Effects of local connectivity in a competitive population with limited resources

Abstract

We examine, numerically and analytically, the effect of network connections within a frustrated system where heterogeneous, adaptive nodes ("agents") compete for limited global resources. We uncover a rich spectrum of non-ergodic dynamics. Whether the network connections turn out to be beneficial or detrimental is found to depend quite dramatically on the global resource level.

Herd behavior in a complex adaptive system

“…In such kind of situations, adding imitating agents will only bring about a "crowded system" in which larger fluctuations (volatility) turn up. In this respect, our study shares some common features with the Binary-Agent-Resource model (18,19). In particular, the "crowd effect" has been observed in these models and the inclusion of imitating agents in our model can be explained as a special kind of networking effects.…”

Error-driven global transition in a competitive population on a network

“…The regime ͑q =0, p 0͒ is discussed in Ref. [8] for general m, while the regime ͑q 0, p 0͒ will be similar to the present results for sufficiently large p. A full discussion for larger m will be presented elsewhere.…”

“…It is widely recognized [2] that Arthur's multiagent "El Farol bar problem" (EFBP) [3] embodies the interacting, many-body nature of many realworld complex systems. In particular, a binary representation of the EFBP, namely, the "Minority Game" (MG) [4][5][6][7][8], plays the role of a new "Ising Model" for theoretical physics.Despite widespread interest among physicists in biological, informational and socio-economic networks [9], researchers have only just started considering the effect of such networks in the MG and EFBP [7,8]. It has so far been assumed that any information shared between agents is always perfectly accurate.…”

“…It is widely recognized [2] that Arthur's multiagent "El Farol bar problem" (EFBP) [3] embodies the interacting, many-body nature of many realworld complex systems. In particular, a binary representation of the EFBP, namely, the "Minority Game" (MG) [4][5][6][7][8], plays the role of a new "Ising Model" for theoretical physics.…”

“…Despite widespread interest among physicists in biological, informational and socio-economic networks [9], researchers have only just started considering the effect of such networks in the MG and EFBP [7,8]. It has so far been assumed that any information shared between agents is always perfectly accurate.…”