Comprehensive Study Notes on the Bargaining Model of War and Alternative Conflict Theories

Country of the Day: Saint Lucia

  • Standing for the king in specific historical/diplomatic contexts.

  • Interesting Fact 1: Nobel Prize Rates

    • Saint Lucia has the world's second-highest rate of Nobel Prize winners per capita.
    • The country has two Nobel laureates:
    • Economics: 19791979
    • Literature: 19921992
    • The highest number of Nobel laureates per capita in the world belongs to the Faroe Islands (part of the Kingdom Of Denmark), which won a Nobel Prize in medicine in 19031903.
    • Although Saint Lucia only has two laureates in total, its small population size elevates its per capita ranking to second globally.

  • Interesting Fact 2: Naming

    • Saint Lucia is the only country in the world named after a female historical figure.
    • It was named after Saint Lucius Syracuse (Saint Lucie), a Christian martyr killed during Diocletian's persecution of Christians in the early fourth century.

The Bargaining Model of War

  • Definition of the Bargaining Model:

    • Bargaining is conceptualized as a zero-sum game involving two or more states with competing preferences over scarce resources.
    • Taking a specific resource or configuration of resources means the opposing state cannot have it.
    • Redistributive nature: Bargaining occurs over resource redistribution rather than distribution of infinite resources. Any concession made to one actor directly detracts from the other actor (AA gains what BB loses).

  • Core Theoretical Assumption:

    • Whatever outcome actors achieve through peaceful bargaining is theorized to exceed what they could achieve through war.
    • War is inherently costly: the physical and financial costs of fighting decrease the total net value of the disputed asset.
    • Cost of war includes unproductive spending, destruction of infrastructure, bloodshed, and loss of life.
    • Because war destroys value, a bargaining range (a set/portion of peaceful agreements) exists where both states receive an outcome strictly better than their expected value of fighting.

  • Assumptions Regarding War:

    • War is not a consumption good: States do not derive intrinsic enjoyment or benefit from fighting, killing, or ancient hatreds.
    • War is instrumental: Force is used deliberately as a tool to advance specific political goals and secure desired outcomes.
    • Historical theoretical quotes:
    • Thomas Sheldon (Nobel Prize-winning economist): Defined war as a form of "vicious diplomacy."
    • Karl Malposis (Prussian general): Characterized war as "politics by other means."

  • Rationales for Bargaining Failure (Why War Occurs):

    • Private Information and Incentives to Misrepresent:
    • States possess private information regarding their military capability and resolve.
    • Actors face strategic incentives to lie or exaggerate their strength and resolve to gain bargaining leverage.
    • Bluffing prevents adversaries from accurately identifying the true bargaining window.
    • Example of Resolve: Napoleon Bonaparte stated to his enemies that he spent 30,00030{,}000 lives a month (30,00030{,}000 soldiers dying monthly). This statement demonstrated extreme resolve and insensitivity to losses, signaling that threats would not force a retreat. A modern U.S. President making a claim of sacrificing 30,00030{,}000 lives a month would lack credibility without tangible proof.
    • Commitment Problems:
    • Both states may accurately identify the bargaining window, but neither can trust the other to abide by the agreement over time.
    • An actor cannot credibly commit to refraining from exploiting future strategic advantages.
    • Example (Rebel Groups): A rebel group laying down its arms in exchange for peace risks being arrested or eliminated by the state once disarmed.
    • Example (Bill and Joe Scenario): Joe accepts a $100,000 settlement to leave Bill alone. Bill cannot accept this agreement because he cannot guarantee Joe will not return later demanding an additional $10,000 or $50,000.
    • Indivisibility:
    • Occurs when a disputed asset cannot be physically divided or shared (a "chunky good").
    • Indivisibility is functionally a commitment problem. While domestic legal systems can enforce time-sharing arrangements (e.g., child custody split evenly rather than splitting a baby in half), the international system lacks the hierarchical structure, infrastructure, and central authority required to enforce such temporal deals.

