secure equilibrium

USAGE SUMMARY

The phrase "secure equilibrium" is correct and usable in written English.
It can be used in contexts discussing stability, balance, or safety in various fields such as economics, physics, or psychology. Example: "The goal of the negotiation was to achieve a secure equilibrium that would satisfy both parties involved."

✓ Grammatically correct

Academia

News & Media

Science

Human-verified examples from authoritative sources

Exact Expressions

4 human-written examples

Finally, we introduce a new notion of equilibrium, called secure equilibrium, in non-zero-sum games which captures the notion of conditional competitiveness.

University of California, Berkeley

We also show how the notion of secure equilibrium extends the assume-guarantee style of reasoning in the game theoretic framework.

University of California, Berkeley

We prove the existence of unique maximal secure equilibrium payoff profiles in turn-based deterministic games, and present algorithms to compute such payoff profiles.

University of California, Berkeley

We prove that in graph games with Borel winning conditions, which include the games that arise in verification, there may be several Nash equilibria, but there is always a unique maximal payoff profile of a secure equilibrium.

University of California, Berkeley

Human-verified similar examples from authoritative sources

Similar Expressions

56 human-written examples

We call this assume-guarantee synthesis and show that it can be solved by computing secure-equilibrium strategies.

University of California, Berkeley

Nor is there yet agreement about the scope of these policies or their ability to secure fundamental equilibrium in all cases.

Britannica

When your destruction is pending, securing an equilibrium in the confrontation will keep you in the game, and any change that happens is more likely than not to be in your favour.

WikiHow

Lady Ashton has other affairs to tend to -- and these make sense -- but when there is a chance of securing a new equilibrium in the Middle East, France on its own merits should be a core partner.

Huffington Post

We show that the one-alternation fragment of strategy logic, is strong enough to express Nash-equilibrium, secure-equilibria, as well as other logics that were introduced to reason about games, such as ATL, ATL*, and game-logic.

University of California, Berkeley

We say that a Nash equilibrium is secure if it is an equilibrium with respect to the lexicographic objectives of both players.

University of California, Berkeley

Do they evoke equilibrium, curiosity, good humor?

Vice

Expert writing Tips

Best practice

In technical writing, quantify "secure equilibrium" whenever possible. Using metrics or measurable parameters will enhance the term's precision and credibility.

Common error

Avoid using "secure equilibrium" to describe situations where the 'security' aspect is vague or undefined. Always specify what threats or disturbances the equilibrium is secured against to maintain clarity and relevance.

Linguistic Context

The phrase "secure equilibrium" functions as a noun phrase where the adjective 'secure' modifies 'equilibrium'. It describes a state of balance or stability that is protected or reinforced against potential disruptions. According to Ludwig AI, it often appears in technical or strategic contexts.

Expression frequency: Uncommon

Frequent in

Academia

40%

News & Media

30%

Science

30%

Less common in

Formal & Business

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "secure equilibrium" is a noun phrase denoting a protected state of balance, primarily used in academic, scientific, and news contexts. Ludwig AI confirms that it's grammatically correct and applicable in discussing stability and safety across various fields. While not very common, it effectively communicates the idea of a fortified balance, with alternatives like "stable balance" or "protected balance" available for nuanced expression. When employing this phrase, ensure the 'security' aspect is well-defined to avoid ambiguity and to enhance clarity. The phrase finds relevance in game theory, economics, and discussions of international relations where maintaining a protected equilibrium is critical.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

stable balance

Emphasizes the aspect of balance being firmly established and resistant to disruption.

firm stability

Highlights the strength and resilience of the equilibrium state.

protected balance

Focuses on the measures taken to safeguard the equilibrium from external threats or disturbances.

safe stability

Combines the concepts of security and stability, suggesting a state that is both secure and unchanging.

guarded equilibrium

Implies that the equilibrium is being actively monitored and defended against potential disruptions.

certain stability

Indicates a high degree of confidence in the persistence of the equilibrium state.

assured balance

Suggests that the equilibrium is guaranteed and unlikely to be compromised.

defended equilibrium

Highlights the active defense and maintenance of the equilibrium state against challenges.

fortified stability

Implies that the equilibrium has been strengthened and reinforced to withstand external pressures.

maintained balance

Focuses on the ongoing effort required to keep the equilibrium in its current state.

FAQs

How can I use "secure equilibrium" in a sentence?

You can use "secure equilibrium" to describe a state of balance that is protected or stable against external threats, such as "The negotiation aimed to establish a "secure equilibrium" in the region." The concept is typically used in economics, game theory, or physics.

What's the difference between "secure equilibrium" and "Nash equilibrium"?

"Nash equilibrium" is a specific concept in game theory describing a stable state where no player can benefit from unilaterally changing their strategy. "Secure equilibrium", as shown by Ludwig, extends this concept by adding conditions of conditional competitiveness and maximal payoff profiles, often in the context of turn-based deterministic games.

Are there alternatives to the phrase "secure equilibrium"?

Yes, depending on the context, you can use phrases like "stable balance", "firm stability", or "protected balance". The best choice will depend on whether you want to emphasize the security, stability, or balance aspect of the situation.

In what fields is the concept of "secure equilibrium" most relevant?

The concept is particularly relevant in game theory, economics, political science, and physics where maintaining a stable, protected state is critical. It is also used, as the examples show, in discussions of international relations and security strategy.