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Asymmetric interaction will facilitate the evolution of cooperation

Science china(Life Sciences) 2010年第8期53卷 1041-1046页

作者： WANG RuiWu1, HE JunZhou1,2, WANG YaQiang1,2, SHI Lei1,3 & LI YaoTang1,2 1 State Key Laboratory of Genetic Resources and Evolution, kunming Institute of Zoology, Chinese Academy of Science, kunming 650223, china 2.school of mathematics and statistics, yunnan university, kunming 650091. china 3 statistics and mathematics College, yunnan university of Finance and Economics, kunming 650221, china 1. State Key Laboratory of Genetic Resources and Evolution Kunming Institute of Zoology Chinese Academy of Science Kunming 650223 China2. School of Mathematics and Statistics Yunnan University Kunming 650091 China3. Statistics and Mathematics College Yunnan University of Finance and Economics Kunming 650221 China

Explaining the evolution of cooperation remains one of the greatest problems for both biology and social science. The classical theories of cooperation suggest that cooperation equilibrium or evolutionary stable strategy between partners can be maintained through genetic similarity or reciprocity relatedness. These classical theories are based on an assumption that partners interact symmetrically with equal payoffs in a game of cooperation interaction. However, the payoff between partners is usually not equal and therefore they often interact asymmetrically in real cooperative systems. With the Hawk–Dove model, we find that the probability of cooperation between cooperative partners will depend closely on the payoff ratio. The higher the payoff ratio between recipients and cooperative actors, the greater will be the probability of cooperation interaction between involved partners. The greatest probability of conflict between cooperative partners will occur when the payoff between partners is equal. The results show that this asymmetric relationship is one of the key dynamics of the evolution of cooperation, and that pure cooperation strategy (i.e., Nash equilibrium) does not exist in asymmetrical cooperation systems, which well explains the direct conflict observed in almost all of the well documented cooperation systems. The model developed here shows that the cost-to-benefit ratio of cooperation is also negatively correlated with the probability of cooperation interaction. A smaller cost-to-benefit ratio of cooperation might be created by the limited dispersal ability or exit cost of the partners involved, and it will make the punishment of the non-cooperative individuals by the recipient more credible, and therefore make it more possible to maintain stable cooperation interaction.

关键词： Hawk–Dove game evolutionarily stable strategy asymmetric cooperation mixed strategy Nash equilibrium

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The right dual of left C-rpp semigroups

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Chinese Science Bulletin 1997年第19期42卷 1599-1603页

作者： GUO YuqiDepartment of mathematics, yunnan university, kunming 650091. china Department of mathematics Yunnan University Kunming China

SEMIGROUP S is said to be rpp (dually, lpp) if every principal right ideal aS^1(S^1a) of S, re-garded as a right (left)S^1-system, is projective. The semigroup which is both rpp and lpp is said to be abundant. These kinds of generalized regular semigroups have aroused wideattention. The Green’s,relations (~*-Green’s relations introduced by Pastijn) have formed avery useful tool in study on regular (abundant) semigroups. In order to develop the study onrpp semigroups a step further, we introduced the so-called (1)-Green’s,relation which

关键词： rpp semigroups left (right) C-rpp semigroups. (I)-Green’s relations.

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Regularity of the Attractor for the Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities

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Acta Mathematicae Applicatae Sinica 2002年第2期18卷 263-272页

作者： Zheng-de DaiDepartment of mathematics, yunnan university, kunming 650091. china Department of mathematics Yunnan Normal University Kunming China

In the present paper, the existence of global attractor for dissipative Hamiltonian amplitude equation governing the modulated wave instabilities in E0 is considered. By a decomposition of solution operator, it is sho... 详细信息

关键词： Regularity of Global attractor Hamiltonian amplitude equation

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Congruences on ideal nil-extension of completely regular semigroups

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Chinese Science Bulletin 1998年第5期43卷 379-381页

作者： REN Xueming 1, 2 GUO Yuqi 2 and CEN Jiaping (Shum Kar-ping) 31. Department of mathematics, Xi’an university of Architecture & Technology, Xi’an 710055, china 2. Department of mathematics, yunnan university, kunming 650091. china 3. Department of Department of mathematics Xi’an University of Architecture & Technology Xi’an China Department of mathematics Yunnan University Kunming China Department of mathematics Chinese University of Hong Kong Hong Kong

Let S be an ideal nil-extension of a completely regular semigroup K by a nil semigroup Q with zero. A concept of admissible congruence pairs (δ,ω) of S is introduced, where δ and ω are a congruence on Q and a congruence on K respectively. It is proved that every congruence on S can be uniquely respresented by an admissible congruence pair (δ,ω) of S. Suppose that ρ K denotes the Rees congruence induced by the ideal K of S. Then it is shown that for any congruence σ on S,a mapping Γ:σ|→(σ Q,σ K) is an order-preserving bijection from the set of all congruences on S onto the set of all admissible congruence pairs of S,where σ K is the restriction of σ to K and σ Q=(σ∨ρ K)/ρ K. Moreover,the lattice of congruences of S is also discussed. As a special case,every congruence on completely Archimedean semigroups S is described by an admissible quarterple of S. The following question is asked: Is the lattice of congruences of the completely Archimedean semigroup a semimodular lattice?

关键词： completely regular semigroups ideal nil-extension congruences.

