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Derivative Valuation, Risk Management, Volatility Trading
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Zero-Sum Game: Definition Meaning Examples in Financial Market and Business Game Theory

1/30/2023

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Zero-sum is a concept often used in game theory, which states that one person’s gain is equivalent to another’s loss. In other words, the net change in wealth or benefit for all participants of the game remains zero.

Zero-sum games can have as little as two players or millions of participants and are commonly seen in financial markets such as options and futures trading where every participant's gains must be balanced by an equal amount of losses from others involved.

What is a Zero-Sum Game

A zero-sum game is a situation in which one person's gain is equal to another person's loss; the net change in wealth or benefit for all participants is zero. This term is often used when discussing game theory and other business or trading scenarios.

In order for a zero-sum game to exist, the total of all gains must be equal to the total of all losses. This is known as the zero-sum principle and it means that if one person gains, another must lose an equal amount.

In simple words, it can be said that in a zero-sum game, the gains of one player are matched exactly by the losses of another. The total amount won or lost is always zero.

How Zero-Sum Game Works

Zero-sum games are commonly seen in financial markets such as options and futures trading. In this case, the gains of one trader must be matched by equal losses from another trader.

It is important to remember that transaction costs and fees typically reduce the overall gain or loss made by each player involved. This means that a zero-sum game is often not truly zero-sum as there are costs associated with the transactions.

This means that in a zero-sum game, the total amount won or lost by all participants combined is always zero. Even when one person gains an advantage, there will be someone else who loses an equal amount.

Zero-sum games are often used in game theory and business scenarios as a way to analyze risk-reward ratios and make decisions on strategy. By understanding how a zero-sum game works, it is possible to make more informed decisions and maximize chances of success.

Example of Zero-Sum Games

Here's an example of a zero-sum game: two participants agree to a bet that involves flipping a coin. One player wins $1 if the coin lands on heads and the other player lose $1 if it lands on tails.

In this example, both players are taking an equal risk and the total amount of money (or benefit) in play is fixed at $1. If the coin lands on heads, then one player wins $1 and the other player loses $1; a net gain of zero.

The same thing can be said for a stock market scenario. If one trader buys a certain amount of shares and another trader sells the same amount of shares, then the net gain or loss for both traders is zero.

This example highlights how in a zero-sum game, one person’s gain must always be matched by an equal loss from another participant.

Conclusion

Zero-sum games are situations where one person's gain is equal to another person's loss. This means that the net change in wealth or benefit for all participants of the game remains zero. By understanding how a zero-sum game works, it is possible to make more informed decisions and maximize chances of success.

Originally Published Here: Zero-Sum Game: Definition, Meaning, Examples in Financial Market and Business, Game Theory



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