with other countries:

No nation acquainted with the nature of our political association would be unwise enough to enter into stipulations with the United States, by which they conceded privileges of any importance to them, while they were apprised that the engagements on the part of the Union might at any moment be violated by its members, and while they found from experience that they might enjoy every advantage they desired in our markets, without granting us any return but such as their momentary convenience might suggest.

Uncoordinated trade policy also presented the danger of destroying a single market for the United States and in that process creating animosity between states:

The interfering and unneighborly regulations of some States … if not restrained by a national control, would be multiplied and extended till they became not less serious sources of animosity and discord than injurious impediments to the intercourse between the different parts of the Confederacy.

Lack of coordination in raising an army forfeited the monopsony power the government could otherwise have had in hiring troops (note that Alexander Hamilton seems to assume that a draft is not feasible):

The power of raising armies, by the most obvious construction of the articles of the Confederation, is merely a power of making requisitions upon the States for quotas of men. This practice … gave birth to a competition between the States which created a kind of auction for men. In order to furnish the quotas required of them, they outbid each other till bounties grew to an enormous and insupportable size.

Moreover, states not immediately threatened by enemy troops shirked in providing troops, thereby “free-riding” on the military efforts of the states closer to the fighting:

The States near the seat of war, influenced by motives of self-preservation, made efforts to furnish their quotas, which even exceeded their abilities; while those at a distance from danger were, for the most part, as remiss as the others were diligent, in their exertions.

These arguments seem persuasive, though needing to be combined with many other arguments to make a truly strong case for “a more perfect union” than the weak Articles of Confederation.

Below is the full text of the first part of the Federalist Papers #22. (I have inserted the text of footnotes within brackets in the main text.)

FEDERALIST NO. 22

The Same Subject Continued: Other Defects of the Present Confederation

From the New York Packet
Friday, December 14, 1787.

Author: Alexander Hamilton

To the People of the State of New York:

IN ADDITION to the defects already enumerated in the existing federal system, there are others of not less importance, which concur in rendering it altogether unfit for the administration of the affairs of the Union.

The want of a power to regulate commerce is by all parties allowed to be of the number. The utility of such a power has been anticipated under the first head of our inquiries; and for this reason, as well as from the universal conviction entertained upon the subject, little need be added in this place. It is indeed evident, on the most superficial view, that there is no object, either as it respects the interests of trade or finance, that more strongly demands a federal superintendence. The want of it has already operated as a bar to the formation of beneficial treaties with foreign powers, and has given occasions of dissatisfaction between the States. No nation acquainted with the nature of our political association would be unwise enough to enter into stipulations with the United States, by which they conceded privileges of any importance to them, while they were apprised that the engagements on the part of the Union might at any moment be violated by its members, and while they found from experience that they might enjoy every advantage they desired in our markets, without granting us any return but such as their momentary convenience might suggest. It is not, therefore, to be wondered at that Mr. Jenkinson, in ushering into the House of Commons a bill for regulating the temporary intercourse between the two countries, should preface its introduction by a declaration that similar provisions in former bills had been found to answer every purpose to the commerce of Great Britain, and that it would be prudent to persist in the plan until it should appear whether the American government was likely or not to acquire greater consistency. [This, as nearly as I can recollect, was the sense of his speech on introducing the last bill.]

Several States have endeavored, by separate prohibitions, restrictions, and exclusions, to influence the conduct of that kingdom in this particular, but the want of concert, arising from the want of a general authority and from clashing and dissimilar views in the State, has hitherto frustrated every experiment of the kind, and will continue to do so as long as the same obstacles to a uniformity of measures continue to exist.

The interfering and unneighborly regulations of some States, contrary to the true spirit of the Union, have, in different instances, given just cause of umbrage and complaint to others, and it is to be feared that examples of this nature, if not restrained by a national control, would be multiplied and extended till they became not less serious sources of animosity and discord than injurious impediments to the intercourse between the different parts of the Confederacy. "The commerce of the German empire [Encyclopedia, article "Empire."] is in continual trammels from the multiplicity of the duties which the several princes and states exact upon the merchandises passing through their territories, by means of which the fine streams and navigable rivers with which Germany is so happily watered are rendered almost useless." Though the genius of the people of this country might never permit this description to be strictly applicable to us, yet we may reasonably expect, from the gradual conflicts of State regulations, that the citizens of each would at length come to be considered and treated by the others in no better light than that of foreigners and aliens.

The power of raising armies, by the most obvious construction of the articles of the Confederation, is merely a power of making requisitions upon the States for quotas of men. This practice in the course of the late war, was found replete with obstructions to a vigorous and to an economical system of defense. It gave birth to a competition between the States which created a kind of auction for men. In order to furnish the quotas required of them, they outbid each other till bounties grew to an enormous and insupportable size. The hope of a still further increase afforded an inducement to those who were disposed to serve to procrastinate their enlistment, and disinclined them from engaging for any considerable periods. Hence, slow and scanty levies of men, in the most critical emergencies of our affairs; short enlistments at an unparalleled expense; continual fluctuations in the troops, ruinous to their discipline and subjecting the public safety frequently to the perilous crisis of a disbanded army. Hence, also, those oppressive expedients for raising men which were upon several occasions practiced, and which nothing but the enthusiasm of liberty would have induced the people to endure.

