[PDF] Endogenous Network Dynamics eBook

Author : Frank H. Page
Publisher :
Page : 0 pages
File Size : 36,9 MB
Release : 2009
Category :
ISBN :

GET BOOK

In all social and economic interactions, individuals or coalitions choose not only with whom to interact but how to interact, and over time both the structure (the "with whom") and the strategy ("the how") of interactions change. Our objectives here are to model the structure and strategy of interactions prevailing at any point in time as a directed network and to address the following open question in the theory of social and economic network formation: given the rules of network and coalition formation, the preferences of individuals over networks, the strategic behavior of coalitions in forming networks, and the trembles of nature, what network and coalitional dynamics are likely to emergence and persist. Our main contributions are (i) to formulate the problem of network and coalition formation as a dynamic, stochastic game, (ii) to show that this game possesses a stationary correlated equilibrium (in network and coalition formation strategies), (iii) to show that, together with the trembles of nature, this stationary correlated equilibrium determines an equilibrium Markov process of network and coalition formation which respects the rules of network and coalition formation and the preferences of individuals, and (iv) to show that, although uncountably many networks may form, this endogenous process of network and coalition formation possesses a nonempty finite set of ergodic measures and generates a finite, disjoint collection of nonempty subsets of networks and coalitions, each constituting a basin of attraction. Moreover, we extend to the setting of endogenous Markov dynamics the notions of pairwise stability (Jackson-Wolinsky, 1996), strong stability (Jackson-van den Nouweland, 2005), and Nash stability (Bala-Goyal, 2000), and we show that in order for any network-coalition pair to be stable (pairwise, strong, or Nash) it is necessary and sufficient that the pair reside in one of finitely many basins of attraction - and hence reside in the support of an ergodic measure. The results we obtain here for endogenous network dynamics and stochastic basins of attraction are the dynamic analogs of our earlier results on endogenous network formation and strategic basins of attraction in static, abstract games of network formation (Page and Wooders, 2008), and build on the seminal contributions of Jackson and Watts (2002), Konishi and Ray (2003), and Dutta, Ghosal, and Ray (2005).

Author : Weifang Zhao
Publisher :
Page : 0 pages
File Size : 44,98 MB
Release : 2022
Category :
ISBN :

GET BOOK

I construct a stylized model of endogenous network dynamics. In the model, large enough negative (positive) idiosyncratic shock cause the network to become denser (sparser). The initial structure of the network matters. The effect is convex in the initial density of the network.

Author : Cong Jiang
Publisher :
Page : 0 pages
File Size : 49,92 MB
Release : 2022
Category :
ISBN :

GET BOOK

I construct a stylized model of endogenous network dynamics. In the model, large enough negative (positive) idiosyncratic shock cause the network to become denser (sparser). The initial structure of the network matters. The effect is convex in the initial density of the network.

Author : Peter Hedström
Publisher : OUP Oxford
Page : 795 pages
File Size : 24,25 MB
Release : 2011-01-06
Category : Social Science
ISBN : 0191615234

GET BOOK

Analytical sociology is a strategy for understanding the social world. It is concerned with explaining important social facts such as network structures, patterns of residential segregation, typical beliefs, cultural tastes, and common ways of acting. It explains such facts by detailing in clear and precise ways the mechanisms through which the social facts were brought about. Making sense of the relationship between micro and macro thus is one of the central concerns of analytical sociology. The approach is a contemporary incarnation of Robert K. Merton's notion of middle-range theory and presents a vision of sociological theory as a tool-box of semi-general theories each of which is adequate for explaining certain types of phenomena. The Handbook brings together some of the most prominent sociologists in the world. Some of the chapters focus on action and interaction as the cogs and wheels of social processes, while others consider the dynamic social processes that these actions and interactions bring about.

Author : Marianna A. Klochko
Publisher : Edward Elgar Publishing
Page : 296 pages
File Size : 10,17 MB
Release : 2005-01-01
Category : Business & Economics
ISBN : 9781781958001

GET BOOK

'Peter Ordeshook is an outstanding scholar and is addressing a very important question. As he points out on the first page of Chapter 1, social norms do exist and are adhered to, constitutions survive, people cooperate with others in some settings, but not in others. The topic of this book is very exciting and important - this is a real winner.' - Elinor Ostrom, Indiana University, US Marianna Klochko and Peter Ordeshook address an under-studied issue from rational choice theory - the common assumption that individual time preferences are exogenous and fixed. They then present empirical evidence to suggest that this is not the case, exploring a computer simulation model that allows for the evolutionary change of time preferences. This is done, moreover, in the context of social networks that are themselves endogenously determined.

Author : Daron Acemoglu
Publisher :
Page : 48 pages
File Size : 10,18 MB
Release : 2010
Category : Communication
ISBN :

GET BOOK

We develop a model of information exchange through communication and investigate its implications for information aggregation in large societies. An underlying state determines payoffs from different actions. Agents decide which others to form a costly communication link with incurring the associated cost. After receiving a private signal correlated with the underlying state, they exchange information over the induced communication network until taking an (irreversible) action. We define asymptotic learning as the fraction of agents taking the correct action converging to one in probability as a society grows large. Under truthful communication, we show that asymptotic learning occurs if (and under some additional conditions, also only if) in the induced communication network most agents are a short distance away from "information hubs," which receive and distribute a large amount of information. Asymptotic learning therefore requires information to be aggregated in the hands of a few agents. We also show that while truthful communication may not always be a best response, it is an equilibrium when the communication network induces asymptotic learning. Moreover, we contrast equilibrium behavior with a socially optimal strategy profile, i.e., a profile that maximizes aggregate welfare. We show that when the network induces asymptotic learning, equilibrium behavior leads to maximum aggregate welfare, but this may not be the case when asymptotic learning does not occur. We then provide a systematic investigation of what types of cost structures and associated social cliques (consisting of groups of individuals inked to each other at zero cost, such as friendship networks) ensure the emergence of communication networks that lead to asymptotic learning. Our result shows that societies with 599 many and sufficiently large social cliques do not induce asymptotic learning, because each social clique would have sufficient information by itself, making communication with others relatively unattractive. Asymptotic learning results if social cliques are neither too numerous nor too large, in which communication across cliques is encouraged. Keywords: communication, learning, network formation, social networks. JEL Classifications: D83, D85.