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by eric-hu 5435 days ago
Interesting simulation. The braided behavior sounds like the 'equilibrium behavior' I mentioned earlier. Does this simulation also allow for taking another player's exact location, forcing a split of their market share on both sides? I imagine that's a subtle but game-changing move.

For the higher vendor numbers (3+), did you notice similar behavior when the vendor parity was the same (i.e. all even or all odd)?

1 comments

No, it doesn't allow two vendors to be in the exact same spot. The amount of trade that gets you is always exactly half-way between being just to the left and being just to the right, and can therefore only be the best option when all three of those are exactly equal, so I don't think it makes much difference.

I wondered whether parity would be a big deal, but -- purely qualitatively and by eye -- it doesn't seem like it is.

Very interesting observation.

In the 2 player case, not allowing for parity means that equilibrium would never be reached. The simulation as you programmed it would approach equilibrium as time goes to infinity, though, so I guess your model works about as well as one with parity, and is simpler. Nice.