This method of raising troops is not more unfriendly to economy and vigor than it is to an equal distribution of the burden. The States near the seat of war, influenced by motives of self-preservation, made efforts to furnish their quotas, which even exceeded their abilities; while those at a distance from danger were, for the most part, as remiss as the others were diligent, in their exertions. The immediate pressure of this inequality was not in this case, as in that of the contributions of money, alleviated by the hope of a final liquidation. The States which did not pay their proportions of money might at least be charged with their deficiencies; but no account could be formed of the deficiencies in the supplies of men. We shall not, however, see much reason to reget the want of this hope, when we consider how little prospect there is, that the most delinquent States will ever be able to make compensation for their pecuniary failures. The system of quotas and requisitions, whether it be applied to men or money, is, in every view, a system of imbecility in the Union, and of inequality and injustice among the members.

Here are links to my other posts on The Federalist Papers so far:

• The Federalist Papers #1: Alexander Hamilton's Plea for Reasoned Debate

• The Federalist Papers #2 A: John Jay on the Idea of America

• The Federalist Papers #2 B: You Trusted the Continental Congress; Trust the Constitutional Convention

• The Federalist Papers #3: United, the 13 States are Less Likely to Stumble into War

• The Federalist Papers #4 A: The States Must Be Prepared to Defend against Aggression by Other Nations

• The Federalist Papers #4 B: National Defense Will Be Stronger if the States are United

• The Federalist Papers #5: Unless United, the States Will Be at Each Others' Throats

• The Federalist Papers #6 A: Alexander Hamilton on the Many Human Motives for War

• The Federalist Papers #6 B: Commercial Republics Also Start Wars with Their Neighbors—Alexander Hamilton

• The Federalist Papers #7 A: Divided, the States Would Fall into Territorial Disputes Likely to Lead to War Between the States—Alexander Hamilton

• The Federalist Papers #7 B: Without Union, Economic Disagreements Would Drive the States to Conflict with One Another—Alexander Hamilton

• The Federalist Papers #8: Without Union, the States Would Either Be Subject to Devastating Wars with Each Other or Would Have Liberty Endangered by their Own Standing Armies—Alexander Hamilton

• The Federalist Papers #9 A: There Has Been Technological Progress in Practical Principles of Republican Government—Alexander Hamilton

• The Federalist Papers #9 B: A Large Confederation May Be More Politically Stable Than a Small Nation—Alexander Hamilton Cites Montesquieu

• The Federalist Papers #10 A: Conflicts Arising from Differences of Opinion Are an Inevitable Accompaniment of Liberty—James Madison

• The Federalist Papers #10 B: The Larger the Republic, the Easier It is to Find Thoughtful Legislators and the Harder It is to Put Together a Majority to do Unjust Things—James Madison

• The Federalist Papers #11 A: United, the States Can Get a Better Trade Deal—Alexander Hamilton

• The Federalist Papers #11 B: Union Will Make Possible a Strong Navy, Allowing America to Chart Its Own Destiny—Alexander Hamilton

• The Federalist Papers #12: Union Makes it Much Easier to Get Tariff Revenue—Alexander Hamilton

• The Federalist Papers #13: Alexander Hamilton on Increasing Returns to Scale in National Government

• The Federalist Papers #14: A Republic Can Be Geographically Large—James Madison

• The Federalist Papers #15: A Government, to be Worthy of the Name, Must Govern Its Citizens, Not Just Its Subordinate Jurisdictions—Alexander Hamilton

• The Federalist Papers #16: Authority of the Federal Government Directly over Individuals Means States Can Only Thwart the Federal Government by Active and Obvious Resistance—Alexander Hamilton

• The Federalist Papers #17: Three Levels of Federal Power

• The Federalist Papers #18: Alexander Hamilton and James Madison Point to the Weakness of Confederations of Cities in Ancient Greece to Argue for a Strong Federal Government

• The Federalist Papers #19: The Weakness of the German Empire, Poland and Switzerland up to the 18th Century is Evidence for the Weakness of Confederations—Alexander Hamilton and James Madison

• The Federalist Papers #20: The Weakness of the United Netherlands up to the 18th Century is Evidence for the Weakness of Confederations—Alexander Hamilton and James Madison

• The Federalist Papers #21 A: Constitutions Need to be Enforced—Alexander Hamilton

• The Federalist Papers #21 B: Alexander Hamilton Complains of the Lack of a Measure Such as GDP Suitable for Apportioning Taxes to the States