Sir Philip Sidney game · costly signalling · the handicap principle

Cryingwolf

Someone can ask you for something they may or may not need. You would give it to them if the need were real, and not otherwise. They would rather have it either way. So what could possibly stop them asking every time, and what would asking then tell you?

The rules

The problem that cheap talk cannot solve

Elsewhere on this site, Wordless shows meaning appearing out of nothing. It works because sender and receiver want exactly the same thing: for the message to get through. Remove that and the whole account stops working.

Here the signaller always benefits from the resource, and more so when genuinely in need. If asking were free, everyone would ask always, hearing the request would tell the donor nothing, and no donor would act on it. A costless signal in the presence of conflicting interests is not a weak signal. It is not a signal.

Zahavi's handicap principle proposed the escape: make asking expensive. Maynard Smith (1991) wrote this game to test it, and named it for the poet who, dying of his wounds, is said to have passed his water to a soldier with the words “thy necessity is yet greater than mine”.

Start from
Generation
0
not started
Signal carries
—
of the truth about need
Donors listening
—
act only on a signal
Reached the needy
—
What the signal has to cost
Both populations
Over time drag or arrow keys to replay
How much the signal reveals Donors who act on it
The strategies
Across many populations
Things worth trying

Four runs that each show something

Press Asking is free
Everything goes silent. Not because anyone decided to stop talking, but in this order: the comfortable ask too, so asking stops predicting need, so donors stop listening, so asking stops being worth the breath.
Press Inside the window
Honest signalling, essentially every run. Nobody is being truthful. The signal simply costs more than the resource is worth to anyone who does not need it.
Press Just below it
The interesting one. At a cost the handicap principle says is far too low, most populations settle into a stable mixture: some of the comfortable ask, some donors ignore it, and it holds. Partial honesty is not a stage on the way to honesty. It is where the population stops.
Press Far above it
Silence again. Costlier is not more honest past the point where someone in genuine need can still afford to ask.
Push shared interest to 0.9
Communication becomes pointless from the other direction. When the donor cares about the signaller almost as much as itself, it gives regardless, and there is nothing left to signal about.
Set the benefit to a comfortable signaller to zero
The whole problem disappears. With no conflict of interest, a free signal is perfectly honest and this page has nothing to say.
The argument

Why anyone cares

This is the objection that has to be answered before any evolutionary account of meaning can be believed, and answering it turns out to be harder than the standard story admits.

Why cheap talk is not enough

Skyrms's account of meaning, which Wordless models, works because the sender and receiver want the same outcome. Nothing there is tempted to lie, because lying gains nothing. That is a real result, and it is also a special case. Most communication that matters happens between parties whose interests only partly overlap.

Once they diverge, cheap signals unravel. Anyone can send them, so everyone does, so they carry no information, so nobody attends to them. That reasoning is short and it is why the handicap principle was taken so seriously.

Zahavi's answer, and the shape of it

Make the signal expensive. If it costs more than the resource is worth to someone who is fine, only the genuinely needy will pay, and the cost itself does the work that honesty cannot. The peacock's tail, the stotting antelope, the expensive engagement ring: all of them, on this account, are honest precisely because they are wasteful.

Nobody in this model is truthful. The signal is reliable because lying is not worth what it costs.

Two problems the model makes visible

The first is a ceiling. A signal can be too expensive: past the point where someone in real need still gains by sending it, nobody sends anything and communication dies from the other end. Honesty lives in a window, not on a slope, and “costlier is more honest” is simply wrong as a summary.

The second is worse for the principle. Huttegger and Zollman showed that stable partly-honest states exist at signalling costs far below what the principle requires, and that states of no communication are stable too and often more likely to be reached than the costly honest equilibrium. Both of those show up in the runs above. What the model delivers is not “cost makes honesty” but something messier: cost makes honesty possible within a range, and even inside it a population may end up somewhere else entirely.

What this model is not

There are two conditions here, only one signal, and no possibility of a signaller who is sometimes truthful and sometimes not by choice. Relatedness stands in for every kind of shared interest, which flattens kinship, friendship, and repeated dealing into one number. And nothing here can lie strategically, because nothing here can represent anything at all.

References

Sources

  1. Bergstrom, C. T., & Lachmann, M. (1997). Signalling among relatives I: Is costly signalling too costly? Philosophical Transactions of the Royal Society B, 352(1353), 609–617.
  2. Grafen, A. (1990). Biological signals as handicaps. Journal of Theoretical Biology, 144(4), 517–546.
  3. Huttegger, S. M., & Zollman, K. J. S. (2010). Dynamic stability and basins of attraction in the Sir Philip Sidney game. Proceedings of the Royal Society B, 277(1689), 1915–1922.
  4. Maynard Smith, J. (1991). Honest signalling: The Philip Sidney game. Animal Behaviour, 42(6), 1034–1035.
  5. Skyrms, B. (2010). Signals: Evolution, learning, and information. Oxford University Press.
  6. Spence, M. (1973). Job market signaling. The Quarterly Journal of Economics, 87(3), 355–374.
  7. Zahavi, A. (1975). Mate selection: A selection for a handicap. Journal of Theoretical Biology, 53(1), 205–214.
  8. Zollman, K. J. S., Bergstrom, C. T., & Huttegger, S. M. (2013). Between cheap and costly signals: The evolution of partially honest communication. Proceedings of the Royal Society B, 280(1750), 20121878.