davidrpugh / population-ecology-approach

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Various signaling probs with almost random screening #26

Closed davidrpugh closed 9 years ago

davidrpugh commented 9 years ago

Case where IPD condition is not satisfied:

In the plots below, I use the following payoff matrix:

payoffs = {'PiaA': 9.0, 'PiAA': 5.0, 'Piaa': 3.0, 'PiAa': 2.0}

Note the for this payoff matrix the iterated prisoner's dilemma (IPD) condition (i.e., 2 * PiAA > PiaA + PiAa is not satisfied.

Sweep of signaling probabilities

Case where IPD condition is satisfied:

In the plots below, I use the following payoff matrix:

payoffs = {'PiaA': 7.0, 'PiAA': 5.0, 'Piaa': 3.0, 'PiAa': 2.0}

Note the for this payoff matrix the iterated prisoner's dilemma (IPD) condition (i.e., 2 * PiAA > PiaA + PiAa is satisfied. As posited by @markeschaffer, imposing the IPD condition seems to eliminate the stable/balanced polymorphism (i.e., interior equilibria).

Sweep of signaling probabilities

@markeschaffer , @PaulSeabright your thoughts?

davidrpugh commented 9 years ago

These graphics are no longer relevant.