A natural selection from the core of a TU game: the core-center

2007 ◽  
Vol 36 (1) ◽  
pp. 27-46 ◽  
Author(s):  
Julio González-Díaz ◽  
Estela Sánchez-Rodríguez
Keyword(s):  
Natural Selection ◽  
Tu Game ◽  
The Core

scholarly journals THE DUTTA-RAY SOLUTION ON THE CLASS OF CONVEX GAMES: A GENERALIZATION AND MONOTONICITY PROPERTIES

2005 ◽  
Vol 07 (04) ◽  
pp. 431-442 ◽  
Author(s):  
JENS LETH HOUGAARD ◽  
BEZALEL PELEG ◽  
LARS PETER ØSTERDAL
Keyword(s):  
Tu Game ◽  
Convex Games ◽  
Population Monotonicity ◽  
The Core ◽  
Maximal Solutions ◽  
Monotonicity Properties

This paper considers generalized Lorenz-maximal solutions in the core of a convex TU-game and demonstrates that such solutions satisfy coalitional monotonicity and population monotonicity.

U-CYCLES IN n-PERSON TU-GAMES WITH ONLY 1, n - 1 AND n-PERSON PERMISSIBLE COALITIONS

2006 ◽  
Vol 08 (03) ◽  
pp. 355-368 ◽  
Author(s):  
JUAN CARLOS CESCO ◽  
ANA LUCÍA CALÍ
Keyword(s):  
Characterization Theorem ◽  
Tu Game ◽  
Transfer Scheme ◽  
Tu Games ◽  
The Core ◽  
Core Of A Game ◽  
Necessary And Sufficient

It has been recently proved that the non-existence of certain type of cycles of pre-imputation, fundamental cycles, is equivalent to the balancedness of a TU-games (Cesco (2003)). In some cases, the class of fundamental cycles can be narrowed and still obtain a characterization theorem. In this paper we prove that existence of maximal U-cycles, which are related to a transfer scheme designed for computing a point in the core of a game, is condition necessary and sufficient for a TU-game be non-balanced, provided n - 1 and n-person are the only coalitions with non-zero value. These games are strongly related to games with only 1, n - 1 and n-person permissible coalitions (Maschler (1963)).

scholarly journals Networks Consolidate the Core Concepts of Evolution by Natural Selection

2020 ◽  
Vol 28 (4) ◽  
pp. 254-265 ◽  
Author(s):  
François Papale ◽  
Jordane Saget ◽  
Éric Bapteste
Keyword(s):  
Natural Selection ◽  
The Core ◽  
Core Concepts ◽  
Evolution By Natural Selection

scholarly journals Bankruptcy Problem Allocations and the Core of Convex Games

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
William Olvera-Lopez ◽  
Francisco Sanchez-Sanchez ◽  
Iván Tellez-Tellez
Keyword(s):  
Convex Functions ◽  
Tu Game ◽  
Convex Games ◽  
Bankruptcy Problem ◽  
Bankruptcy Problems ◽  
The Core ◽  
Bankruptcy Games ◽  
Bankruptcy Game

A well-known result related to bankruptcy problems establishes that a vector is a bankruptcy allocation if and only if it belongs to the core of the associated O’Neill’s bankruptcy game. In this paper we show that this game is precisely the unique TU-game based on convex functions that satisfies the previous result. In addition, given a bankruptcy problem, we show a way for constructing bankruptcy games such that the set of bankruptcy allocations is a subset of their core or their core is a subset of the set of bankruptcy allocations. Also, we show how these results can be applied for finding new bankruptcy solutions.

USING THE ASPIRATION CORE TO PREDICT COALITION FORMATION

2012 ◽  
Vol 14 (01) ◽  
pp. 1250004 ◽  
Author(s):  
CAMELIA BEJAN ◽  
JUAN CAMILO GÓMEZ
Keyword(s):  
Nash Equilibrium ◽  
Coalition Formation ◽  
Solution Concept ◽  
Transferable Utility ◽  
Tu Game ◽  
Subgame Perfect Nash Equilibrium ◽  
The Core ◽  
Core Solution ◽  
Aspiration Core ◽  
Overlapping Coalitions

This work uses the defining principles of the core solution concept to determine not only payoffs but also coalition formation. Given a cooperative transferable utility (TU) game, we propose two noncooperative procedures that in equilibrium deliver a natural and nonempty core extension, the aspiration core, together with the supporting coalitions it implies. As expected, if the cooperative game is balanced, the grand coalition forms. However, if the core is empty, other coalitions arise. Following the aspiration literature, not only partitions but also overlapping coalition configurations are allowed. Our procedures interpret this fact in different ways. The first game allows players to participate with a fraction of their time in more than one coalition, while the second assigns probabilities to the formation of potentially overlapping coalitions. We use the strong Nash and subgame perfect Nash equilibrium concepts.