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Abundant Semigroups with a Multiplicative Adequate Transversal

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Acta Mathematica Sinica,English Series 2002年第2期18卷 229-244页

作者： GUO Xiao Jiang Department of mathematics.yunnan university.kunming 650091.P.R.china Department of mathematics Yunnan University Kunming P. R. China

The aim of this paper is to investigate abundant semigroups with a multiplicative adequate *** properties and characterizations for such semigroups are *** particular. we establish the structure of this class of abundant semigroups in terms of left normal bands,right normal braids and adequate semigroups with some simple Compatibility *** apply this structure to some special cases.

关键词： Abundant semigroup Adequate semigroup Left(Right)normal band

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Influence of Microwave Radiation on Properties and Structure of Fe_2O_3/SO_4^(2-) Solid Superacid Catalyst

引用

Journal of Materials Science & Technology 1996年第4期12卷 307-311页

作者： Yinan NING (kunming Institute of Precious Metals, kunming 650221, china)Jiaqiang WANG and Pinjie HONG(yunnan university, kunming 650091. china) yunnan UNIV KUNMING 650091PEOPLES R CHINA

The microwave radiation method was introduced to prepare the Fe_2O_3/SO solid *** structure and properties were investigated by means of X-ray diffraction and infrared spectrum analyses as well as measurement of magnetic susceptibility and rate of esterification. The structure of the superacids prepared in microwave field can be crystalline or non-crystalline, the latter has not been reported yet in literatures. Comparing with the traditional superacid, the non-crystalline Fe2O3/SO superacid prepared in microwave field has the highest magnetic susceptibility and catalytic activity. The di-coordination of Fe2O3 and SO and the S=O bi-bond were reinforced by microwave radiation, which is favorable for increasing the acid intensity of the Fe2O3/SO catalyst

关键词： SO Influence of Microwave Radiation on Properties and Structure of Fe2O3/SO4 Solid Superacid Catalyst Fe

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ASSESSMENT OF LOCAL INFLUENCE FOR F-TESTIN LINEAR REGRESSION MODEL

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Systems Science and Mathematical Sciences 1999年第1期12卷 33-39页

作者： SHI Lei (Department of statistics, yunnan university, kunming 650091. china) 云南大学统计系云南昆明

In linear regression model, the influence on the regression coefficients has beed paid great attention and other aspects such as the influence on confidence regions have also been studied. However, influence on F-test in linear regression model received few consideration. This paper examines the local influence of small perturbations on Fstatistic. The diagnostic results permit one to check the sensitivity of F-statistic to the exact perturbations of error variance, explanatory variables and response variables. This method is applied to testing problem of transformation parameter in transformation *** are illustrated with two examples and compared with standard method.

关键词： Linear regression model local influence F-test transformation model.

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Uniqueness results for monopolar fluids

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Communications in Nonlinear Science and Numerical Simulation 2000年第1期5卷 21-23页

作者： Guoguang LIN Department of mathematics, yunnan university, kunming 650091. china, e-mail: gglin@ynu. edu. cn Department of mathematics Yunnan University Kunming 650091 China

We prove a unique property for weak solutions of monopolar fluid equations.

关键词： monopolar fluid equations non-Newtonian fluids uniqueness of weak solutions

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OUTLIERS AND INFLUENTIAL OBSERVATIONS IN A RIDGE MEAN SHIFT REGRESSION

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Systems Science and Mathematical Sciences 1995年第1期8卷 12-26页

作者： PAN Jianxin (Institute of Applied mathematics, yunnan Province, kunming 650091. china)XIONG Haiyan (Department of mathematics, yunnan university, kunming 650091. china) 云南省应用数学所云南昆明 650091 云南大学数学系云南昆明

ＯＵＴＬＩＥＲＳＡＮＤＩＮＦＬＵＥＮＴＩＡＬＯＢＳＥＲＶＡＴＩＯＮＳＩＮＡＲＩＤＧＥＭＥＡＮＳＨＩＦＴＲＥＧＲＥＳＳＩＯＮＰＡＮＪｉａｎｘｉｎ（ＩｎｓｔｉｔｕｔｅｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，Ｙｕｎｎａｎ... 详细信息

ＯＵＴＬＩＥＲＳＡＮＤＩＮＦＬＵＥＮＴＩＡＬＯＢＳＥＲＶＡＴＩＯＮＳＩＮＡＲＩＤＧＥＭＥＡＮＳＨＩＦＴＲＥＧＲＥＳＳＩＯＮＰＡＮＪｉａｎｘｉｎ（ＩｎｓｔｉｔｕｔｅｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ＹｕｎｎａｎＰｒｏｖｉｎｃｅ，Ｋｕｎｍｉｎｇ６...

关键词： Outliers influential observations ridge mean shift regression ridge residuals.

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A Series of Convex Functions on a Banach Space

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Acta Mathematica Sinica,English Series 1998年第1期14卷 77-84页

作者： Zheng Xiyin Department of mathematics, yunnan university, kunming 650091. china

A series of convex functions on a Banach space is studied. The generalizations of the Moreau-Rockafellar theorem are given. As its application, the partial generalization of the Kuhn- Tucker theorem is obtained.

关键词： Pointwise convergence Locally uniform convergence Subdifferential Moreau-Rockafellar theorem Kuhn-Tucker theorem

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