On the Unique Equilibrium State of Tetraploids under Selection

AbstractIn this paper we consider horseshoes with homoclinic tangencies inside the limit set. For a class of such maps, we prove the existence of a unique equilibrium state μt, associated to the (non-continuous) potential −tlog Ju. We also prove that the Hausdorff dimension of the limit set, in any open piece of unstable manifold, is the unique number t0 such that the pressure of μt0 is zero. To deal with the discontinuity of the jacobian, we introduce a countable Markov partition adapted to the dynamics, and work with the first return map defined in a rectangle of it.

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Entropy approximation versus uniqueness of equilibrium for a dense affine space of continuous functions

Stochastics and Dynamics ◽

10.1142/s0219493716500209 ◽

2016 ◽

Vol 16 (06) ◽

pp. 1650020

Author(s):

Henri Comman

Keyword(s):

Invariant Measure ◽

Equilibrium State ◽

Affine Space ◽

Continuous Functions ◽

Metrizable Space ◽

Unique Equilibrium ◽

Space Of Continuous Functions ◽

Compact Metrizable Space ◽

Uniqueness Of Equilibrium ◽

Unique Equilibrium State

We show that for a [Formula: see text]-action (or [Formula: see text]-action) on a non-empty compact metrizable space [Formula: see text], the existence of a affine space dense in the set of continuous functions on [Formula: see text] constituted by elements admitting a unique equilibrium state implies that each invariant measure can be approximated weakly[Formula: see text] and in entropy by a sequence of measures which are unique equilibrium states.

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Bidding Behavior and Equilibrium Excursion of Uniform Price Auction Mechanism

Asia Pacific Journal of Operational Research ◽

10.1142/s0217595917500282 ◽

2017 ◽

Vol 34 (06) ◽

pp. 1750028 ◽

Cited By ~ 1

Author(s):

Congjun Rao ◽

Yong Zhao ◽

Junjun Zheng ◽

Mark Goh ◽

Cheng Wang

Keyword(s):

Multiple Equilibria ◽

Unique Equilibrium ◽

Uniform Price Auction ◽

Bidding Behavior ◽

Uniform Price ◽

Auction Mechanism ◽

Common Value ◽

Price Auction ◽

The Relationship ◽

Unique Equilibrium State

Multiple equilibria (equilibrium excursion) affects the auction proceeds, and is bad for estimating auction efficiency. This paper examines the relationship between bidding behavior and equilibrium excursion. We analyze a uniform price auction mechanism based on a rationing strategy and common value information. In this uniform price auction mechanism, bidders (strategic and non-strategic) participate in an auction simultaneously, and the auctioneer rations the strategic bidders after observing their bids. The conclusions drawn suggest that a rationing strategy can effectively limit the strategic bidders from manipulating the auction, and the Nash equilibrium may not be unique (i.e., there exists an equilibrium excursion). As the number of bidders increases, or when the quantity that can be allocated to the non-strategic bidders is unconstrained, there exists asymptotically a unique equilibrium price which is the highest price the auctioneer could obtain. Based on these conclusions, we provide some strategies and suggestions on how to induce the equilibrium excursion state to a desired unique equilibrium state.

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A Hitherto Undescribed Naturally Occurring Plasma Antagonist of Activated Factor X Inhibitor (Antithrombin III)

10.1055/s-0038-1665828 ◽

1979 ◽

Author(s):

E. T. Yin ◽

W. J. Salsgiver ◽

O. Tangen

Keyword(s):

Equilibrium State ◽

Human Plasma ◽

Antithrombin Iii ◽

Circumstantial Evidence ◽

Incubation Mixture ◽

Factor X ◽

Normal Human Plasma ◽

Plasma Component ◽

Naturally Occurring ◽

Normal Human

Circumstantial evidence suggested that normal human plasma contained a substance regulating the neutralization of F.Xa by F.Xa inhibitor(XaI), (Yin et.al.,Adv.Exper. Med. & Biol., 52 : 239, 1975, Plenum Press, N.Y.).This plasma component has now been isolated and partially purified in our laboratory, and tentatively designated as “Anti-XaI”.In experiments employing purified components, when Anti-XaI was incubated at 37°C with F.Xa, Xal and heparin for two minutes at pH7.5, the amount of F.Xa inhibited was inversely proportional to the Anti-XaI concentration. But, when the F.Xa was replaced by thrombin in the incubation mixture, the neutralization of thrombin clotting activity was undisturbed.Anti-XaI was found to be neither PF3 nor PF4.These and other data strongly suggest that the “Antithrombin III pathway” is more complex than currently believed to be. In circulating blood an equilibrium state must exist between Anti-XaI and XaI.Under certain conditions when the Anti-XaI activity is predominant the rate of F.Xa neutralization bv XaI then becomes slower than the activation of prothrombin to thrombin by F.Xa.

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