scholarly journals Generic Finiteness of Equilibrium Distributions for Bimatrix Outcome Game Forms

2017 ◽  
Author(s):  
Cristian M. Litan
Keyword(s):  
Equilibrium Distributions ◽  
Game Forms ◽  
Generic Finiteness

scholarly journals Generic finiteness of equilibrium distributions for bimatrix outcome game forms

2018 ◽  
Vol 287 (2) ◽  
pp. 801-810
Author(s):  
Cristian Litan ◽  
Francisco Marhuenda ◽  
Peter Sudhölter
Keyword(s):  
Equilibrium Distributions ◽  
Game Forms ◽  
Generic Finiteness

scholarly journals On the generic finiteness of equilibrium outcome distributions in bimatrix game forms

2008 ◽  
Vol 139 (1) ◽  
pp. 392-395 ◽  
Author(s):  
Nikolai S. Kukushkin ◽  
Cristian M. Litan ◽  
Francisco Marhuenda
Keyword(s):  
Equilibrium Outcome ◽  
Bimatrix Game ◽  
Game Forms ◽  
Generic Finiteness

scholarly journals On the Generic Finiteness of Equilibrium Outcome Distributions in Game Forms

Econometrica ◽  
2001 ◽  
Vol 69 (2) ◽  
pp. 455-471 ◽  
Author(s):  
Srihari Govindan ◽  
Andrew McLennan
Keyword(s):  
Equilibrium Outcome ◽  
Game Forms ◽  
Generic Finiteness

State-dependent signalling in queueing networks

1994 ◽  
Vol 26 (02) ◽  
pp. 436-455 ◽  
Author(s):  
W. Henderson ◽  
B. S. Northcote ◽  
P. G. Taylor
Keyword(s):  
Queueing Networks ◽  
State Dependence ◽  
Product Form ◽  
Batch Size ◽  
Single Server ◽  
Negative Customers ◽  
Affect Control ◽  
State Dependent ◽  
Special Cases ◽  
Equilibrium Distributions

It has recently been shown that networks of queues with state-dependent movement of negative customers, and with state-independent triggering of customer movement have product-form equilibrium distributions. Triggers and negative customers are entities which, when arriving to a queue, force a single customer to be routed through the network or leave the network respectively. They are ‘signals' which affect/control network behaviour. The provision of state-dependent intensities introduces queues other than single-server queues into the network. This paper considers networks with state-dependent intensities in which signals can be either a trigger or a batch of negative customers (the batch size being determined by an arbitrary probability distribution). It is shown that such networks still have a product-form equilibrium distribution. Natural methods for state space truncation and for the inclusion of multiple customer types in the network can be viewed as special cases of this state dependence. A further generalisation allows for the possibility of signals building up at nodes.

scholarly journals Dynamics of Microsatellite Divergence Under Stepwise Mutation and Proportional Slippage/Point Mutation Models

Genetics ◽  
2001 ◽  
Vol 159 (2) ◽  
pp. 839-852 ◽  
Author(s):  
Peter P Calabrese ◽  
Richard T Durrett ◽  
Charles F Aquadro
Keyword(s):  
Point Mutations ◽  
Genetic Distances ◽  
Mutational Bias ◽  
Human Populations ◽  
Mutation Model ◽  
Perfect Repeat ◽  
Stepwise Mutation ◽  
Equilibrium Distributions ◽  
Theoretical Results ◽  
Polymerase Slippage

Abstract Recently Kruglyak, Durrett, Schug, and Aquadro showed that microsatellite equilibrium distributions can result from a balance between polymerase slippage and point mutations. Here, we introduce an elaboration of their model that keeps track of all parts of a perfect repeat and a simplification that ignores point mutations. We develop a detailed mathematical theory for these models that exhibits properties of microsatellite distributions, such as positive skewness of allele lengths, that are consistent with data but are inconsistent with the predictions of the stepwise mutation model. We use our theoretical results to analyze the successes and failures of the genetic distances (δμ)2 and DSW when used to date four divergences: African vs. non-African human populations, humans vs. chimpanzees, Drosophila melanogaster vs. D. simulans, and sheep vs. cattle. The influence of point mutations explains some of the problems with the last two examples, as does the fact that these genetic distances have large stochastic variance. However, we find that these two features are not enough to explain the problems of dating the human-chimpanzee split. One possible explanation of this phenomenon is that long microsatellites have a mutational bias that favors contractions over expansions.

scholarly journals Acyclicity of improvements in finite game forms

2010 ◽  
Vol 40 (1) ◽  
pp. 147-177 ◽  
Author(s):  
Nikolai S. Kukushkin
Keyword(s):  
Finite Game ◽  
Game Forms
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