There is something really big that Krugman simply ignores in what is being setup as a dilemma between progress and "fairness" is that in a free market one is free to buy an ownership interest in things, in a free mature market their are legal instruments and protections which allow people to pool resources to make investments and to
The construction of robots has high capital costs and carry great risk, the firms involved in the computing and robotics industries are many and they offer very different propositions to investors - some firms are white label producers generating stable but low returns through component manufacturing whilst others are high IP holding lucrative but risky ventures and you have everything in between. Nobody "owns" control of the tablet market - Apple may dominate to an extent but only to an extent - just as nobody "owns" the PC market, robotics is the same. To purchase robots a person needs to effect payment to the manufacturers and in the process you acquire a single robot - not ownership of robots.
If you have an honest economy which depreciates rent seeking and more importantly is built on the principle of not coercing risk onto others - and you should spot a thread here - then the owner of tomorrow's wealth is not pre-determined and drawn from the pool of contributors of today's capital. The cost of a robot is the only barrier to entry to being an owner of robots. What leads to problems is when coerced transfers are built into the system - nationalization does this, special corporate immunities and privileges do this, failed legal systems do this.