Limited War vs. Absolute War

  • Distinctions made by Colonel Hussmann (Prussian general):
    • Real War (Limited War):
    • War fought for limited political objectives and specific terms of agreement.
    • Force is used as a mechanism to circumvent bargaining hurdles.
    • Bargaining opportunities exist because there are specific concessions short of total destruction that will satisfy the aggressor.
    • Example: The contemporary Russia-Ukraine war, where Russia seeks specific territorial acquisitions.
    • Absolute War:
    • A war of total extermination; extremely rare in international history.
    • No bargaining opportunity exists because no concession short of absolute destruction will satisfy the attacker.
    • Example: The Third Punic War between the Roman Republic and Carthage.
      • First Punic War: Fought over control of Sicily, establishing Roman dominance on the island.
      • Second Punic War: Hannibal crossed the Alps with war elephants and campaigned across the Italian peninsula for approximately ten years until Scipio invaded Northern Africa and defeated Hannibal at the Battle of Zama, establishing Rome as the dominant Mediterranean power.
      • Third Punic War: Cato the Elder (Roman Senator) concluded every speech in the Senate—regardless of whether the topic was troop levies, trade, or city sewage systems—with the phrase: "And furthermore, I move that Carthage must be destroyed." Rome deliberately goaded Carthage with absurd, escalating demands. When Carthage refused, Rome invaded and completely annihilated the city. Rome sought no concessions, land deals, or terms; the objective was absolute elimination.

Functions of War in Resolving Bargaining Problems

  • Revealing Private Information:

    • Verbal statements and diplomatic declarations can be manipulated, whereas battlefield outcomes cannot be easily faked.
    • Fighting reveals true military capabilities, troop morale, tactical effectiveness, and real threshold of resolve (e.g., whether a military retreats after taking 30%30\% casualties).
    • Combat forces the revelation of facts, clarifying the exact probability of victory (pp) and allowing states to locate the true bargaining range.

  • Overcoming Commitment Problems:

    • War forcibly reallocates physical assets and territory.
    • Capturing and holding strategic territory directly eliminates the adversary's capacity to use that leverage in future bargaining, resolving the underlying commitment issue through physical control.

Empirical Implications of the Bargaining Model

  • Power Parity and Conflict Likelihood:

    • War is significantly more likely between states of similar capabilities (power parity).
    • Mechanism: When capabilities are asymmetric (e.g., a 90%90\% vs. 10%10\% balance of power), the likely winner is obvious. When states are evenly matched (e.g., a 50/5050/50 balance), both sides rationally believe they can win.
    • Role of Stochastic (Random) Factors: In parity conditions, small random variables (weather, disease, minor morale shifts) disproportionately alter outcomes.
    • Example: If a state with 500500 tanks loses 20%20\% (100100 tanks) to mechanical failure against a state with 44 tanks, it retains decisive military superiority. If two states each have 5050 tanks and one loses 20%20\% (1010 tanks), the power balance shifts drastically. Relative noise obscures signals when states are equal in strength.

  • Shifts in Power:

    • Rapid shifts in the balance of power increase the likelihood of war.
    • Preventative War: A currently stronger power attacks a rising weaker power today to prevent it from growing stronger tomorrow and demanding revisionist terms.
    • Preemptive War: An attack launched in response to an imminent offensive threat or first-strike advantage.

  • Recurrence of War:

    • The theoretical bargaining model implies that wars should NOT recur.
    • Reason 1 (Magnified Costs): War destroys productive human capital (young adults) and financial assets, dramatically increasing relative future costs and expanding the potential bargaining space.
    • Reason 2 (Clarified Information): Combat eliminates private information by revealing real capabilities and resolve, establishing clear expectations for future bargaining.

  • Credibility and Bargaining:

    • States with high credibility and trustworthiness can make durable agreements without resorting to force, decreasing war probability.

Empirical Evaluation and Anomalies

  • Empirical Support for the Model:

    • Similar power capabilities increase conflict probability.
    • Post-war balance-of-power shifts directly impact the probability of war recurrence.
    • Anticipated conflict costs dictate initial diplomatic demands.
    • Peace settlement terms closely track victory probability estimates from combat.
    • Highly intense, costly wars are followed by longer periods of sustained peace.

