Mathematical Foci

2014 ◽  
Vol 2 (1-2) ◽  
pp. 5-11
Author(s):  
Romar Correa
Keyword(s):  
Cooperative Game ◽  
The Other ◽  
Individual Player

AbstractWe address the converse of a Wald–Vorob'ev theorem. In a non cooperative game, if the strategy set of any individual player is precompact, we show that the strategy sets of all the other players is precompact.

scholarly journals Mathematical indices for the influence of risk factors on the lethality of a disease

2021 ◽  
Vol 83 (6-7) ◽  
Author(s):  
Ricardo Martínez ◽  
Joaquín Sánchez-Soriano
Keyword(s):  
Risk Factors ◽  
Theoretical Model ◽  
Cooperative Game ◽  
Shapley Value ◽  
The Other ◽  
Prevention Strategies ◽  
The Shapley Value ◽  
Vaccination Campaigns

AbstractWe develop a theoretical model to measure the relative relevance of different pathologies of the lethality of a disease in society. This approach allows a ranking of diseases to be determined, which can assist in establishing priorities for vaccination campaigns or prevention strategies. Among all possible measurements, we identify three families of rules that satisfy a combination of relevant properties: neutrality, irrelevance, and one of three composition concepts. One of these families includes, for instance, the Shapley value of the associated cooperative game. The other two families also include simple and intuitive indices. As an illustration, we measure the relative relevance of several pathologies in lethality due to COVID-19.

Attributed Power, Response Strategies and Non-Zero Sum Game Behavior

1972 ◽  
Vol 30 (3) ◽  
pp. 821-822
Author(s):  
Knud S. Larsen
Keyword(s):  
Cooperative Game ◽  
Prisoner's Dilemma ◽  
Prisoner’S Dilemma ◽  
The Other ◽  
Response Strategies ◽  
Competitive Game ◽  
Independent Variable ◽  
Males And Females ◽  
Zero Sum ◽  
Power Response

43 female Ss and 46 male Ss played three Prisoner's Dilemma games. The three games were 100% cooperative, 100% competitive, and 50% random cooperative. The other independent variable was attributed power. The results showed that neither type of game nor attributed power had an effect on game behavior. Small but significant correlations were, however, found between attributed power and type of game when analyzed separately for males and females. Men high on attributed power are more cooperative in an invariable cooperative game whereas high-scoring women are more competitive in an invariable competitive game.

scholarly journals On Advertising Games and Spillover in Service Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Lei Xu ◽  
Wang Zhigang ◽  
Jun Shan ◽  
Yanzhi Wang
Keyword(s):  
Market Share ◽  
Cooperative Game ◽  
Service Provider ◽  
Service Providers ◽  
Service Systems ◽  
The Other ◽  
Service Market ◽  
Major Market

Motivated by the industry cases, we model the advertising competition between the dominant service provider and small service providers in one service market, where the dominant service provider has a major market share and the other small service providers share the remainder of market equally. Based on this setting, we discuss three advertising game models, that is, cooperative game, Boxed Pig game, and Prisoner’s game, derive the conditions for different advertising games, and characterize their equilibria. To be specific, it is found that the advertising spillover and the number of the small service providers directly determines the advertising game equilibria, while other market parameters, to some extent, can affect the results of the advertising game equilibria. According to our theoretical findings, some management insights and suggestions are given from both the academic and practical perspectives.

scholarly journals The Role of Personal Values and Empathy in a Cooperative Game

2015 ◽  
Vol 9 (2) ◽  
pp. 1834-1844 ◽  
Author(s):  
Jieyu LV ◽  
Michael J. Proulx ◽  
Magda Osman
Keyword(s):  
Cooperative Game ◽  
Perspective Taking ◽  
Personal Values ◽  
Economic Value ◽  
Social Value ◽  
The Other ◽  
Public Goods Game ◽  
The Social ◽  
Tit For Tat

Are the personal values of others a relevant cue when thinking about cooperating, and do values matter more than empathizing with others? To address these questions, the present study presented participants (N = 120) with the details of personal values (social values [e.g., family, friends] or economic values [e.g., phone, bike]) held by fictitious players of a linear public goods game (PGG). In addition, half those tested were induced to empathize with the other players via presenting perspective-taking instructions (empathy induction), and the other half were not. For those that believed they were interacting with real players in a cooperative game (n=70) values did indeed matter. Participants acted more cooperatively in the Social Value condition as compared to the Economic Value condition when there was empathy induction. While empathy induction (perspective-taking instructions) made little difference to levels of cooperation, it did reduce the use of the tit-for-tat strategy in the game. These findings present some challenges to recent work promoting the role of empathy in pro-social behaviors

Stromatoporoids from the Famennian (Devonian) Wabamun Formation, Normandville oilfield, north–central Alberta, Canada

1988 ◽  
Vol 62 (03) ◽  
pp. 411-419 ◽  
Author(s):  
Colin W. Stearn
Keyword(s):  
Patch Reef ◽  
Abundant Species ◽  
The Other ◽  
North Central ◽  
Biotic Crisis

Stromatoporoids are the principal framebuilding organisms in the patch reef that is part of the reservoir of the Normandville field. The reef is 10 m thick and 1.5 km2in area and demonstrates that stromatoporoids retained their ability to build reefal edifices into Famennian time despite the biotic crisis at the close of Frasnian time. The fauna is dominated by labechiids but includes three non-labechiid species. The most abundant species isStylostroma sinense(Dong) butLabechia palliseriStearn is also common. Both these species are highly variable and are described in terms of multiple phases that occur in a single skeleton. The other species described areClathrostromacf.C. jukkenseYavorsky,Gerronostromasp. (a columnar species), andStromatoporasp. The fauna belongs in Famennian/Strunian assemblage 2 as defined by Stearn et al. (1988).