LARGENESS OF THE CORE OF k-CONVEX SYMMETRIC GAMES

2013 ◽  
Vol 15 (04) ◽  
pp. 1340023
Author(s):  
AMIT K BISWAS
Keyword(s):  
Core Structure ◽  
Tu Game ◽  
Convex Games ◽  
Large Core ◽  
Convex Game ◽  
The Core ◽  
Symmetric Games ◽  
Cooperative Tu Game

A cooperative TU game is said to posses a large core as defined by Sharkey [1982] if for every acceptable vector there is a smaller core vector in the game. This paper is devoted to characterization(s) of largeness of the core of a subclass of games known as k-convex games (containing the convex games in case k = n). The k-convex games were defined by Driessen [1988] because of the core structure they possess, which is the same as that of a suitably defined convex game. The main goal is to show that the totally balanced symmetric k-convex games possess a large core if and only if the game is convex.

scholarly journals Is the pan-genome also a pan-selectome?

F1000Research ◽  
2012 ◽  
Vol 1 ◽  
pp. 16 ◽  
Author(s):  
Francisco Rodriguez-Valera ◽  
David W Ussery
Keyword(s):  
Natural Selection ◽  
Core Genome ◽  
Natural Populations ◽  
Clonal Diversity ◽  
Surface Structures ◽  
Metagenomic Data ◽  
Clonal Lineage ◽  
The Core ◽  
Flexible Component ◽  
High Diversity

The comparative genomics of prokaryotes has shown the presence of conserved regions containing highly similar genes (the 'core genome') and other regions that vary in gene content (the ‘flexible’ regions). A significant part of the latter is involved in surface structures that are phage recognition targets. Another sizeable part provides for differences in niche exploitation. Metagenomic data indicates that natural populations of prokaryotes are composed of assemblages of clonal lineages or "meta-clones" that share a core of genes but contain a high diversity by varying the flexible component. This meta-clonal diversity is maintained by a collection of phages that equalize the populations by preventing any individual clonal lineage from hoarding common resources. Thus, this polyclonal assemblage and the phages preying upon them constitute natural selection units.

scholarly journals Testing grass species and varieties for land reclamation in Iceland

1988 ◽  
Vol 60 (4) ◽  
pp. 191-200
Author(s):  
Áslaug Helgadóttir
Keyword(s):  
Natural Selection ◽  
Environmental Conditions ◽  
Land Reclamation ◽  
Grass Species ◽  
Chemical Fertilizers ◽  
Variety Trials ◽  
The Core

During this century, increasing effort has been put to the reclamation of eroded areas in Iceland, both in the lowlands along the coast and in the interior of the country. The seeding of grass species along with the application of chemical fertilizers has formed the core of the reclamation work. At least 450 different varieties consisting of about 50 grass species have been tested in variety trials, but only few varieties, all of northern origin, proved valuable. Their performance is strongly dependent on environmental conditions, and it is proposed that a mixture of adapted varieties, subjected to natural selection at each location, would yield belter results.

Unnatural Selection: Comment on the “Teaching Comparative Psychology” Symposium

1987 ◽  
Vol 14 (3) ◽  
pp. 151-155 ◽  
Author(s):  
Douglas K. Candland
Keyword(s):  
Natural Selection ◽  
Human Behavior ◽  
Comparative Psychology ◽  
Professional Associations ◽  
The Public ◽  
The Core ◽  
Proximate Causation

In this discussion of symposium papers, I examine why comparative psychologists do not consider professional associations of psychology to represent the core of the discipline. I review textbooks in terms of their contribution to comparative psychology and argue that psychology avoids its natural epistemology, that of natural selection and ultimate causality, in preference for the meretricious offerings provided by proximate causation. I also examine why many psychologists consider evolution to be dehumanizing and state three goals for the teaching of comparative psychology: (a) its reliance on a central epistemological premise, (b) its demonstration of the historical ways in which comparative psychology has changed our views of human behavior, and (c) its duty to compel the student and the public to examine the ethical standing and rights of animals.

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