MAXIMIN | = | MINIMAX

John Nash and the Maximin–Minimax Framework in Digital Privacy

John Nash's work on game theory provides a useful analytical framework for understanding situations in which different actors make decisions while anticipating the decisions of others.

In digital privacy, the relevant actors may include:

• Individuals — seeking protection of personal information.
• Technology companies — seeking to provide services while processing data.
• Governments — seeking legitimate public objectives, including law enforcement and national security.
• Foreign governments — potentially requesting or accessing data across borders.
• Unauthorized actors — seeking to exploit information.

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MAXIMIN

Maximin means: maximize the minimum possible outcome.

Strategic Question:
"Among the worst outcomes that could result from each available strategy, which strategy gives me the best minimum outcome?"

Applied to digital privacy:

MAXIMIZE THE MINIMUM LEVEL OF PRIVACY PROTECTION

For example, an organization may design its data system so that even if a breach, unauthorized access, or misuse occurs, the amount of exposed personal information is minimized.

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MINIMAX

Minimax means: minimize the maximum possible loss.

Strategic Question:
"Which strategy limits my worst possible loss?"

Applied to digital privacy:

MINIMIZE THE MAXIMUM PRIVACY HARM

For example, instead of collecting every piece of available information, a system may restrict collection to information genuinely necessary for a legitimate purpose.

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Privacy as a Strategic Game

PERSONAL DATA

↓

Collection

↓

Processing

↓

Storage

↓

Disclosure / Transfer

↓

Potential Privacy Risk

Different Actors, Different Objectives

Actor	Possible Objective
Individual	Maximize privacy and personal autonomy.
Company	Provide services while managing legal and operational risk.
Government	Achieve legitimate public objectives while respecting rights.
Foreign Authority	Obtain information through lawful international mechanisms.
Unauthorized Actor	Obtain or exploit information.

Nash Equilibrium

The concept most directly associated with John Nash is the Nash equilibrium.

A Nash equilibrium occurs when, given the strategies chosen by the other participants, no participant can improve their outcome by unilaterally changing their own strategy.

Maximin → Minimax → Nash

MAXIMIN
Protect the
WORST ACCEPTABLE OUTCOME

→

MINIMAX
Limit the
WORST POSSIBLE LOSS

→

NASH EQUILIBRIUM
Analyze
STRATEGIC STABILITY

Connection to International Law

This becomes particularly relevant when digital information crosses borders.

Country A → requests digital information

Country B → hosts the data

Technology Company → controls the database

Individual → is the subject of the personal information

The legal problem is therefore not simply:

"WHO HAS THE DATA?"

It also becomes:

"HOW SHOULD COMPETING INTERESTS BE STRATEGICALLY BALANCED WHILE PRESERVING LEGALLY PROTECTED RIGHTS?"

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International Law + Game Theory

INTERNATIONAL LAW = establishes rights, duties, limitations, and safeguards

GAME THEORY = analyzes strategic interaction

MAXIMIN = emphasizes protection of the worst-case minimum outcome

MINIMAX = emphasizes limiting the worst-case maximum loss

NASH EQUILIBRIUM = analyzes strategic stability

Important Legal Distinction

Maximin, Minimax, and Nash equilibrium are analytical concepts, not international legal rules themselves.

They can help explain or model privacy-policy decisions and strategic interactions, but the legality of an actual government measure or corporate practice must ultimately be assessed under the applicable legal framework.

DIGITAL PRIVACY
+ STRATEGIC INTERACTION
+ MAXIMIN / MINIMAX ANALYSIS
+ NASH EQUILIBRIUM
+ INTERNATIONAL LEGAL SAFEGUARDS