  • Empirical Anomalies and Challenges:

    • Duration Independence:
    • Empirical data shows war is not duration-dependent; a war that has lasted five years is no more likely to end tomorrow than a war that has lasted one year (all else equal).
    • Anomaly logic: If war's main function is revealing information, information should continuously accumulate over time, increasing the likelihood of peace as time passes.
    • Explanation: Wars may begin due to information asymmetry but continue due to commitment problems generated during fighting (e.g., severe loss of trust caused by combat).
    • High Recurrence Rates:
    • Empirically, states often re-enter conflict after peace agreements, suggesting war fails to resolve underlying bargaining failures.
    • Measurement and Data Collection Difficulties:
    • Resolve is subjective and context-dependent: Loss of 30,00030{,}000 soldiers meant something completely different to Napoleon than it does to a U.S. President in 20262026.
    • Diplomatic offers are private: Secret bargaining offers are rarely observed; post-hoc memoirs written 2020 years later are biased and self-serving.
    • Battlefield data quality: Historical reporting is inconsistent and politically distorted. Example: In the Vietnam War, U.S. military after-action reports incentivized soldiers to inflate enemy body counts. While the Tet Offensive was a strategic military victory for U.S. and South Vietnamese forces, it inverted public perception in the United States, illustrating the difficulty of measuring objective empirical data.

Alternative Models of International Conflict

  • Deterrence Model:

    • Relaxes the single-period (one-shot) assumption of the standard bargaining model.
    • Models interactions between a Challenger and a Defender over repeated periods.
    • Signaling to Third Parties: A Defender may choose to fight over an asset today—even if a peaceful bargaining range exists for that specific asset—to signal resolve to third-party observers.
    • Domestic Application: Governments fight individual rebel groups even when peaceful concessions are possible, preventing other potential domestic groups from forming and demanding concessions.

  • The Spiral Model:

    • Rooted in neorealism and systemic anarchy: States must provide for their own security by acquiring power.
    • Security Dilemma: Actions taken by State A to maximize its own security diminish the security of State B, driving State B to acquire power, creating an escalating armaments spiral.
    • Defensive Weapons Problem: Purely defensive technologies (e.g., anti-ballistic missile defense shields) increase offensive power. A state with an impenetrable shield can launch offensive attacks with impunity without fearing retaliation.
    • Pathways to War in the Spiral Model:
    • Rational Explanation: Escalation increases the likelihood of a Preemptive War scenario due to perceived first-strike advantages.
    • Non-Rational Explanation (Fundamental Attribution Error): Actors attribute their own military buildup to external systemic necessity (defensive motivations), but attribute an adversary's military buildup to their hostile, aggressive nature (offensive motivations). Example: A driver forced to park over the line in a parking lot views their own action as situational, but views another driver parked over the line as a bad person/driver.

  • Bureaucratic Politics Model:

    • Rejects the unitary rational actor assumption ("billiard ball model"). Conceptualizes the state as an amalgam of competing agencies, organizations, and political actors.
    • Information Stovepiping: Prior to September 11 (9/119/11), 1818 separate U.S. intelligence agencies maintained isolated informational fiefdoms, hiding data from rival agencies to protect institutional status and preventing a complete intelligence picture from being assembled.
    • Interpretation Bias: Bureaucratic actors interpret intelligence to advance institutional budgets and mandates (e.g., military vs. diplomatic corps).
    • Military Entrepreneurship: Armed forces field experimental tactics and technology during conflict, creating noise that obscures clear signal revelation during combat.

  • Regime Type and Domestic Politics:

    • Audience Costs: Democratic leaders face high political punishment from the electorate if they make public threats and subsequently back down. Public declarations act as credible commitment devices.
    • Casualty Sensitivity: Democracies experience severe domestic political costs for military casualties, shaping bargaining ranges.
    • Non-Democratic Asymmetry: Autocratic leaders capture the spoils of war while shifting physical/financial costs onto the populace (e.g., Vladimir Putin in Russia), altering incentive structures.
    • Diversionary War: Leaders facing domestic unpopularity or imminent removal initiate international conflicts to rally public support through short-term external crisis management.

  • Constructivism:

    • Anti-rationalist, social approach: Asserts that state goals, interests, and threats are socially constructed.
    • Consumption Value of War: Nations constructing their social identity as a "warrior nation" derive intrinsic cultural value from the act of fighting itself, independent of material political goals.
    • Social Construction of Indivisibility: Physically divisible goods (e.g., sacred territorial sites) are constructed as indivisible within a culture, rendering compromise socially unacceptable.