D. The Line Spectrum of Pulsating Variable Stars

1967 ◽  
Vol 28 ◽  
pp. 207-244
Author(s):  
R. P. Kraft
Keyword(s):  
Variable Stars ◽  
The Other ◽  
Line Spectrum ◽  
Afternoon Session ◽  
Empirical Information ◽  
Pulsating Variable Stars ◽  
Almost Continuous ◽  
Informal Approach

(Ed. note:Encouraged by the success of the more informal approach in Christy's presentation, we tried an even more extreme experiment in this session, I-D. In essence, Kraft held the floor continuously all morning, and for the hour and a half afternoon session, serving as a combined Summary-Introductory speaker and a marathon-moderator of a running discussion on the line spectrum of cepheids. There was almost continuous interruption of his presentation; and most points raised from the floor were followed through in detail, no matter how digressive to the main presentation. This approach turned out to be much too extreme. It is wearing on the speaker, and the other members of the symposium feel more like an audience and less like participants in a dissective discussion. Because Kraft presented a compendious collection of empirical information, and, based on it, an exceedingly novel series of suggestions on the cepheid problem, these defects were probably aggravated by the first and alleviated by the second. I am much indebted to Kraft for working with me on a preliminary editing, to try to delete the side-excursions and to retain coherence about the main points. As usual, however, all responsibility for defects in final editing is wholly my own.)

C. The Continuous Spectrum of Pulsating Variable Stars

1967 ◽  
Vol 28 ◽  
pp. 177-206
Author(s):  
J. B. Oke ◽  
C. A. Whitney
Keyword(s):  
Continuous Spectrum ◽  
Variable Stars ◽  
Velocity Fields ◽  
The Other ◽  
Line Spectrum ◽  
Direct Information ◽  
Thermodynamic Structure ◽  
Diagnostic Interpretation ◽  
Pulsating Variable Stars ◽  
The Continuum

Pecker:The topic to be considered today is the continuous spectrum of certain stars, whose variability we attribute to a pulsation of some part of their structure. Obviously, this continuous spectrum provides a test of the pulsation theory to the extent that the continuum is completely and accurately observed and that we can analyse it to infer the structure of the star producing it. The continuum is one of the two possible spectral observations; the other is the line spectrum. It is obvious that from studies of the continuum alone, we obtain no direct information on the velocity fields in the star. We obtain information only on the thermodynamic structure of the photospheric layers of these stars–the photospheric layers being defined as those from which the observed continuum directly arises. So the problems arising in a study of the continuum are of two general kinds: completeness of observation, and adequacy of diagnostic interpretation. I will make a few comments on these, then turn the meeting over to Oke and Whitney.

Observing programme for the 24-inch/36-inch Schmidt telescope

1966 ◽  
Vol 24 ◽  
pp. 337
Author(s):  
W. Iwanowska
Keyword(s):  
The Other ◽  
Schmidt Telescope ◽  
Flint Glass

A new 24-inch/36-inch//3 Schmidt telescope, made by C. Zeiss, Jena, has been installed since 30 August 1962, at the N. Copernicus University Observatory in Toruń. It is equipped with two objective prisms, used separately, one of crown the other of flint glass, each of 5° refracting angle, giving dispersions of 560Å/mm and 250Å/ mm respectively.

A hard choice for Tomasello

2020 ◽  
Vol 43 ◽  
Author(s):  
Philip Pettit
Keyword(s):  
Joint Action ◽  
The Other ◽  
Hard Choice ◽  
Margaret Gilbert ◽  
Michael Bratman ◽  
Human Sense ◽  
Sense Of Obligation

Abstract Michael Tomasello explains the human sense of obligation by the role it plays in negotiating practices of acting jointly and the commitments they underwrite. He draws in his work on two models of joint action, one from Michael Bratman, the other from Margaret Gilbert. But Bratman's makes the explanation too difficult to succeed, and Gilbert's makes it too easy.

A study of cometary eruptions through OH radio-lines

1999 ◽  
Vol 173 ◽  
pp. 249-254
Author(s):  
A.M. Silva ◽  
R.D. Miró
Keyword(s):  
Short Duration ◽  
Growth Curves ◽  
The Other ◽  
Initial Mass ◽  
Radio Lines ◽  
Other Hand ◽  
Sudden Rise

AbstractWe have developed a model for theH2OandOHevolution in a comet outburst, assuming that together with the gas, a distribution of icy grains is ejected. With an initial mass of icy grains of 108kg released, theH2OandOHproductions are increased up to a factor two, and the growth curves change drastically in the first two days. The model is applied to eruptions detected in theOHradio monitorings and fits well with the slow variations in the flux. On the other hand, several events of short duration appear, consisting of a sudden rise ofOHflux, followed by a sudden decay on the second day. These apparent short bursts are frequently found as precursors of a more durable eruption. We suggest that both of them are part of a unique eruption, and that the sudden decay is due to collisions that de-excite theOHmaser, when it reaches the Cometopause region located at 1.35 × 105kmfrom the nucleus.

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