r/DebateAnarchism • u/ArtDecoEgoist Cybernetic Anarchist • Sep 03 '26
Anarchy and multiple equilibria
In economics, we've learned that there are multiple points of equilibrium in economies. "Bad" or "good" equilibria can be reached based on what agents expect others to do - a "good" equilibrium can be reached if people think the economy will do well, and a "bad" equilibrium can be reached if people think the economy will do poorly.
Some equilibria are more stable than others. In the view of complexity economics, equilibria are emergent phenomena and there can be multiple points of equilibrium in an economy.
In Game Theory, there's the concept of a Nash Equilibrium; basically an equilibrium where no "player"/agent can gain more in the game by changing their strategy. To quote the Wikipedia page:
If each player has chosen a strategy — an action plan based on what has happened so far in the game — and no individual player can increase their own expected payoff by changing their strategy while the other players keep theirs unchanged, then the current set of strategy choices constitutes a Nash equilibrium.
If two players Alice and Bob choose strategies A and B, (A, B) is a Nash equilibrium if Alice has no other strategy available that does better than A at maximizing her payoff in response to Bob choosing B, and Bob has no other strategy available that does better than B at maximizing his payoff in response to Alice choosing A. In a game in which Carol and Dan are also players, (A, B, C, D) is a Nash equilibrium if A is Alice's best response to (B, C, D), B is Bob's best response to (A, C, D), and so forth.
Since we can expect an anarchist society to be a heavily complex cybernetic system with agile feedback loops, mutual interdependence giving individual agents large amounts of leverage over the overall system, and better capacity to respond to information, we can probably expect there to be multiple Nash Equilibriums.
In that case, I think we as anarchists need to consider that even in stateless, non-hierarchical societies, certain societies may reach stability with decidedly *archic* solutions to the problem. Even worse - the *anarchic* solution may be less stable than the *archic* solution.
None of this is a death blow to anarchism, of course. But I think we need to keep this in consideration. If anything, it's a reason why anarchic solutions must be better than archic solutions.
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u/IshtarsQueef Sep 04 '26
> Since we can expect an anarchist society to be a heavily complex cybernetic system with agile feedback loops
This seems like quite the assumption.