What is zero-Sum game?

A situation in which one party's gain is exactly matched by another's loss, so the total stays fixed.

Zero-Sum game diagram example

Public diagram from the Machinations Community. Open it on its own page

A zero-sum situation is one where the total amount available is fixed, so anything one side gains comes directly from another. The gains and losses add up to zero. It matters because it tells you whether cooperation can create value or whether the parties are only dividing a set amount.

How it works

Pure zero-sum cases are rare. Betting between two people is one, and so is a fixed pie split between claimants. Most economic exchange is positive-sum, because trade benefits both sides, and some is negative-sum, because conflict wastes resources.

Seeing a situation as zero-sum changes behavior. Parties compete harder over their share, and they can miss chances to grow the total. Checking whether the total is really fixed is an important step before choosing a strategy. The practical value of the idea is as a test. When a negotiation or a market is described as zero-sum, ask what could grow the total, such as new supply or a shared standard, because that is where both sides can improve at once.

Example

Say two firms compete for a fixed market of 1,000 customers. If Firm A wins 100 customers from Firm B, A gains 100 and B loses 100, and the total is unchanged. Compare a case where the two firms agree on a standard that lets the market grow to 1,300 customers. Both can gain, and the situation is positive-sum. Illustrative numbers only.

In a game economy, a player-versus-player auction for a single scarce item is zero-sum, while a farming system that creates new currency for everyone is not.

How to model it in Machinations

Use a single Pool of fixed total size and Trader or connections that move resources between two parties without any Source or Drain. Chart both parties' Pools and confirm that they always add up to the same total. Then add a Source to see how growth changes the picture.

See zero-Sum game in a system you can Play

Build the rules in a Machinations diagram, change a value and Play it to watch how the system responds.