Dilemma of the equality: An all-pay contest with individual differences in resource holding potential

Journal of Theoretical Biology

Volumn 198, Issue 3, 1999, Pages 395-404

  Kura, Takuya ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; COMPETITION; EVOLUTION; POPULATION DYNAMICS; PRIORITY JOURNAL;

EID: 0033532667     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1006/jtbi.1999.0918     Document Type: Article

References (41)

1. Alexander, R. D. (1974). The evolution of social behavior. Annu. Rev. Ecol. Syst. 4, 325-383.
2. Asencot, M. & Lensky, Y. (1984). Juvenile hormone induction of "queenliness" on female honey bee (Apis mellifera L.) larvae reared on worker jelly and on stored royal jelly. Comp. Biochem. Physiol. 78B, 109-117.
3. Asencot, M. & Lensky, Y. (1985). The phagostimulatory effect of sugars on the induction of "queenliness" in female honeybee (Apis mellifera L.) larvae. Comp. Biochem. Physiol. 81A, 203-208.
4. Aumann, R. J., Katznelson, Y., Radner, R., Rosenthal, R. W. & Weiss, B. (1983). Approximate purification of mixed strategies. Math. Oper. Res. 8, 327-341.
5. Baye, M. R., Kovenock, D. & de Vries, C. G. (1993). Rigging the lobbying process: An application of the all-pay auction. Amer. Econ. Rev. 83, 289-294.
6. Baye, M. R., Kovenock, D. & de Vries, C. G. (1996). The all-pay auction with complete information. Econ. Theory 8, 291-305.
7. Bishop, D. T. & Cannings, C. (1978). A generalized war of attrition. J. Theor. Biol. 70, 85-124.
8. Blackwell, P. G. (1997). The n-player war of attrition and territorial groups. J. Theor. Biol. 189, 175-181.
9. Bourke, A. F. G. & Franks, N. R. (1995). Social Evolution in Ants. Princeton, N.J.: Princeton University Press.
10. Crozier, R. H. & Pamilo, P. (1996). Evolution of Social Insect Colonies: Sex Allocation and Kin Selection. Oxford: Oxford University Press.
11. Fudenberg, D. & Tirole, J. (1991). Game Theory. Cambridge, MA: MIT Press.
12. Gadagkar, R. (1990). Origin and evolution of eusociality: A perspective from studying primitively eusocial wasps. J. Genet. 69, 113-125.
13. Grafen, A. (1990a). Sexual selection unhandicapped by the Fisher process. J. Theor. Biol. 144, 473-516.
14. Grafen, A. (1990b). Biological signals as handicaps. J. Theor. Biol. 144, 517-546.
15. Haigh, J. & Rose, M. R. (1980). Evolutionary game auctions. J. Theor. Biol. 85, 381-397.
16. Hamilton, W. D. & Zuk, M. (1982). Heritable true fitness and bright birds: A role for parasites? Science 218, 384-387.
17. Harsanyi, J. C. (1973). Games with randomly disturbed payoff: A new rationale for mixed-strategy equilibrium points. Int. J. Game Theory 2, 1-23.
18. Hölldobler, B. & Wilson, E. O. (1990). The Ants. Cambridge, MA: Belknap Press of Harvard Univ. Press.
19. John, J. L. (1995). Haematozoan parasites, mating systems and colourful plumages in songbirds. Oikos 72, 395-401.
20. Johnston, R. A. (1994). Honest signalling, perceptual error and the evolution of 'all-or-nothing' displays. Proc. R. Soc. Lond. B 256, 169-175.
21. Johnstone, R. A. & Grafen, A. (1992). The continuous Sir Philip Sidney game: A simple model of biological signalling. J. Theor. Biol. 156, 215-234.
22. Krishna, V. & Morgan, J. (1997). An analysis of the war of attrition and the all-pay auction. J. Econ. Theo. 72, 343-362.
23. Kura, T. & Kura, K. (1998). War of attrition with individual differences on RHP. J. Theor. Biol. 193, 335-344.
24. Kura, T., Kura, K. & Shichijo, T. (1997). The law of payoff consistency: Games with continuous differences on resource values. J. Ethol. 15, 95-101.
25. Maynard Smith, J. (1974). The theory of games and the evolution of animal conflicts. J. Theor. Biol. 47, 209-221.
26. Maynard Smith, J. & Brown, R. L. W. (1986). Competition and body size. Theor. Pop. Biol. 30, 66-179.
27. Mesterton-Gibbons, M., Marden, J. H. & Dugatkin, L. A. (1996). On wars of attrition without assessment. J. Theor. Biol. 181, 65-83.
28. Milgrom, P. & Weber, R. J. (1982). A theory of auctions and competitive bidding. Econometrica 50, 1089-1122.
29. Nakata, K. & Tsuji, K. (1996). The effect of colony size on conflict over male-production between gamerate and dominant workers in the ponerine ant Diacamma sp. Ethol. Ecol. Evol. 8, 147-156.
30. Norman, R. F., Taylor, P. D. & Robertson, R. J. (1977). Stable equilibrium strategies and penalty functions in a game of attrition. J. Theor. Biol. 65, 571-578.
31. Oechssler, J. (1997). An evolutionary interpretation of mixed-strategy equilibria. Game. Econ. Behav. 21, 203-237.
32. Osborne, M. J. & Rubinstein, A. (1994). A Course in Game Theory. Cambridge, MA: MIT Press.
33. Parker, G. A. (1979). Sexual selection and sexual conflict. In: Sexual Selection and Reproductive Competition in Insects (Blum, M. S. & Blum, N. A., eds) pp. 123-166. New York: Academic Press.
34. Parker, G. A. (1983). Arms races in evolution - An ESS to the opponent-independent costs game. J. Theor. Biol. 101, 619-648.
35. Ratnieks, F. L. W. (1993). Egg-laying, egg-removal, and ovary development by workers in queenright honey bee colonies. Behav. Ecol. Sociobiol. 32, 191-198.
36. Read, A. F. (1987). Comparative evidence supports the Hamilton and Zuk hypothesis on parasites and sexual selection. Nature 328, 68-70.
37. Read, A. F. & Harvey, P. H. (1989). Reassessment of comparative evidence for Hamilton and Zuk theory on the evolution of secondary sexual characters. Nature 339, 618-620.
38. Read, A. F. & Weary, D. M. (1990). Sexual selection and the evolution of bird song: A test of the Hamilton-Zuk hypothesis. Behav. Ecol. Sociobiol. 26, 47-56.
39. Rose, M. R. (1978). Cheating in evolutionary games. J. Theor. Biol. 15, 21-34.
40. Visscher, P. K. (1996). Reproductive conflict in honey bees: A stalemate of worker egg-laying and policing. Behav. Ecol. Sociobiol. 39, 237-244.
41. Ward, P. I. (1988). Sexual dichromatism and parasitism in British and Irish freshwater fish. Anim. Behav. 36, 1210-1215.