The PageRank concept is that a page casts votes for one or more other pages. Nothing is said in the original PageRank document about a page casting more than one vote for a single page. The idea seems to be against the PageRank concept and would certainly be open to manipulation by unrealistically proportioning votes for target pages. E.g. if an outbound link, or a link to an unimportant page, is necessary, add a bunch of links to an important page to minimize the effect.

Just a related note in passing: On October 6, 2013 Matt Cutts (Google’s head of search spam) said Google PageRank Toolbar won’t see an update before 2014. He also published this helpful video that talks more in depth about how he (and Google) define PageRank, and how your site’s internal linking structure (IE: Your siloing structure) can directly affect PageRank transfer. Here’s a link to the video:

The PageRank algorithm has major effects on society as it contains a social influence. As opposed to the scientific viewpoint of PageRank as an algorithm the humanities instead view it through a lens examining its social components. In these instances, it is dissected and reviewed not for its technological advancement in the field of search engines, but for its societal influences.

PageRank was influenced by citation analysis, early developed by Eugene Garfield in the 1950s at the University of Pennsylvania, and by Hyper Search, developed by Massimo Marchiori at the University of Padua. In the same year PageRank was introduced (1998), Jon Kleinberg published his work on HITS. Google's founders cite Garfield, Marchiori, and Kleinberg in their original papers.[5][17]
Search results are presented in an ordered list, and the higher up on that list a site can get, the more traffic the site will tend to receive. For example, for a typical search query, the number one result will receive 40-60% of the total traffic for that query, with the number two and three results receiving significantly less traffic. Only 2-3% of users click beyond the first page of search results.
Although the full scope of SEO is far too broad to cover comprehensively here, all you need to know is that SEO focuses primarily on achieving higher rankings from an organic perspective. Businesses may hire an agency or SEO professional to perform their SEO work, but beyond this investment, no money changes hands and all the emphasis is placed on ranking more highly in organic search.
“Dangling links are simply links that point to any page with no outgoing links. They affect the model because it is not clear where their weight should be distributed, and there are a large number of them. Often these dangling links are simply pages that we have not downloaded yet……….Because dangling links do not affect the ranking of any other page directly, we simply remove them from the system until all the PageRanks are calculated. After all the PageRanks are calculated they can be added back in without affecting things significantly.”
SERPs typically contain two types of content – “organic” results and paid results. Organic results are listings of web pages that appear as a result of the search engine’s algorithm (more on this shortly). Search engine optimization professionals, commonly known as SEOs, specialize in optimizing web content and websites to rank more highly in organic search results.

An SEO technique is considered white hat if it conforms to the search engines' guidelines and involves no deception. As the search engine guidelines[18][19][51] are not written as a series of rules or commandments, this is an important distinction to note. White hat SEO is not just about following guidelines, but is about ensuring that the content a search engine indexes and subsequently ranks is the same content a user will see. White hat advice is generally summed up as creating content for users, not for search engines, and then making that content easily accessible to the online "spider" algorithms, rather than attempting to trick the algorithm from its intended purpose. White hat SEO is in many ways similar to web development that promotes accessibility,[52] although the two are not identical.
So if you think about it, SEO is really just a process of proving to search engines that you are the best site, the most authoritative, the most trusted, the most unique and interesting site that they can offer to their customer - the searcher. Get people to talk about you, produce good quality content, get people to link to you, and Google will be more confident that you are the best result that they can offer to their searchers, and that’s when you will start ranking on the first page of Google.
Another example when the “nofollow" attribute can come handy are widget links. If you are using a third party's widget to enrich the experience of your site and engage users, check if it contains any links that you did not intend to place on your site along with the widget. Some widgets may add links to your site which are not your editorial choice and contain anchor text that you as a webmaster may not control. If removing such unwanted links from the widget is not possible, you can always disable them with “nofollow" attribute. If you create a widget for functionality or content that you provide, make sure to include the nofollow on links in the default code snippet.
With this, appearing in Google’s local pack is now more important than ever. In 2014, Mediative conducted an eye-tracking research studying where users look on Google’s SERP. The study showed that users often focus their attention near the top of the page, on the local search results, and the first organic search result. In addition to this, several studies have concluded that organic search listings receive more than 90% of the clicks, with users favoring local search results the most.
Digital marketing became more sophisticated in the 2000s and the 2010s, when[13][14] the proliferation of devices' capable of accessing digital media led to sudden growth.[15] Statistics produced in 2012 and 2013 showed that digital marketing was still growing.[16][17] With the development of social media in the 2000s, such as LinkedIn, Facebook, Youtube and Twitter, consumers became highly dependent on digital electronics in daily lives. Therefore, they expected a seamless user experience across different channels for searching product's information. The change of customer behavior improved the diversification of marketing technology.[18]
Many websites need to contain some outbound links that are nothing to do with PageRank. Unfortunately, all ‘normal’ outbound links leak PageRank. But there are ‘abnormal’ ways of linking to other sites that don’t result in leaks. PageRank is leaked when Google recognizes a link to another site. The answer is to use links that Google doesn’t recognize or count. These include form actions and links contained in javascript code.
And that sense of context has grown from simple matching of words, and then of phrases, to the matching of ideas. And the meanings of those ideas change over time and context. Successful matching can be crowd sourced, what are others currently searching for and clicking on, when one enters keywords related to those other searches. And the crowd sourcing may be focused based upon one's own social networking.
All sites have a home or "root" page, which is usually the most frequented page on the site and the starting place of navigation for many visitors. Unless your site has only a handful of pages, you should think about how visitors will go from a general page (your root page) to a page containing more specific content. Do you have enough pages around a specific topic area that it would make sense to create a page describing these related pages (for example, root page -> related topic listing -> specific topic)? Do you have hundreds of different products that need to be classified under multiple category and subcategory pages?
Moreover, the PageRank mechanism is entirely general, so it can applied to any graph or network in any field. Currently, the PR formula is used in bibliometrics, social and information network analysis, and for link prediction and recommendation. It's even used for system analysis of road networks, as well as biology, chemistry, neuroscience, and physics.
Paid-for links and ads on your site MUST have a nofollow attribute (see Google’s policy on nofollow). If you have paid links that are left followed, the search engines might suspect you are trying to manipulate search results and slap your site with a ranking penalty. Google’s Penguin algorithm eats manipulative paid links for lunch, so stay off the menu by adding nofollow attributes where applicable.
When Googlebot crawls a page, it should see the page the same way an average user does15. For optimal rendering and indexing, always allow Googlebot access to the JavaScript, CSS, and image files used by your website. If your site's robots.txt file disallows crawling of these assets, it directly harms how well our algorithms render and index your content. This can result in suboptimal rankings.
SEO techniques can be classified into two broad categories: techniques that search engine companies recommend as part of good design ("white hat"), and those techniques of which search engines do not approve ("black hat"). The search engines attempt to minimize the effect of the latter, among them spamdexing. Industry commentators have classified these methods, and the practitioners who employ them, as either white hat SEO, or black hat SEO.[49] White hats tend to produce results that last a long time, whereas black hats anticipate that their sites may eventually be banned either temporarily or permanently once the search engines discover what they are doing.[50]