A Generalized War of Attrition¶
Bishop, D. T., & Cannings, C. (1978). A Generalized War of Attrition. Journal of Theoretical Biology, 70(1), 85-124.
Cited by¶
2 citations across 2 artifacts.
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Primes¶
- Evolutionarily Stable Strategy
- The Bishop–Cannings uniqueness lemma further constrains which population mixes are stable.
This sourceProves the Bishop–Cannings theorem constraining the payoff structure of mixed ESSs, characterizing which population mixtures are stable.
- The Bishop–Cannings uniqueness lemma further constrains which population mixes are stable.
- War Of Attrition
- Recognizing the pattern enables equilibrium reasoning about the duration distribution: the symmetric mixed-strategy solution predicts heavy tails, so most contests resolve quickly but a non-negligible fraction extend far beyond naive expectation — which is the equilibrium's prediction, not a deviation from it.
This sourceDerives the symmetric mixed-strategy solution with exponential survival function, heavy-tailed durations, and full dissipation of the prize (zero expected surplus).
- Recognizing the pattern enables equilibrium reasoning about the duration distribution: the symmetric mixed-strategy solution predicts heavy tails, so most contests resolve quickly but a non-negligible fraction extend far beyond naive expectation — which is the equilibrium's prediction, not a deviation from it.
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