Bonini’s paradox

In 2002, KP Burnham and DR Anderson in their book on statistical model selection, they stated, “A model is a simplification or approximation of reality and hence will not reflect all of reality.”

As Paul Valéry expressed it, “Everything simple is false, everything complex is unusable.”

People want things explained to them in simple terms, but however you explain it, some of the truth will be missing, or distorted, or not explained in its most accurate way, and therefore false.

If things are too complex, it is unusable as most people wont understand it.

In simple terms the Bonini’s Paradox states that the more complete a complex system model is outlined, the less understandable it becomes.

Named after Italian mathematician and computer scientist Roberto Bonini, it is a concept that arises in the field of decision theory and rational decision-making. This paradox highlights the tension between two important principles:

Completeness: In decision theory, completeness is the idea that a rational decision-maker should be able to rank all possible alternatives or outcomes of a decision. This means that if you have a set of options to choose from, you should be able to assign a preference or ranking to each option, indicating which one is the best, the second best, and so on. This is a fundamental assumption in classical economic models of decision-making.

Bounded Rationality: Bounded rationality is the concept that in real-world decision-making, individuals often have limited cognitive resources, time, and information. As a result, they may not be able to thoroughly evaluate and rank all possible alternatives in a complex decision. Instead, they use heuristics and simplifications to make decisions, which can lead to satisficing (choosing a “good enough” option) rather than optimizing (choosing the absolute best option).

The paradox arises from the tension between these two principles. On one hand, decision theory suggests that a rational decision-maker should always be able to rank all possible alternatives. On the other hand, in practice, individuals often use bounded rationality to simplify their decision-making process, leading to satisficing rather than optimizing.

In other words, Bonini’s Paradox highlights the difficulty of applying the ideal of completeness (as described by decision theory) to real-world decision-making, where bounded rationality constraints often prevent individuals from ranking all alternatives exhaustively.

This paradox is important in fields like behavioral economics and psychology because it underscores the limitations of traditional economic models and the need to consider the cognitive and information constraints that people face when making decisions. It’s a reminder that decision-making is often a complex and imperfect process influenced by various factors beyond pure rationality.